Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures

Abstract

Normal-conducting mesoscopic systems in contact with a superconductor are classified by the symmetry operations of time reversal and rotation of the electron's spin. Four symmetry classes are identified, which correspond to Cartan's symmetric spaces of type C, CI, D, and DIII. A detailed study is made of the systems where the phase shift due to Andreev reflection averages to zero along a typical semiclassical single-electron trajectory. Such systems are particularly interesting because they do not have a genuine excitation gap but support quasiparticle states close to the chemical potential. Disorder or dynamically generated chaos mixes the states and produces novel forms of universal level statistics. For two of the four universality classes, the n-level correlation functions are calculated by the mapping on a free 1D Fermi gas with a boundary. The remaining two classes are related to the Laguerre orthogonal and symplectic random-matrix ensembles. For a quantum dot with an NS-geometry, the weak localization correction to the conductance is calculated as a function of sticking probability and two perturbations breaking time-reversal symmetry and spin-rotation invariance. The universal conductance fluctuations are computed from a maximum-entropy S-matrix ensemble. They are larger by a factor of two than what is naively expected from the analogy with normal-conducting systems. This enhancement is explained by the doubling of the number of slow modes: owing to the coupling of particles and holes by the proximity to the superconductor, every cooperon and diffuson mode in the advanced-retarded channel entails a corresponding mode in the advanced-advanced (or retarded-retarded) channel.

Criticism of results by Nagao and Slevin withdrawn

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• Spectral and Steady-State Properties of Random Liouvillians
• Band Gap Closing in a Synthetic Hall Tube of Neutral Fermions
• Moments of the transmission eigenvalues, proper delay times and random matrix theory I
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• Probing Atomic Majorana Fermions in Optical Lattices
• Topological states in quasicrystals
• Topological Varma superfluid in optical lattices
• Dimensional transmutation from non-Hermiticity
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• Particle-Hole Symmetries in Condensed Matter
• Atiyah-Hirzebruch Spectral Sequence in Band Topology: General Formalism and Topological Invariants for 230 Space Groups
• Topological classification under nonmagnetic and magnetic point group symmetry: Application of real-space Atiyah-Hirzebruch spectral sequence to higher-order topology
• Revealing a topological connection between stabilities of Fermi surfaces and topological insulators/superconductors
• Characterization of topological phase transitions via topological properties of transition points
• Tunable room temperature nonlinear Hall effect from the surfaces of elementary bismuth thin films
• Magnetic properties of Sr_2Fe_1+xMo_1-xO_6 with -1 <= x <= 0.25
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• Surface criticality and multifractality at localization transitions
• Non-Abelian topological spin liquids from arrays of quantum wires or spin chains
• Signatures of a topological phase transition in a planar Josephson junction
• Continuous and discontinuous topological quantum phase transitions
• Edge-dependent topology in Kekulé lattices
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• Extremal Correlators and Random Matrix Theory
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• Conductivity of disordered graphene at half filling
• Quantum Hall plateau transition in graphene with spatially correlated random hopping
• Isospin of topological defects in Dirac systems
• Moments of the transmission eigenvalues, proper delay times and random matrix theory II
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• Towards a mathematical formalism for classifying phases of matter
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• Weak localization of disordered quasiparticles in the mixed superconducting state
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• Broken SU(4) symmetry in a Kondo-correlated carbon nanotube
• Topological Edge States with Zero Hall Conductivity in a Dimerized Hofstadter Model
• Integrable nonunitary open quantum circuits
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• Interacting Majorana Fermions
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• Experimental Detection of the Quantum Phases of a Three-Dimensional Topological Insulator on a Spin Quantum Simulator
• Higher-order topological pumping and its observation in photonic lattices
• Topology and exceptional points of massive Dirac models with generic non-Hermitian perturbations
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• $2^n$-root weak, Chern, and higher-order topological insulators, and $2^n$-root topological semimetals
• Floquet Majorana zero and $\pi$ modes in planar Josephson junctions
• Berry connection induced anomalous wave-packet dynamics in non-Hermitian systems
• Detecting monopole charge in Weyl semimetals via quantum interference transport
• CPT theorem and classification of topological insulators and superconductors
• Phonon analogue of topological nodal semimetals
• Generalized Aubry-André-Harper model with modulated hopping and $p$-wave pairing
• Universal Entanglement Spectra of Gapped One-dimensional Field Theories
• Strong Correlation Effects on Topological Quantum Phase Transitions in Three Dimensions
• Wire constructions of Abelian topological phases in three or more dimensions
• Vicious walk with a wall, noncolliding meanders, and chiral and Bogoliubov-deGennes random matrices
• Scattering theory of chiral Majorana fermion interferometry
• Topological instabilities in ac-driven bosonic systems
• Gross-Neveu-Wilson model and correlated symmetry-protected topological phases
• Classification and symmetry properties of scaling dimensions at Anderson transitions
• Symmetry Protected Topological Metals
• Strong disorder fixed points in the two-dimensional random-bond Ising model
• Wave function statistics and multifractality at the spin quantum Hall transition
• Asymptotic Correlations in Gapped and Critical Topological Phases of 1D Quantum Systems
• Quasiclassical theory of disordered multi-channel Majorana quantum wires
• From operator statistics to wormholes
• Signatures of topological phase transitions in Josephson current-phase discontinuities
• Metal-Insulator Transition in Graphene on Boron Nitride
• Non-Hermitian Majorana modes protect degenerate steady states
• Anderson localization and topological transition in Chern insulators
• Density of states in graphene with vacancies: midgap power law and frozen multifractality
• Superconductors with Magnetic Impurities: Instantons and Sub-gap States
• Dynamical symmetries of periodically-driven quantum systems and their spectroscopic signatures
• Symmetry and topological classification of Floquet non-Hermitian systems
• Geometrically disordered network models, quenched quantum gravity, and critical behavior at quantum Hall plateau transitions
• Delicate topology protected by rotation symmetry: Crystalline Hopf insulators and beyond
• Transport through a quantum spin Hall quantum dot
• One-dimensional quantum many body systems with long-range interactions
• Wigner-Poisson statistics of topological transitions in a Josephson junction
• Transition from Quantum Chaos to Localization in Spin Chains
• Spin-valley relaxation and quantum transport regimes in two-dimensional transition metal dichalcogenides
• Symmetries of multifractal spectra and field theories of Anderson localization
• Quantization of Conductance Minimum and Index Theorem
• Coupled wire model of symmetric Majorana surfaces of topological superconductors
• Energy correlations for a random matrix model of disordered bosons
• Maximum distributions of bridges of noncolliding Brownian paths
• Snake states and their symmetries in graphene
• Disorder-induced Majorana zero modes in a dimerized Kitaev superconductor chain
• Local Topological Markers in Odd Spatial Dimensions and Their Application to Amorphous Topological Matter
• Resistance of Layered Superclean Superconductors at Low Temperatures
• Rare regions and avoided quantum criticality in disordered Weyl semimetals and superconductors
• Majorana modes in emergent-wire phases of helical and cycloidal magnet-superconductor hybrids
• Reentrant topological phase transitions in a disordered spinless superconducting wire
• Universality of delocalization in unconventional dirty superconducting wires with broken spin-rotation symmetry
• Metal-insulator transition from combined disorder and interaction effects in Hubbard-like electronic lattice models with random hopping
• Theory of optical responses in clean multi-band superconductors
• 'Tilting' the Universe with the Landscape Multiverse: The 'Dark' Flow
• Periodic Table of SYK and supersymmetric SYK
• On the Bott index of unitary matrices on a finite torus
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Boundary criticality and multifractality at the 2D spin quantum Hall transition
• Crystalline Kitaev spin liquids
• Exact Elliptic Compactons in Generalized Korteweg-DeVries Equations
• Localization of quasiparticles in a disordered vortex
• Selection rules for Cooper pairing in two-dimensional interfaces and sheets
• Domain wall in a chiral p-wave superconductor: a pathway for electrical current
• From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators
• Coherent error threshold for surface codes from Majorana delocalization
• Characterizing topological phases by quantum quenches: A general theory
• Criticality of the metal-topological insulator transition driven by disorder
• Spectral correlations of individual quantum graphs
• Is a color superconductor topological?
• Nonuniversality in quantum wires with off-diagonal disorder: a geometric point of view
• An operator-based approach to topological photonics
• Topological properties of the long-range Kitaev chain with Aubry-André-Harper modulation
• Critical statistics in quantum chaos and Calogero-Sutherland model at finite temperature
• Manipulation with Andreev states in spin active mesoscopic Josephson junctions
• Notes on topological insulators
• Existence of zero-energy impurity states in different classes of topological insulators and superconductors and their relation to topological phase transitions
• Phase-induced topological superconductivity in a planar heterostructure
• Nesting symmetries and diffusion in disordered d-wave superconductors
• Persistent current and zero-energy Majorana modes in a p-wave disordered superconducting ring
• Excitations and Quantum Fluctuations in Site Diluted Two-Dimensional Antiferromagnets
• Entanglement Spectrum Crossings Reveal non-Hermitian Dynamical Topology
• ${\mathbb{Z}}_2$ invariants of topological insulators as geometric obstructions
• Non-Hermitian topology in monitored quantum circuits
• Topological invariant for generic 1D time reversal symmetric superconductors in class DIII
• Magic-Angle Semimetals with Chiral Symmetry
• Thermodynamic classification of three-dimensional Kitaev spin liquids
• Level-statistics in Disordered Systems: A single parametric scaling and Connection to Brownian Ensembles
• Tenfold Topology of Crystals: Unified classification of crystalline topological insulators and superconductors
• Topological phase transitions in glassy quantum matter
• Non-Hermitian Stark Many-Body Localization
• Kaleidoscope of topological phases with multiple Majorana species
• Spectral flows associated to flux tubes
• Valley switch in a graphene superlattice due to pseudo-Andreev reflection
• Density of States of a d-wave Superconductor in the Presence of Strong Impurity Scatterers: a Non Perturbative Result
• Zeeman and spin-orbit effects in the Andreev spectra of nanowire junctions
• Topological and non-topological features of generalized Su-Schrieffer-Heeger models
• Majorana state on the surface of a disordered 3D topological insulator
• Symmetry-protected line nodes and Majorana flat bands in nodal crystalline superconductors
• Dephasing-enabled triplet Andreev conductance
• Bulk-boundary correspondence for disordered free-fermion topological phases
• Ab initio study of $Z_2$ topological phases in perovskite (111) $({\text{SrTiO}}_3{)}_7/({\text{SrIrO}}_3{)}_2$ and $({\text{KTaO}}_3{)}_7/({\text{KPtO}}_3{)}_2$ multilayers
• Products of Independent Gaussian Random Matrices
• Intravalley spin-polarized superconductivity in rhombohedral tetralayer graphene
• Topological Classification Table Implemented with Classical Passive Meta-Materials
• Noncolliding Squared Bessel Processes
• High-throughput Investigations of Topological and Nodal Superconductors
• Chern insulators for electromagnetic waves in electrical circuit networks
• Squaring the fermion: The threefold way and the fate of zero modes
• Density of states in a two-dimensional chiral metal with vacancies
• Random matrix models with log-singular level confinement: method of fictitious fermions
• Square-root topological phase with time-reversal and particle-hole symmetry
• Anomalous Nernst effect in type-II Weyl semimetals
• Surface electronic state of superconducting topological crystalline insulator
• Hermitian and Non-Hermitian Topology from Photon-Mediated Interactions
• Topological superfluids on a lattice with non-Abelian gauge fields
• Superconducting ``metals'' and ``insulators''
• From one-dimensional charge conserving superconductors to the gapless Haldane phase
• Current transport properties and phase diagram of a Kitaev chain with long-range pairing
• The solution of a chiral random matrix model with complex eigenvalues
• Classical Spin Spirals in Frustrated Magnets from Free-Fermion Band Topology
• Exact S-matrices for supersymmetric sigma models and the Potts model
• The 4-loop beta-function in the 2D Non-Abelian Thirring model, and comparison with its conjectured "exact" form
• Quantum criticality and universality in the $p$-wave paired Aubry-André-Harper model
• Topological Insulators and Quantum Spin Liquids
• Supersymmetric Vacua in Random Supergravity
• Unification of bosonic and fermionic theories of spin liquids on the kagome lattice
• Topological Nonsymmorphic Crystalline Superconductors
• Universal platform of point-gap topological phases from topological materials
• Interaction effects on the classification of crystalline topological insulators and superconductors
• Non-Abelian Majorana modes protected by an emergent second Chern number
• Intrinsic first and higher-order topological superconductivity in a doped topological insulator
• Symmetry indicator in non-Hermitian systems
• Delocalization Transition of Disordered Axion Insulator
• Synthetic Weyl Points and Chiral Anomaly in Majorana Devices with Nonstandard Andreev-Bound-State Spectra
• A JT supergravity as a double-cut matrix model
• Topological superconductors as nonrelativistic limits of Jackiw-Rossi and Jackiw-Rebbi models
• Quadratic pseudospectrum for identifying localized states
• Can deeply underdoped superconducting cuprates be topological superconductors?
• The fate of interaction-driven topological insulators under disorder
• Orbit measures, random matrix theory and interlaced determinantal processes
• Singular-Value Statistics of Non-Hermitian Random Matrices and Open Quantum Systems
• Why the Universe Started from a Low Entropy State
• Spectral decoupling in many-body quantum chaos
• Topological invariants, zero mode edge states and finite size effect for a generalized non-reciprocal Su-Schrieffer-Heeger model
• Edge States: Topological Insulators, Superconductors and QCD Chiral Bags
• Recovery of massless Dirac fermions at charge neutrality in strongly interacting twisted bilayer graphene with disorder
• Lieb-Schultz-Mattis theorems for symmetry protected topological phases
• Multifractality at the spin quantum Hall transition
• Edge and bulk localization of Floquet topological superconductors
• Disorder in Andreev reflection of a quantum Hall edge
• The classification of surface states of topological insulators and superconductors with magnetic point group symmetry
• No-go theorem for a time-reversal invariant topological phase in noninteracting systems coupled to conventional superconductors
• Mechanism, time-reversal symmetry and topology of superconductivity in noncentrosymmetric systems
• Topological Insulators and Superconductors from String Theory
• Temperature enhancement of thermal Hall conductance quantization
• Flat Topological Bands and Eigenstate Criticality in a Quasiperiodic Insulator
• Quantum metric of non-Hermitian Su-Schrieffer-Heeger systems
• Designing 3D topological insulators by 2D-Xene (X = Ge, Sn) sheet functionalization in the GaGeTe-type structures
• Time-reversal symmetric Kitaev model and topological superconductor in two dimensions
• Majorana fermions on a disordered triangular lattice
• Skeleton of Matrix-Product-State-Solvable Models Connecting Topological Phases of Matter
• Analogies between random matrix ensembles and the one-component plasma in two-dimensions
• Classification of crystalline insulators without symmetry indicators: atomic and fragile topological phases in twofold rotation symmetric systems
• Phase-dependent Andreev molecules and superconducting gap closing in coherently coupled Josephson junctions
• Finite Size Scaling Analysis of the Anderson Transition
• Transition from metal to higher-order topological insulator driven by random flux
• Floquet Non-Abelian Topological Insulator and Multifold Bulk-Edge Correspondence
• Infinite systems of non-colliding generalized meanders and Riemann-Liouville differintegrals
• Transition from topological to chaos in the nonlinear Su-Schrieffer-Heeger model
• X-shaped and Y-shaped Andreev resonance profiles in a superconducting quantum dot
• Relationship between Symmetry Protected Topological Phases and Boundary Conformal Field Theories via the Entanglement Spectrum
• Signatures and conditions for phase band crossings in periodically driven integrable systems
• Measurement-induced transitions for interacting fermions
• Multiband s-wave topological superconductors: role of dimensionality and magnetic field response
• Generalized Spectral Form Factors and the Statistics of Heavy Operators
• Exact treatment of magnetism-driven ferroelectricity in the one-dimensional compass model
• Two Bessel Bridges Conditioned Never to Collide, Double Dirichlet Series, and Jacobi Theta Function
• Bimodal conductance distribution of Kitaev edge modes in topological superconductors
• Spin-orbit coupling and topological phases for ultracold atoms
• Full proximity treatment of topological superconductors in Josephson-junction architectures
• Network models for localisation problems belonging to the chiral symmetry classes
• Double-frequency Aharonov-Bohm effect and non-Abelian braiding properties of Jackiw-Rebbi zero-mode
• Topological features of ground states and topological solitons in generalized Su-Schrieffer-Heeger models using generalized time-reversal, particle-hole, and chiral symmetries
• Exploring interacting topological insulator of extended Su-Schrieffer-Heeger model
• Realizing and detecting a topological insulator in the AIII symmetry class
• Interaction effects on 2D fermions with random hopping
• Topological stability of Majorana zero-modes in superconductor-topological insulator systems
• Stability of surface states of weak ${\mathbb{Z}}_2$ topological insulators and superconductors
• Relating the entanglement spectrum of noninteracting band insulators to their quantum geometry and topology
• Random-matrix theory of thermal conduction in superconducting quantum dots
• Level statistics of real eigenvalues in non-Hermitian systems
• Long-range hopping and indexing assumption in one-dimensional topological insulators
• Bott periodicity for the topological classification of gapped states of matter with reflection symmetry
• Topological entanglement properties of disconnected partitions in the Su-Schrieffer-Heeger model
• Topological Superconductivity Induced by Magnetic Texture Crystals
• Extended topological group structure due to average reflection symmetry
• Disordered Weyl semimetals and their topological family
• Topological Crystalline Phases in a Disordered Inversion-Symmetric Chain
• Complete homotopy invariants for translation invariant symmetric quantum walks on a chain
• Criticality of two-dimensional disordered Dirac fermions in the unitary class and universality of the integer quantum Hall transition
• Electrical detection of topological quantum phase transitions in disordered Majorana nanowires
• Topological continuum charges of acoustic phonons in 2D
• Topology of multipartite non-Hermitian one-dimensional systems
• Wannier functions and Z_2 invariants in time-reversal symmetric topological insulators
• Quantum dynamical characterization and simulation of topological phases with high-order band inversion surfaces
• Zeeman-field-induced nontrivial topological phases in a one-dimensional spin-orbit-coupled dimerized lattice
• Correlation effects on topological crystalline insulators
• Topological enhancement of non-normality in non-Hermitian skin effects
• Thermal metal-insulator transition in a helical topological superconductor
• Lindblad equation approach to the optimal working point in nonequilibrium stationary states of an interacting electronic one-dimensional system: Application to the spinless Hubbard chain in the clean and in the weakly disordered limit
• Interaction-driven topological superconductivity in one dimension
• Classifying Quantum Phases With The Torus Trick
• Tunable proximity effects and topological superconductivity in ferromagnetic hybrid nanowires
• Finite-temperature topological invariant for interacting systems
• Antiferromagnetic topological insulators in cold atomic gases
• Long-range Kitaev Chains via Planar Josephson Junctions
• Classification of dynamical Lie algebras for translation-invariant 2-local spin systems in one dimension
• Spectral Statistics in Chiral-Orthogonal Disordered Systems
• Phase Diagrams of Three-Dimensional Anderson and Quantum Percolation Models using Deep Three-Dimensional Convolutional Neural Network
• Symmetry-resolved entanglement entropy in critical free-fermion chains
• Quench dynamics of fermion-parity switches in a Josephson junction
• Multifractal nature of the surface local density of states in three-dimensional topological insulators with magnetic and nonmagnetic disorder
• Statistics of reflection eigenvalues in chaotic cavities with non-ideal leads
• Topological Random Fractals
• Counting Majorana zero modes in superconductors
• Response theory of the ergodic many-body delocalized phase: Keldysh Finkel'stein sigma models and the 10-fold way
• Crystalline Quantum Circuits
• Interaction Enabled Topological Crystalline Phases
• Are Bosonic Replicas Faulty?
• Noncrystalline topological superconductors
• The fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model
• Seeing bulk topological properties of band insulators in small photonic lattices
• Random Walks and Anderson Localisation in a Three-Dimensional Class C Network Model
• Conductance through disordered graphene nanoribbons: Standard and anomalous electron localization
• Three-dimensional topological phases in a layered honeycomb spin-orbital model
• Stability of flat-band edge states in topological superconductors without inversion center
• Systematic Construction of tight-binding Hamiltonians for Topological Insulators and Superconductors
• Confinement and Fermion Doubling Problem in Dirac-like Hamiltonians
• Two dimensional metallic phases from disordered QED${}_3$
• Relaxation to a Parity-Time Symmetric Generalized Gibbs Ensemble after a Quantum Quench in a Driven-Dissipative Kitaev Chain
• Universality classes of the Anderson transition in three-dimensional symmetry classes AIII, BDI, C, D and CI
• Dissipative analog of four-dimensional quantum Hall physics
• Nodal Andreev Spectra in Multi-Majorana Three-Terminal Josephson Junctions
• Disorder-driven transition in a chain with power-law hopping
• Scrambling and decoding the charged quantum information
• Classification of massive and gapless phases in bilayer graphene
• Holographic fractional topological insulators in 2+1 and 1+1 dimensions
• Magnetic-Field-Induced Topological Reorganization of a P-wave Superconductor
• Uhlmann number in translational invariant systems
• Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian
• Methods for detecting charge fractionalization and winding numbers in an interacting fermionic ladder
• Theory of inversion-${\mathbb{Z}}_4$ protected topological chiral hinge states and its applications to layered antiferromagnets
• Topological Mechanics from Supersymmetry
• Appearance of hinge states in second-order topological insulators via the cutting procedure
• Quasi-Spin-Charge Separation and the Spin Quantum Hall Effect
• Borel theorems for random matrices from the classical compact symmetric spaces
• Supersymmetry in the nonsupersymmetric Sachdev-Ye-Kitaev model
• One-dimensional topological metal
• Strongly Disordered Floquet Topological Systems
• Unification of topological invariants in Dirac models
• Gauge freedom in observables and Landsbergs nonadiabatic geometric phase: pumping spectroscopy of interacting open quantum systems
• Integrable random matrix ensembles
• Edge insulating topological phases in a two-dimensional long-range superconductor
• A brief review of hybrid skin-topological effect
• Surface codes, quantum circuits, and entanglement phases
• Symmetries as the guiding principle for flattening bands of Dirac fermions
• Topological invariants for the Haldane phase of interacting SSH chains -- a functional RG approach
• Systematic Quantum Cluster Typical Medium Method For the Study of Localization in Strongly Disordered Electronic Systems
• The hybrid-order topology of weak topological insulators
• Signatures of topology in quantum quench dynamics and their interrelation
• Solitons in one-dimensional lattices with a flat band
• Lifetime statistics in chaotic dielectric microresonators
• Chaos and random matrices in supersymmetric SYK
• Localization counteracts decoherence in noisy Floquet topological chains
• The tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model
• Correlators for the Wigner-Smith time-delay matrix of chaotic cavities
• Topological superconductivity in a multichannel Yu-Shiba-Rusinov chain
• Fast quantum transfer mediated by topological domain walls
• Topological classification of Higher-order topological phases with nested band inversion surfaces
• Chiral Majorana edge states in HgTe quantum wells
• The theory of avoided criticality in quantum motion in a random potential in high dimensions
• Topological Anderson insulators in an Ammann-Beenker quasicrystal and a snub-square crystal
• Localization from sigma-model geodesics
• Three-phase Majorana zero modes at tiny magnetic fields
• Topological spin ordering via Chern-Simons superconductivity
• Rapid Exploration of Topological Band Structures using Deep Learning
• Few-mode geometric description of a driven-dissipative phase transition in an open quantum system
• Disordered d-wave superconductors with interactions
• The Krein-Schrödinger Formalism of Bosonic BdG and Certain Classical Systems and Their Topological Classification
• First-Order Topological Quantum Phase Transition in a Strongly Correlated Ladder
• GSE statistics without spin
• Coherent multiple scattering of out-of-equilibrium interacting Bose gases
• Induced superconductivity in Fermi arcs
• Breaking and resurgence of symmetry in the non-Hermitian Su-Schrieffer-Heeger model in photonic waveguides
• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Matrix product states for Hartree-Fock-Bogoliubov wave functions
• A microwave realization of the chiral orthogonal, unitary, and symplectic ensembles
• Localization and critical diffusion of quantum dipoles in two dimensions
• Glide-symmetric magnetic topological crystalline insulators with inversion symmetry
• Elementary band representations for the single-particle Green's function of interacting topological insulators
• Nodal-line semimetals from Weyl superlattices
• Universal Finite-Size Scaling around Topological Quantum Phase Transitions
• A classification of magnetic frustration and metamaterials from topology
• Observation of a topological edge state stabilized by dissipation
• Entanglement Chern number for an extensive partition of a topological ground state
• Universal Spin Hall Conductance Fluctuations in Chaotic Dirac Quantum Dots
• Eigenvalue Measurement of Topologically Protected Edge states in Split-Step Quantum Walks
• Non-Hermitian Topology in Hermitian Topological Matter
• Application of Convolutional Neural Network to Quantum Percolation in Topological Insulators
• Cosmological Avatars of the Landscape I: Bracketing the SUSY Breaking Scale
• Quantum phase transition in the spin-anisotropic quantum spherical model
• Progress in superconductor-semiconductor topological Josephson junctions
• Superuniversality of topological quantum phase transition and global phase diagram of dirty topological systems in three dimensions
• Universal fidelity near quantum and topological phase transitions in finite 1D systems
• Quantum phases of disordered three-dimensional Majorana-Weyl fermions
• Interacting random Dirac fermions in superconducting cuprates
• Singular Density of States of Disordered Dirac Fermions in the Chiral Models
• Topological phases in odd-legs frustrated synthetic ladders
• Probing topology in nonlinear topological materials using numerical $K$-theory
• Phase diagram and critical exponents of a Potts gauge glass
• Magnetoelectrically-Tunable Andreev-Bound-State Spectra and Spin Polarization in P-Wave Josephson Junctions
• Signatures of time-reversal-invariant topological superconductivity in the Josephson effect
• Manipulating Majorana fermions in one-dimensional spin-orbit coupled atomic Fermi gases
• Topological phase transitions driven by non-Abelian gauge potentials in optical square lattices
• Topological pumping in class-D superconducting wires
• K-Theory for Real C*-algebras via Unitary Elements with Symmetries
• Lévy flights due to anisotropic disorder in graphene
• Spectral Form Factor of a Quantum Spin Glass
• Universal topological quench dynamics: Altland-Zirnbauer tenfold classes
• Dimensional crossover of transport characteristics in topological insulator nanofilms
• Emergent non-Hermitian models
• Random matrix theory of quantum transport in chaotic cavities with non-ideal leads
• Hidden-symmetry-protected topological phases on a one-dimensional lattice
• $Z_4$ parafermion $\pm \pi /2$ modes in interacting periodically driven superconducting chain
• Emergent vortex Majorana zero mode in iron-based superconductors
• Topological properties of a class of Su-Schrieffer-Heeger variants
• Novel ${\mathbb{Z}}_2$-topological metals and semimetals
• Recursion for the smallest eigenvalue density of $\beta$-Wishart-Laguerre ensemble
• Exotic Topological Types of Majorana Zero-modes and Their Universal Quantum Manipulation
• Disorder-induced topological transitions in multichannel Majorana wires
• Engineering Floquet topological phases using elliptically polarized light
• Interacting second-order topological insulators in one-dimensional fermions with correlated hopping
• Jordan-Wigner transformations for tree structures
• Unveiling Signatures of Topological Phases in Open Kitaev Chains and Ladders
• Topological invariants for phase transition points of one-dimensional ${\mathbb{Z}}_2$ topological systems
• Universality for orthogonal and symplectic Laguerre-type ensembles
• Non-Abelian monopoles in the multiterminal Josephson effect
• Exactly Solvable Topological Chiral Spin Liquid with Random Exchange
• On phase transitions in two-dimensional disordered systems
• Corner states, hinge states and Majorana modes in SnTe nanowires
• Nonlinear $\sigma$ model for disordered superconductors
• Measuring Bulk Flow of Galaxy Clusters using Kinematic Sunyaev-Zel'dovich effect: Prediction for Planck
• Chern number and Berry curvature for Gaussian mixed states of fermions
• Noncolliding processes, matrix-valued processes and determinantal processes
• Chern-Simons matrix models, two-dimensional Yang-Mills theory and the Sutherland model
• Topological gaps without masses in driven graphene-like systems
• Symmetry-Preserving Quadratic Lindbladian and Dissipation Driven Topological Transitions in Gaussian States
• Time-delay matrix, midgap spectral peak, and thermopower of an Andreev billiard
• The Riemann zeros as energy levels of a Dirac fermion in a potential built from the prime numbers in Rindler spacetime
• Topology of the planar phase of superfluid ${}^3$He and bulk-boundary correspondence for three dimensional topological superconductors
• Topological superfluidity of lattice fermions inside a Bose-Einstein condensate
• Topological insulating phases from two-dimensional nodal loop semimetals
• The statistical mechanics of near-BPS black holes
• Topological Gapless Phases in Non-Symmorphic Antiferromagnets
• Space group constraints on weak indices in topological insulators
• Bulk-boundary correspondence and singularity-filling in long-range free-fermion chains
• Engineering of topological phases in driven thin topological insulator: Structure inversion asymmetry effect
• Generalized Connes-Chern characters in KK-theory with an application to weak invariants of topological insulators
• Entanglement properties of the time periodic Kitaev Chain
• Resilience of Majorana Fermions in the face of Disorder
• Exact Density of States for finite Gaussian Random Matrix Ensembles via Supersymmetry
• Realizing Topological Superconductivity with Superlattices
• Compactly Supported Wannier Functions and Strictly Local Projectors
• Majorana bound states in a superconducting Rashba nanowire in the presence of antiferromagnetic order
• Majorana fermion fingerprints in spin-polarised scanning tunneling microscopy
• Atomic line defects and topological superconductivity in unconventional superconductors
• Fate of topological states and mobility edges in one-dimensional slowly varying incommensurate potentials
• Quantum Hall transitions: An exact theory based on conformal restriction
• Anderson localization from the replica formalism
• JT supergravity and Brezin-Gross-Witten tau-function
• Extended Creutz ladder with spin-orbit coupling: a one-dimensional analog of the Kane-Mele model
• Topological superconductivity in Dirac honeycomb systems
• Unified Topological Response Theory for Gapped and Gapless Free Fermions
• Anisotropic Topological Anderson Transitions in Chiral Symmetry Classes
• Double Majorana vortex zero modes in superconducting topological crystalline insulators with surface rotation anomaly
• Quantum criticality in the disordered Aubry-André model
• Andreev Conductance of Chaotic and Integrable Quantum Dots
• Quantum anomalous Hall insulator in ionic Rashba lattice of correlated electrons
• Edge mode manipulation through commensurate multifrequency driving
• A Dirac fermion model associated with second order topological insulator
• Interacting Symmetry-Protected Topological Phases Out of Equilibrium
• Engineered Open Systems and Quantum Simulations with Atoms and Ions
• Phase transitions and scale invariance in topological Anderson insulators
• A scattering matrix formulation of the topological index of interacting fermions in one-dimensional superconductors
• Operator growth in random quantum circuits with symmetry
• Signatures of dephasing by mirror-symmetry breaking in weak-antilocalization magnetoresistance across the topological transition in Pb${}_{1-x}$Sn${}_x$Se
• Topological Insulator in an Atomic Liquid
• Time-reversal invariant topological superfluids in Bose-Fermi mixtures
• Thermally induced metallic phase in a gapped quantum spin liquid - a Monte Carlo study of the Kitaev model with parity projection
• Three-fold way of entanglement dynamics in monitored quantum circuits
• Topological properties of a generalized spin-orbit-coupled Su-Schrieffer-Heeger model
• Vison crystals, chiral and crystalline phases in the Yao-Lee model
• Correlation functions of the BC Calogero-Sutherland model
• Anderson transition in systems with chiral symmetry
• New universality classes of the non-Hermitian Dirac operator in QCD-like theories
• Effect of chiral symmetry on chaotic scattering from Majorana zero modes
• A topological quantum pump in serpentine-shaped semiconducting narrow channels
• Density of states at disorder-induced phase transitions in a multichannel Majorana wire
• Dirac Spectra of 2-dimensional QCD-like theories
• Anderson Transitions: Criticality, Symmetries, and Topologies
• Topological Kondo insulators in one dimension: Continuous Haldane-type ground-state evolution from the strongly-interacting to the non-interacting limit
• Network Models in Class C on Arbitrary Graphs
• Dynamical generation of Majorana edge correlations in a ramped Kitaev chain coupled to nonthermal dissipative channels
• Transport moments and Andreev billiards with tunnel barriers
• Majorana zero modes induced by superconducting phase bias
• Topological Yu-Shiba-Rusinov chain in monolayer transition-metal dichalcogenide superconductors
• Majorana zero modes bound to a vortex line in a topological superconductor
• Anderson localization from classical trajectories
• Krylov space approach to Singular Value Decomposition in non-Hermitian systems
• Nonlinear Landauer formula: Nonlinear response theory of disordered and topological materials
• Composite Spin Liquid in Correlated Topological Insulator - Spin Liquid without Spin-Charge Separation
• Universal finite-size amplitude and anomalous entanglement entropy of $z=2$ quantum Lifshitz criticalities in topological chains
• Quantum Network Models and Classical Localization Problems
• The Schrödinger Formalism of Electromagnetism and Other Classical Waves --- How to Make Quantum-Wave Analogies Rigorous
• Topological spin-plasma waves
• T-duality in supersymmetric theory of disordered quantum systems
• Topological edge states in the Su-Schrieffer-Heeger model subject to balanced particle gain and loss
• Local marker for interacting topological insulators
• Quasiperiodicity and 2D Topology in 1D Charge Ordered Materials
• Topological characterization of one-dimensional open fermionic systems
• Universal spectral statistics in Wigner-Dyson, chiral and Andreev star graphs I: construction and numerical results
• Dynamical Correlations for Vicious Random Walk with a Wall
• Topological Solitons in Su-Schrieffer-Heeger Chain with periodic hopping modulation, domain walls and disorder
• Interface and Phase Transition between Moore-Read and Halperin 331 Fractional Quantum Hall States: Realization of Chiral Majorana Fermion
• Propagation of collective pair excitations in disordered Bose superfluids
• Effects of Defects and Dephasing on Charge and Spin Currents in Two-Dimensional Topological Insulators
• On the Role of Symmetries in the Theory of Photonic Crystals
• Probabilistic Q-function distributions in fermionic phase-space
• Plateaux Transitions in the Pairing Model:Topology and Selection Rule
• Temporal variation in the winding number due to dynamical symmetry breaking and associated transport in a driven SSH chain
• Variational study of the interacting spinless Su-Schrieffer-Heeger model
• Signatures of Majorana Fermions in Topological Insulator Josephson Junction Devices
• Spacing distribution in the 2D Coulomb gas: Surmise and symmetry classes of non-Hermitian random matrices at non-integer $\beta$
• Chiral Flow in One-dimensional Floquet Topological Insulators
• Catalog of noninteracting tight-binding models with two energy bands in one dimension
• Haldane phase in one-dimensional topological Kondo insulators
• Vortex Lattice Structure and Topological Superconductivity in the Quantum Hall Regime
• Self-consistent-field ensembles of disordered Hamiltonians: Efficient solver and application to superconducting films
• Quantum walks: Schur functions meet symmetry protected topological phases
• Extension of Noether's theorem in PT-symmetric systems and its experimental demonstration in an optical setup
• Level statistics inside the core of a superconductive vortex
• Topological insulation in a ladder model with particle-hole and reflection symmetries
• Proposal for simulating quantum spin models with the Dzyaloshinskii-Moriya interaction using Rydberg atoms and the construction of asymptotic quantum many-body scar states
• Novel topological insulators from crystalline symmetries
• Synthesizing Majorana zero-energy modes in a periodically gated quantum wire
• Field theory of non-Hermitian disordered systems
• Vortex Density of States and Absorption in Clean Layered Superconductors
• Global phase diagram of two-dimensional Dirac fermions in random potentials
• Pairing symmetry and vortex zero-mode for superconducting Dirac fermions
• Topological Surface States in Paramagnetic and Antiferromagnetic Iron Pnictides
• Topological Mott insulator in the odd-integer filled Anderson lattice model with Hatsugai-Kohmoto interactions
• Search for localized Wannier functions of topological band structures via compressed sensing
• Spectral statistics of a minimal quantum glass model
• Re-entrant magic-angle phenomena in twisted bilayer graphene in integer magnetic fluxes
• Spectral analysis, chiral disorder and topological edge states manifestation in open non-Hermitian Su-Schrieffer-Heeger chains
• Theory of Topological Superconductivity and Antiferromagnetic Correlated Insulators in Twisted Bilayer WSe${}_2$
• Phase-locked magnetoconductance oscillations as a probe of Majorana edge states
• Valley isospin of interface states in a graphene $pn$ junction in the quantum Hall regime
• Lattice scars: Surviving in an open discrete billiard
• Majorana fermions in finite-size strips with in-plane magnetic fields
• Spinon pairing induced by chiral in-plane exchange and the stabilization of odd-spin Chern number spin liquid in twisted ${\mathrm{MoTe}}_2$
• Defect-Induced Low-Energy Majorana Excitations in the Kitaev Magnet $\alpha$-RuCl${}_3$
• Real Hopf Insulator
• Topological Classification of Excitations in Quadratic Bosonic Systems
• Anomalous Hall metals from strong disorder in class A systems on partite lattices
• Helical Majorana surface states of strongly disordered topological superconductors with time-reversal symmetry
• Interaction induced fractionalization and topological superconductivity in the polar molecules anisotropic $t-J$ model
• Topological phase transitions in the 1D multichannel Dirac equation with random mass and a random matrix model
• Self-Shielded Topological Receiver Protectors
• $Q$-Laguerre spectral density and quantum chaos in the Wishart-Sachdev-Ye-Kitaev model
• A topological classification of interaction-driven spin pumps
• Critical Behaviors of Anderson Transitions in Three Dimensional Orthogonal Classes with Particle-hole Symmetries
• Multicriticality of Two-dimensional Class D Disordered Topological Superconductors
• An Exact Solution for Spin and Charge Correlations in Quantum Dots: The Effect of Level Fluctuations and Zeeman Splitting
• Three-Dimensional Fractional Topological Insulators in Coupled Rashba Layers
• Nonlocal transport mediated by nonlocal Hikami boxes: Condensation of evanescent quasiparticles injected into the superconducting gap
• Structural disorder-induced topological phase transitions in quasicrystals
• Dynamical preparation of a topological state and out of equilibrium bulk boundary correspondence in a SSH chain under periodic driving
• Dislocation Majorana zero modes in perovskite oxide 2DEG
• Dynamic bulk-boundary correspondence for anomalous Floquet topology
• Local formula for the $Z_2$ invariant of topological insulators
• Helical Majorana edge mode in a superconducting antiferromagnetic quantum spin Hall insulator
• Unconventional Floquet topological phases from quantum engineering of band inversion surfaces
• Z${}_2$ index theorem for Majorana zero modes in a class D topological superconductor
• Hilbert-space geometry of random-matrix eigenstates
• Self-consistent study of Abelian and non-Abelian order in a two-dimensional topological superconductor
• Thermodynamics of 3D Kitaev quantum spin liquids via tensor networks
• Distribution of the local density of states, reflection coefficient and Wigner delay time in absorbing ergodic systems at the point of chiral symmetry
• The Spectra of Type IIB Flux Compactifications at Large Complex Structure
• Topology in time-reversal symmetric crystals
• Spectral and steady-state properties of fermionic random quadratic Liouvillians
• Signatures of Majorana Kramers pairs in superconductor-Luttinger liquid and superconductor-quantum dot-normal lead junctions
• Majorana edge magnetization in the Kitaev honeycomb model
• Flat Band Induced Metal-Insulator Transitions for Weak Magnetic Flux and Spin-Orbit Disorder
• Late Time Quantum Chaos of pure states in the SYK model
• Tail States in Disordered Superconductors with Magnetic Impurities: the Unitarity Limit
• Experimental test of the Rosenzweig-Porter model for the transition from Poisson to Gaussian unitary ensemble statistics
• Tridiagonal realization of the anti-symmetric Gaussian $\beta$-ensemble
• Piercing the rainbow: entanglement on an inhomogeneous spin chain with a defect
• Bosonization of the interacting Su-Schrieffer-Heeger model
• Anatomy of topological Anderson transitions
• Strong Coupling Fixed Points of Current Interactions and Disordered Fermions in 2D
• Effective Light Dynamics in Perturbed Photonic Crystals
• Conductance fluctuations in mesoscopic normal-metal/superconductor samples
• Equivalence of Topological Insulators and Superconductors
• Scattering theory of topological invariants in nodal superconductors
• Topological nature of step edge states on the surface of topological crystalline insulator Pb${}_{0.7}$Sn${}_{0.3}$Se
• On The Structure Of The Chan-Paton Factors For D-Branes In Type II Orientifolds
• Dirac fermions in a power-law-correlated random vector potential
• High-resolution real-space evaluation of the self-energy operator of disordered lattices: Gade singularity, spin-orbit effects and p-wave superconductivity
• Large deviations for random matrix ensembles in mesoscopic physics
• Symmetry protected weak topological phases in a superlattice
• Higher-order topological semimetals and nodal superconductors with an order-two crystalline symmetry
• $Z_2$ index for gapless fermionic modes in the vortex core of three dimensional paired Dirac fermions
• Effects of geometric frustration in Kitaev chains
• Quantum integrability of sigma models on AII and CII symmetric spaces
• Topological Modes in One Dimensional Solids and Photonic Crystals
• Magnetic response of Majorana Kramers pairs with an order-two symmetry
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Generalization of the Poisson kernel to the superconducting random-matrix ensembles
• Approximation formula for complex spacing ratios in the Ginibre ensemble
• One-dimensional non-interacting topological insulators with chiral symmetry
• Characterizations of topological superconductors: Chern numbers, edge states and Majorana zero modes
• Griffiths phase in the thermal quantum Hall effect
• Finite temperature geometric properties of the Kitaev honeycomb model
• Bogoliubov-de Gennes Soliton Dynamics in Unconventional Fermi Superfluids
• Quantum chaos for nonstandard symmetry classes in the Feingold-Peres model of coupled tops
• Exact exponents for the spin quantum Hall transition in the presence of multiple edge channels
• Supersymmetric Virasoro Minimal Strings
• Topological Devil's staircase in atomic two-leg ladders
• Topological phase transition between non-high symmetry critical phases and curvature function renormalization group
• Stability of entanglement-spectrum crossing in quench dynamics of one dimensional gapped free-fermion systems
• Universal spectral statistics of Andreev billiards: semiclassical approach
• Topological superconducting phases and Josephson effect in curved time-reversal-invariant superconductors
• Nonlocal conductance reveals helical superconductors
• Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes
• Magnetic manipulation of topological states in p-wave superconductors
• A simple approach to characterizing band topology in bosonic pairing Hamiltonians
• Cataloging topological phases of $N$-stacked Su-Schrieffer-Heeger chains by a systematic breaking of symmetries
• Signature of Phase Transitions in the Disordered Quantum Spin Hall State From the Entanglement Spectrum
• Universal critical exponent in class D superconductors
• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
• Long range disorder and Anderson transition in systems with chiral symmetry
• Nonclassical Degrees of Freedom in the Riemann Hamiltonian
• Random matrix ensembles with column/row constraints: part I
• Quasiperiodicity hinders ergodic Floquet eigenstates
• Shift of Symmetries of Naive Fermions in QCD-like Lattice Theories
• Generalized Real-space Chern Number Formula and Entanglement Hamiltonian
• Strange correlators for topological quantum systems from bulk-boundary correspondence
• Probing Bulk Band Topology from Time Boundary Effect in Synthetic Dimension
• The KO-valued spectral flow for skew-adjoint Fredholm operators
• Large N (=3) Neutrinos and Random Matrix Theory
• A Solvable Model of Flat Space Holography
• Phase diagram of superconductivity in the integer quantum Hall regime
• Perfect transmission and Aharanov-Bohm oscillations in topological insulator nanowires with nonuniform cross section
• Phase space methods for Majorana fermions
• Real-space topological localizer index to fully characterize the dislocation skin effect
• Higher-order Skin Effect through a Hermitian-non-Hermitian Correspondence and Its Observation in an Acoustic Kagome Lattice
• Classification and surface anomaly of glide symmetry protected topological phases in three dimensions
• Haldane Model at finite temperature
• Generalized multifractality at metal-insulator transitions and in metallic phases of 2D disordered systems
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• Random hopping fermions on bipartite lattices: Density of states, inverse participation ratios, and their correlations in a strong disorder regime
• Tailoring phase transition from topological superconductor to trivial superconductor induced by magnetic textures of a spin-chain on a $p$-wave superconductor
• Bulk-edge correspondence with generalized chiral symmetry
• Lyapunov spectra for all symmetry classes of quasi-one-dimensional disordered systems of non-interacting Fermions
• Floquet topological phase transitions in a kicked Haldane-Chern insulator
• Classification of the quantum chaos in colored Sachdev-Ye-Kitaev models
• Generalized multifractality at spin quantum Hall transition
• Majorana orthogonal transformation and Majorana zero modes in free fermionic systems
• Symmetry protected phases in inhomogeneous spin chains
• Quantization of topological indices in critical chains at low temperatures
• Temperature-driven gapless topological insulator
• Low-temperature entropy in JT gravity
• Engineering Topological Phases Guided by Statistical and Machine Learning Methods
• A Matrix Model for Flat Space Quantum Gravity
• Topological Polarization in Graphene-like Systems
• Generalization of Chiral Symmetry for Tilted Dirac Cones
• Staggered repulsion of transmission eigenvalues in symmetric open mesoscopic systems
• Quantum site percolation on triangular lattice and the integer quantum Hall effect
• Effect of thermal fluctuations in topological p-wave superconductors
• Topological phases of an interacting Majorana Benalcazar-Bernevig-Hughes model
• Weak chaos and mixed dynamics in the string S-matrix
• Quantum entanglement of fermionic symmetry-enriched quantum critical points in one dimension
• Phase diagram of the disordered Kitaev chain with long range pairing connected to external baths
• Stark localization near Aubry-André criticality
• Topological effect on the Anderson transition in chiral symmetry classes
• Homotopic classification of band structures: Stable, fragile, delicate, and stable representation-protected topology
• Quantum quenches in driven-dissipative quadratic fermionic systems with parity-time symmetry
• Kibble-Zurek scaling in one-dimensional localization transitions
• Free-fermion Page Curve: Canonical Typicality and Dynamical Emergence
• Topological symplectic Kondo effect
• Deformations of JT Gravity via Topological Gravity and Applications
• Anomaly indicators and bulk-boundary correspondences for 3D interacting topological crystalline phases with mirror and continuous symmetries
• Dynamical Signatures of Chaos to Integrability Crossover in $2\times 2$ Generalized Random Matrix Ensembles
• Squeezing-induced Topological Gap Opening on Bosonic Bogoliubov Excitations
• Network model for higher-order topological phases
• Trapping Majorana Zero Modes in Vortices of Magnetic Texture Crystals Coupled to Nodal Superconductors
• Glide Symmetry Protected Higher-Order Topological Insulators from Semimetals with butterfly-like Nodal Lines
• Non-local order parameters for states with topological electromagnetic response
• Time-reversal-invariant topological superconductivity
• Statistical Description of Transport in Multimode Fibers with Mode-Dependent Loss
• On the K-theoretic classification of dynamically stable systems
• Bulk-edge correspondence and the cobordism invariance of the index
• Gapless helical superconductivity on the surface of a three-dimensional topological insulator
• Topological aspects of $\pi$ phase winding junctions in superconducting wires
• Pizzetti formulae for Stiefel manifolds and applications
• Quantum phase transitions of topological insulators without gap closing
• Symmetry-protected topological invariant and Majorana impurity states in time-reversal-invariant superconductors
• Localization for random block operators
• Localization-delocalization transition of disordered d-wave superconductors in class CI
• Correlated random band matrices: localization-delocalization transitions
• Disorder effects on thermal transport on the surface of topological superconductors by the self-consistent Born approximation
• The non-commutative topology of two-dimensional dirty superconductors
• Eigenfunction statistics of Laguerre Brownian ensemble
• Topology of 2D Dirac operators with variable mass and an application to shallow-water waves
• Discrete symmetries of low-dimensional Dirac models: A selective review with a focus on condensed-matter realisations
• Topological properties of a periodically driven Creutz ladder
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• Anomalous criticality in the quantum Hall transition at $n=0$ Landau level of graphene with chiral-symmetric disorders
• Coupled Wire Models of Interacting Dirac Nodal Superconductors
• Symmetry Transition Preserving Chirality in QCD: A Versatile Random Matrix Model
• Lattice realization of the generalized chiral symmetry in two dimensions
• Calculating the polarization in bi-partite lattice models: application to an extended Su-Schrieffer-Heeger model
• Additive Matrix Convolutions of Pólya Ensembles and Polynomial Ensembles
• Odd-Parity Spin-Triplet Superconductivity in Centrosymmetric Antiferromagnetic Metals
• The Rosenzweig Porter model revisited for the three Wigner Dyson symmetry classes
• Random-matrix theory of amplifying and absorbing resonators with PT or PTT' symmetry
• Nodal pair density waves from a quarter-metal in crystalline graphene multilayers
• Non-Perturbative Random Matrix Model of $\mathcal{N}=2$ JT Supergravity
• A geometrical triumvirate of real random matrices
• Zero Modes on Zero-Angle Grain Boundaries in Graphene
• Effect of proximity-induced spin-orbit coupling in graphene mesoscopic billiards
• Multiple Andreev reflections in s-wave superconductor-quantum dot- topological superconductor tunnel junctions and Majorana bound states
• Periodic Clifford symmetry algebras on flux lattices
• Statistics tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains
• Absence of topology in Gaussian mixed states of bosons
• Riemannian Gaussian distributions, random matrix ensembles and diffusion kernels
• Localized surfaces of three dimensional topological insulators
• Vortex core near planar defects in a clean layered superconductor
• Two-Dimensional Time-Reversal-Invariant Topological Insulators via Fredholm Theory
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Topological Phases of Tight-Binding Trimer Lattice in the BDI Symmetry Class
• Topologically Protected Edge States in Triangular Lattices
• Many-body localization of zero modes
• Symmetry-Protected Topological Phase for Spin-Tensor-Momentum-Coupled Ultracold Atoms
• Quantum coherence controls the nature of equilibration in coupled chaotic systems
• Generalized multifractality in 2D disordered systems of chiral symmetry classes
• Correlation-Assisted Quantized Charge Pumping
• Decoherence rate in random Lindblad dynamics
• Pfaffian formula for fermion parity fluctuations in a superconductor and application to Majorana fusion detection
• Simulating Floquet topological phases in static systems
• Approximate symmetries and conservation laws in topological insulators and associated $\mathbb{Z}$-invariants
• Stacking-induced Chern insulator
• Critical and non critical non-Hermitian topological phase transitions in one dimensional chains
• Quasiparticle conductivities in disordered d-wave superconductors
• Bosonic Topological Excitations from the Instability of a Quadratic Band Crossing
• Chiral Gravitomagnetic Effect in Topological Superconductors and Superfluids
• Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices
• Quantum chaos and level dynamics
• Rotoinversion-symmetric bulk-hinge correspondence and its applications to higher-order Weyl semimetals
• Driving Topological Phases by Spatially Inhomogeneous Pairing Centers
• Coherent information as a mixed-state topological order parameter of fermions
• Spectral statistics of multi-parametric Gaussian ensembles with chiral symmetry
• Topological spin-singlet superconductors with underlying sublattice structure
• A semiclassical treatment of spinor topological effects in driven, inhomogeneous insulators under external electromagnetic fields
• Replica Symmetry Breaking for the Integrable Two-Site Sachdev-Ye-Kitaev Model
• Observing a topological phase transition with deep neural networks from experimental images of ultracold atoms
• Transport signatures of interacting fermions in quasi-one-dimensional topological superconductors
• Localization and Chern numbers for weakly disordered BdG operators
• Defects in Graphene : A Topological Description
• Universal Stochastic Equations of Monitored Quantum Dynamics
• Topological signatures of the coexistence of antiferromagnetism and odd-parity spin-triplet superconductivity
• Superconducting Proximity Effect and Universal Conductance Fluctuations
• Thermodynamics and entanglement entropy of the non-Hermitian SSH model
• Effects of Andreev reflection on the conductance of quantum-chaotic dots
• Topological end states due to inhomogeneous strains in wrinkled semiconducting ribbons
• Phases in two dimensional $p_x+i{p}_y$ superconducting systems with next-nearest-neighbor interactions
• Classical route to ergodicity and scarring in collective quantum systems
• Pseudo topological insulators
• Edge states for topological insulators in two dimensions and their Luttinger-like liquids
• Evolution of the transmission phase through a Coulomb-blockaded Majorana wire
• Topology of chalcogen chains
• Quantum diffusion in two-dimensional random systems with particle-hole symmetry
• Statistical Majorana Bound State Spectroscopy
• Increased localization of Majorana modes in antiferromagnetic chains on superconductors
• Magnetic Flux Response of Non-Hermitian Topological Phases
• Mechanisms for Magnetic Skyrmion Catalysis and Topological Superconductivity
• Experimental study of closed and open microwave waveguide graphs with preserved and partially violated time-reversal invariance
• Anderson Critical Metal Phase in Trivial States Protected by Average Magnetic Crystalline Symmetry
• Impurity Effects on Bound States in the Vortex Core of Topological S-wave Superconductor
• Supersymmetry on the lattice: Geometry, Topology, and Flat Bands
• Revealing the spatial nature of sublattice symmetry
• Two-dimensional topological superconducting phases emerged from d-wave superconductors in proximity to antiferromagnets
• Non-Hermitian skin effect enforced by nonsymmorphic symmetries
• Complex magnetic ground states and topological electronic phases of atomic spin chains on superconductors
• Mesoscopic conductance fluctuations and noise in disordered Majorana wires
• Conformal QED in two-dimensional topological insulators
• Topological superconductivity in a magnetic-texture coupled Josephson junction
• Identification of topological order in the fractional quantum Hall state at $\nu =1/4$
• Random matrix theory and critical phenomena in quantum spin chains
• Symmetry classes, many-body zero modes, and supersymmetry in the complex Sachdev-Ye-Kitaev model
• Molecular-orbital representation with random U(1) variables
• Broken Symmetry in Ideal Chern Bands
• Edge states, Majorana fermions and topological order in superconducting wires with generalized boundary conditions
• Universal finite size scaling around tricriticality between topologically ordered, SPT, and trivial phases
• Probing Majorana bound states through an inhomogeneous Andreev double dot interferometer
• Extended Majorana zero modes in a topological superconducting-normal T-junction
• Bulk Pumping in 2D Topological Phases
• Topological indicators for systems with open boundaries: Application to the Kitaev wire
• Generalized surface multifractality in 2D disordered systems
• ${\mathbb{Z}}_2$ topological invariants for mixed states of fermions in time-reversal invariant band structures
• Planar Dirac fermions in long-range-correlated random vector potential
• Higher-order topology protected by latent crystalline symmetries
• Finite temperature effects on Majorana bound states in chiral $p$-wave superconductors
• Interacting Local Topological Markers: A one-particle density matrix approach for characterizing the topology of interacting and disordered states
• Transport properties of an interacting Majorana chain
• Quasiparticle Localization Transition in Dirty Superconductors
• Scaling at chiral quantum critical points in two dimensions
• Quantized transport induced by topology transfer between coupled one-dimensional lattice systems
• Critical fixed points in class D superconductors
• Fermionic criticality is shaped by Fermi surface topology: a case study of the Tomonaga-Luttinger liquid
• Entanglement of a 3D generalization of the Kitaev model on the diamond lattice
• The Geometry of (non-Abelian) Landau levels
• Full counting statistics in disordered graphene at Dirac point: From ballistics to diffusion
• A Bipartite Kronig-Penney Model with Dirac Potential Scatterers
• Finite Size Scaling at the Topological Transition: Bilinear-Biquadratic Spin-1 Chain
• Local and energy-resolved topological invariants for Floquet systems
• Magnetic tilting and emergent Majorana spin connection in topological superconductors
• Quantum geometry of bosonic Bogoliubov quasiparticles
• Dirac Fermions and Topological Phases in Magnetic Topological Insulator Films
• Unveiling Higher-Order Topology via Polarized Topological Charges
• Universal hard-edge statistics of non-Hermitian random matrices
• Coexistence of 1D and 2D topology and genesis of Dirac cones in the chiral Aubry-André model
• Derivative principles for invariant ensembles
• Partial flux ordering and thermal Majorana metals in (higher-order) spin liquids
• Emergent $Z_2$ Topological Invariant and Robust Helical Edge States in Two-Dimensional Topological Metals
• Unconventional scaling theory in disorder-driven quantum phase transition
• Level statistics and Anderson delocalization in two-dimensional granular materials
• Charge conservation protected topological phases
• Pseudo-time-reversal-symmetry-protected topological Bogoliubov excitations of Bose-Einstein condensates in optical lattices
• Spin-Orbit Coupling and Topological States in $F=\frac{3}{2}$ Cold Fermi Gas
• Selection Rule for Topological Amplifiers in Bogoliubov de Gennes Systems
• Linking structures of doubly charged nodal surfaces in centrosymmetric superconductors
• Effective response theory for zero energy Majorana bound states in three spatial dimensions
• Topological surface states and Andreev bound states in superconducting iron pnictides
• The bulk-dislocation correspondence for weak topological insulators on screw-dislocated lattices
• Thermodynamics of a Higher-Order Topological Insulator
• Topological spinon bands and vison excitations in spin-orbit coupled quantum spin liquids
• Topological gapless points in superconductors: From the viewpoint of symmetry
• Field Theoretical Study of Disorder in Non-Hermitian Topological Models
• Entanglement in non-critical inhomogeneous quantum chains
• Statistical analysis of chiral structured ensembles: role of matrix constraints
• On critical properties of Berry curvature in Kitaev honeycomb model
• Quantum critical fluctuations in disordered d-wave superconductors
• Topological study of a Bogoliubov-de Gennes system of pseudo spin-$1/2$ bosons with conserved magnetization in a honeycomb lattice
• T-duality and the bulk-boundary correspondence
• Frustration-free Hamiltonians supporting Majorana zero edge modes
• Rigidity of topological invariants to symmetry breakings
• Winding Number Statistics of a Parametric Chiral Unitary Random Matrix Ensemble
• Extrinsic topology of Floquet anomalous boundary states in quantum walks
• Superconductivity, generalized random phase approximation and linear scaling methods
• Super Spin-Charge Separation for class A, C, and D disorder
• Symmetry classes of dissipative topological insulators with edge dark state
• Non-Abelian topological superconductivity in maximally twisted double-layer spin-triplet valley-singlet superconductors
• Landau level broadening in graphene with long-range disorder -- Robustness of the n=0 level
• Universal phase diagram of topological superconductors subjected to magnetic flux
• Topological superconductivity induced by a Kitaev spin liquid
• Winding Number Statistics for Chiral Random Matrices: Averaging Ratios of Determinants with Parametric Dependence
• Squashed entanglement in one-dimensional quantum matter
• The tenfold way redux: Fermionic systems with $N$-body interactions
• Spin Berry curvature of the Haldane model
• Determinantal process starting from an orthogonal symmetry is a Pfaffian process
• Resilience of topological superconductivity under particle current
• Ballistic transport in disordered Dirac and Weyl semimetals
• Majorana Zero-modes and Topological Phases of Multi-flavored Jackiw-Rebbi model
• Resolution of unity for fermionic Gaussian operators
• Semiclassical electron transport at the edge of a 2D topological insulator: Interplay of protected and unprotected modes
• Universal Features of Spin Transport and Breaking of Unitary Symmetries
• Berezinskii-Kosterlitz-Thouless localization-localization transitions in disordered two-dimensional quantized quadrupole insulators
• Controlling Majorana hybridization in magnetic chain-superconductor systems
• Topological nodal $i$-wave superconductivity in PtBi${}_2$
• An Interplay of Topology and Quantized Geometric Phase for two Different Symmetry-Class Hamiltonians
• Dynamical symmetry breaking in a 2D electron gas with a spectral node
• Robust Zero Energy Bound States Localized at Magnetic Impurities in Iron-based Superconductors
• Local Density of the Bose Glass Phase
• Parsing skin effect in a non-Hermitian spinless BHZ-like model
• Symmetry and localization for magnetic Schroedinger operators: Landau levels, Gabor frames and all that
• Suppression of magnetotransport in strongly disordered graphene
• Almost Strong Zero Modes at Finite Temperature
• Magnon-mediated topological superconductivity in a quantum wire
• Higher-order gap ratios of singular values in open quantum systems
• The energy-level statistics in the core of a vortex in a p-wave superconductor
• Rotationally invariant ensembles of integrable matrices
• A path property of Dyson gaps, Plancherel measures for $Sp(\infty )$, and random surface growth
• Entanglement dynamics in monitored Kitaev circuits: loop models, symmetry classification, and quantum Lifshitz scaling
• Fermionic Symmetry Protected Topological Phase Induced by Interactions
• Unconventional edge states in a two-leg ladder
• Fractional corner charges in threefold-symmetric two-dimensional materials with fragile topology
• Almost commuting self-adjoint matrices --- the real and self-dual cases
• Resonating-valence-bond structure of Gutzwiller-projected superconducting wave functions
• The Ergodicity Landscape of Quantum Theories
• Structural, electronic and topological properties of 3D TmBi compound
• Entanglement in 3D Kitaev Spin Liquids
• Floquet chiral hinge modes and their interplay with Weyl physics in a three-dimensional lattice
• Beyond the $10$-fold way: $13$ associative $Z_2\times Z_2$-graded superdivision algebras
• Spin quantum Hall effect and plateau transitions in multilayer network models
• Fubini-Study metric and topological properties of flat band electronic states: the case of an atomic chain with $s-p$ orbitals
• Suppression of Shot Noise in a Dirty Marginal Fermi Liquid
• Supersymmetric Free Fermions and Bosons: Locality, Symmetry and Topology
• Parametric level statistics in random matrix theory: Exact solution
• Interaction-Driven Topological Switch in a $P$-Band Honeycomb Lattice
• Takagi topological insulator with odd $\mathcal{P}\mathcal{T}$ pairs of corner states
• Topological phases due to the coexistence of superconductivity and spin-density wave: Application to high Tc superconductors in the underdoped regime
• Beyond the standard model of topological Josephson junctions: From crystalline anisotropy to finite-size and diode effects
• Diamagnetism of metallic nanoparticles as the result of strong spin-orbit interaction
• Aperiodic dynamical quantum phase transitions in multi-band Bloch Hamiltonian and its origin
• Invertible phases for mixed spatial symmetries and the fermionic crystalline equivalence principle
• Renormalization group analysis of Dirac fermions with random mass
• LSM and CPT
• Essential implications of similarities in non-Hermitian systems
• Enhancement of Superconductivity in a Dirty Marginal Fermi Liquid
• Emergence of Topological Non-Fermi Liquid Phases in a Modified Su-Schrieffer-Heeger Chain with Long-Range Interactions
• Weakly interacting one-dimensional topological insulators: a bosonization approach
• Les Houches lectures on two-dimensional gravity and holography
• Superbosonisation via Riesz superdistributions
• Statistics of Stationary Points of Random Finite Polynomial Potentials
• Symmetric Fermi projections and Kitaev's table: topological phases of matter in low dimensions
• Supercurrent-Induced Weyl Superconductivity
• Linear level repulsions near exceptional points of non-Hermitian systems
• Numerical study of spin quantum Hall transitions in superconductors with broken time-reversal symmetry
• Topological Superconducting States and Quasiparticle Transport on Kagome Lattice
• Quantum phase transitions and a disorder-based filter in a Floquet system
• Non-Hermitian $C_{NH}=2$ Chern insulator protected by generalized rotational symmetry
• Synthesizing Weyl semimetals in weak topological insulator and topological crystalline insulator multilayers
• Interacting SPT phases are not Morita invariant
• Topological reflection matrix
• Topological phase diagram of the disordered 2XY model in presence of generalized Dzyaloshinskii-Moriya Interaction
• Random matrix theory of proximity effect in disordered wires
• Locally equivalent quasifree states and index theory
• A Model for Topological p-wave Superconducting Wires with Disorder and Interactions
• Vortex viscosity in the moderately clean limit of layered superconductors
• Magnetic impurities along the edge of a quantum spin Hall insulator: Realizing a one-dimensional AIII insulator
• Topology of Discrete Quantum Feedback Control
• Topological Modes in Monitored Quantum Dynamics
• Chern-Simons theory and atypical Hall conductivity in the Varma phase
• Exact correlations in topological quantum chains
• Detecting quasi-degenerate ground states in topological models via variational quantum eigensolver
• Tunable topological phases with fermionic atoms in a one-dimensional flux lattice
• Exotic Topological States with Raman-Induced Spin-Orbit Coupling
• Weak localization corrections to the thermal conductivity in $s$-wave superconductors
• Topological superconductivity in an ultrathin, magnetically-doped topological insulator proximity coupled to a conventional superconductor
• Classification of topological invariants related to corner states
• Topological physics in quantum critical systems
• Large N spin quantum Hall effect
• High-gradient operators in perturbed Wess-Zumino-Witten field theories in two dimensions
• Dynamical signatures of ground-state degeneracy to discriminate against Andreev levels in a Majorana fusion experiment
• Random Block Operators
• Topological excitations at time vortices in periodically driven systems
• Parametric correlations versus fidelity decay: the symmetry breaking case
• Gapful electrons in a vortex core in granular superconductors
• Spin selective coupling to Majorana zero modes in mixed singlet and triplet superconducting nanowire
• A tale of two localizations: coexistence of flat bands and Anderson localization in a photonics-inspired amorphous system
• Symmetry classification of typical quantum entanglement
• Second Euler number in four dimensional synthetic matter
• Synthetic Hall tube of interacting fermions
• Zero-dimensional topologically nontrivial state in a superconducting quantum dot
• Elementary models of 3D topological insulators with chiral symmetry
• Topological Phases in Fractals: Local Spin Chern Marker in the Sierpinski carpet Kane-Mele-Rashba Model
• Holographic classification of Topological Insulators and its 8-fold periodicity
• Band structure and end states in InAs/GaSb core-shell-shell nanowires
• Exactly solvable spin chain models corresponding to BDI class of topological superconductors
• Conductance fluctuations in disordered superconductors with broken time-reversal symmetry near two dimensions
• Closed and open superconducting microwave waveguide networks as a model for quantum graphs
• Kitaev Building-block Construction for Inversion-Protected Higher-order Topological Superconductors
• Mixed higher-order topology and nodal and nodeless flat band topological phases in a superconducting multiorbital model
• Majorana corner pairs in a two-dimensional $s$-wave cold atomic superfluid
• 4$\pi$ and 8$\pi$ dual Josephson effects induced by symmetry defects
• Effects of anisotropic correlations in fermionic zero-energy bound states of topological phases
• Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states
• Color degeneracy of competing orders near topological defects cores in planar quadratic band touching systems
• Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model
• Topological semimetals and insulators in three-dimensional honeycomb materials
• Interacting Chern Insulator in Infinite Spatial Dimensions
• On the Cartan Decomposition for Classical Random Matrix Ensembles
• Flat-band full localization and symmetry-protected topological phase on bilayer lattice systems
• Fate of symmetry protected coherence in open quantum system
• The cohomology invariant for class DIII topological insulators
• Solvable 2D superconductors with l-wave pairing
• Sign-Problem-Free Variant of Complex Sachdev-Ye-Kitaev Model
• Topological transitions in two-dimensional Floquet superconductors
• C-P-T Fractionalization
• Topological Phase Transition in a Molecular Hamiltonian with Symmetry and Pseudo-Symmetry, Studied through Quantum, Semi-Quantum and Classical Models
• Absolutely continuous edge spectrum of topological insulators with an odd time-reversal symmetry
• An index theorem for quarter-plane Toeplitz operators via extended symbols and gapped Invariants related to corner states
• Punctured-Chern topological invariants for semi-metallic bandstructures
• Beta-functions of non-linear $\sigma$-models for disordered and interacting electron systems
• Universal Distribution of Would-be Topological Zero Modes in Coupled Chiral Systems
• Effect of spin-orbit coupling on the excitation spectrum of Andreev billiards
• On symmetric Tetranacci polynomials in mathematics and physics
• Suppression of one-dimensional weak localization by band asymmetry
• Duality in topological superconductors and topological ferromagnetic insulators in a honeycomb lattice
• Chern numbers associated with the periodic Toda lattice
• Composite Quantum Phases in Non-Hermitian Systems
• Topological zero-modes of the spectral localizer of trivial metals
• Atiyah-Hirzebruch spectral sequence for topological insulators and superconductors: $E_2$ pages for 1651 magnetic space groups
• Multifractal Properties of Tribonacci Chains
• Winding Number Statistics for Chiral Random Matrices: Averaging Ratios of Parametric Determinants in the Orthogonal Case
• Spectral Form Factors of Topological Phases
• Quantized thermal and spin transports of dirty planar topological superconductors
• Percolation Transition in a Topological Phase
• Spontaneous symmetry breaking and quantum Hall valley ordering on the surface of topological hexaborides
• Model non-Hermitian topological operators without skin effect: A general principle of construction
• Effect of a tunnel barrier on the scattering from a Majorana bound state in an Andreev billiard
• Bound states and local topological phase diagram of classical impurity spins coupled to a Chern insulator
• Scaling of critical wavefunctions at topological Anderson transitions in 1D
• Type-II topological phase transitions of topological skyrmion phases
• Impurity Effects on Caroli-de Gennes-Matricon Mode in a Vortex Core in Superconductors
• Topologically Induced Fermion Parity Flips in Superconductor Vortices
• Equivalence of topological mirror and chiral superconductivity in one dimension
• Strong-coupling approach to temperature dependence of competing orders of superconductivity: Possible time-reversal symmetry breaking and nontrivial topology
• Diagnosing thermalization dynamics of non-Hermitian quantum systems via GKSL master equations
• Weyl superconductivity and quasiperiodic Majorana arcs in quasicrystals
• Flow of unitary matrices: Real-space winding numbers in one and three dimensions
• Majorana multipole response with magnetic point group symmetry
• $K$-theory classification of Wannier localizability and detachable topological boundary states
• Quantized electrical, thermal, and spin transports of non-Hermitian clean and dirty two-dimensional topological insulators and superconductors
• Dyson-Maleev representation of nonlinear sigma-models
• Hong-Ou-Mandel Interference in a temporal-average-inversion-symmetric chain
• Matchgate circuits deeply thermalize
• Superconductive proximity in a Topological Insulator slab and excitations bound to an axial vortex
• ${\mathbb{Z}}_2$~Green's function topology of Majorana wires
• Generalized index theorem for topological superconductors with Yang-Mills-Higgs couplings
• Adiabatic charge transport in extended SSH models
• Signatures of exceptional points in multiterminal superconductor-normal metal junctions
• Majorana bound state of a Bogoliubov-de Gennes-Dirac Hamiltonian in arbitrary dimensions
• Crossovers between superconducting symmetry classes
• Localization properties of random-mass Dirac fermions from real-space renormalization group
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• From orthosymplectic structure to super topological matter
• Disordered Graphene Ribbons as Topological Multicritical Systems
• Quasi-particle dephasing time in disordered d-wave superconductors
• Topology and many-body localization
• Interacting Majorana modes at surfaces of noncentrosymmetric superconductors
• Quantum phase transitions of a generalized compass chain with staggered Dzyaloshinskii-Moriya interaction
• Index of Dirac operators and classification of topological insulators
• Time-Reversal Symmetry Breaking and Decoherence in Chaotic Dirac Billiards
• Energy-level correlations in chiral symmetric disordered systems: Corrections to the universal results
• Logarithmic Correlations in Quantum Hall Plateau Transitions
• Relevant perturbations at the spin quantum Hall transition
• Unwinding of a one-dimensional topological superconductor
• Macroscopic Resonant Tunneling through Andreev Interferometers
• Visualising the connection between edge states and the mobility edge in adiabatic and non-adiabatic topological charge transport
• From quantum geometry to non-linear optics and gerbes: Recent advances in topological band theory
• From Majorana fermions to topological quantum computation in semiconductor/superconductor heterostructures
• Symmetry-Protected Solitons and Bulk-Boundary Correspondence in Generalized Jackiw-Rebbi Models
• Complete characterization of spin chains with two Ising symmetries
• Quasiparticle Delocalization Induced by Novel Quantum Interference in Disordered d-Wave Superconductors
• Instability of QBC systems to Topological Anderson Insulating phases
• Tensor Theory for Higher Dimensional Chern Insulators with Large Chern Numbers
• Dynamical characterization of $Z_2$ Floquet topological phases via quantum quenches
• Topological phases of many-body non-Hermitian systems
• Bulk excitations in ultraclean $\alpha$-RuCl${}_3$: Quantitative evidence for Majorana dispersions in a Kitaev quantum spin liquid
• Field-Programmable Topological Array: Framework and Case-Studies
• Conductivity of disordered 2d binodal Dirac electron gas: Effect of the internode scattering
• Interactions, superconducting $T_c$, and fluctuation magnetization for two coupled dots in the crossover between the Gaussian Orthogonal and Unitary ensembles
• Two parameter scaling in the crossover from symmetry class BDI to AI
• Universal properties of boundary and interface charges in multichannel one-dimensional continuum models
• Takagi Topological Insulator on the Honeycomb Lattice
• Kitaev Chain with a Fractional Twist
• Topological strings linking with quasi-particle exchange in superconducting Dirac semimetals
• Quantum Hall effects in layered disordered superconductors
• Unremovable linked nodal structures protected by crystalline symmetries in stacked bilayer graphene with Kekulé texture
• One-dimensional ${\mathbb{Z}}_4$ topological superconductor
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• Non-Abelian Majorana fermions in topological $s$-wave Fermi superfluids
• On the detectability of paraparticles beyond bosons and fermions
• Dyson's Classification And Real Division Superalgebras
• Complete zero-energy flat bands of surface states in fully gapped chiral noncentrosymmetric superconductors
• The Perturbed Maxwell Operator as Pseudodifferential Operator
• Symmetry and dynamics universality of supermetal in quantum chaos
• Hybrid symmetry class topological insulators
• $\Delta T$-noise in Multiterminal Hybrid Systems
• Characterizing Floquet topological phases by quench dynamics: A multiple-subsystem approach
• Quantum Chaos, Randomness and Universal Scaling of Entanglement in Various Krylov Spaces
• Hermitian and non-Hermitian topology in active matter
• Transversality-Enforced Tight-Binding Models for 3D Photonic Crystals aided by Topological Quantum Chemistry
• General response theory of topologically stable Fermi points and its implications for disordered cases
• Dynamical Chiral Symmetry and Symmetry-Class Conversion in Floquet Topological Insulators
• Disordered cold atoms in different symmetry classes
• Sixfold Way of Traversable Wormholes in the Sachdev-Ye-Kitaev Model
• Color Superconductivity, Fermionic Quasinormal Modes in Reissner-Nordström-anti-de Sitter Spacetimes and Supersymmetry
• Random Quantum Circuits with Time-Reversal Symmetry
• Non-Hermitian catalysis of spontaneous symmetry breaking on Euclidean and hyperbolic lattices
• Finite-temperature topological invariant for higher-order topological insulators
• Superconducting proximity effect in quantum wires without time-reversal symmetry
• Topological phase in a $d_{x^2-y^2}+(p+ip)$ superconductor in presence of spin-density-wave
• State Transfer in Latent-Symmetric Networks
• Topological phase transitions in superconductors with chiral symmetry
• Mirror-symmetry protected higher-order topological zero-frequency boundary and corner modes in Maxwell lattices
• Non-Abelian vortices in the emergent U(2) gauge theory of the Hubbard model
• Emerging topological characterization in non-equilibrium states of quenched Kitaev chains
• Instanton analysis for the spin quantum Hall symmetry class: Non-perturbative corrections to physical observables and generalized multifractal spectrum
• Simulating a Chern Insulator with C = $\pm$2 on Synthetic Floquet Lattice
• How spectrum-wide quantum criticality protects surface states of topological superconductors from Anderson localization: Quantum Hall plateau transitions (almost) all the way down
• Integrable Aspects of Universal Quantum Transport in Chaotic Cavities
• Higher-order topological phases for time-reversal-symmetry breaking superconductivity in UTe${}_2$
• Parity-dependent localization in $N$ strongly coupled chains
• Family of Aperiodic Tilings with Tunable Quantum Geometric Tensor
• Random-Matrix Approach to RPA equations. I
• Quantum-critical dynamics of a Josephson junction at the topological transition
• Spectral and Strength Statistics of Chiral Brownian Ensemble
• Representation Theory for Massless Quasiparticles in Bogoliubov-de Gennes Systems
• Altermagnet-Superconductor Heterostructure: a Scalable Platform for Braiding of Majorana Modes
• Homotopy invariant in time-reversal and twofold rotation symmetric systems
• Computing Floquet Hamiltonians with Symmetries
• Signatures of surface Majorana modes in the magnetic response of topological superconductors
• Global Symmetries of Naive and Staggered Fermions in Arbitrary Dimensions
• Topological quantum phase transition in strongly correlated Kondo insulators in 1D
• Interacting Dirac fields in an expanding universe: dynamical condensates and particle production
• Higher first Chern numbers in one dimensional Bose-Fermi mixtures
• Topological extension including quantum jump
• Representation-protected topology of spin-singlet $s$-wave superconductors
• Symmetry classes of classical stochastic processes
• Phase coherence phenomena in superconducting films
• Nishimori point in random-bond Ising and Potts models in 2D
• Polynomial description of inhomogeneous topological superconducting wires
• Topological superconductivity in a spin-orbit coupled Kondo lattice
• Topological phases in discrete stochastic systems
• Cold atoms meet lattice gauge theory
• Universal Transport Properties of Disordered Quantum Wires
• Dynamics of Anderson localization in disordered wires
• Majorana-metal transition in a disordered superconductor: percolation in a landscape of topological domain walls
• Classification of unitary operators by local generatability
• Free-Fermion Dynamics with Measurements: Topological Classification and Adaptive Preparation of Topological States
• Hierarchical analytical approach to universal spectral correlations in Brownian Quantum Chaos
• The complete conformal spectrum of a $sl(2|1)$ invariant network model and logarithmic corrections
• $Z_2\times Z_2$ symmetry and $Z_4$ Berry phase of bosonic ladder
• From Hermitian critical to non-Hermitian point-gapped phases
• Hidden time-nonlocal Floquet symmetries
• Excitonic gap generation in thin-film topological insulators
• Lieb-Robinson Bounds on Entanglement Gaps from Symmetry-Protected Topology
• Klein Paradox in Chaotic Dirac Billiards
• Fisher Hartwig determinants, conformal field theory and universality in generalised XX models
• Gauge Dynamics and Topological Insulators
• Surprising Pfaffian factorizations in Random Matrix Theory with Dyson index $\beta =2$
• Non-Abelian holonomy of Majorana zero modes coupled to a chaotic quantum dot
• Time-dependent driving and topological protection in the fractional Josephson effect
• Generalized Li-Haldane Correspondence in Critical Dirac-Fermion Systems
• Localization on the Landscape and Eternal Inflation
• A spin pump characterized by entanglement Chern numbers
• Chiral topological phases in designed mechanical networks
• Band-center metal-insulator transition in bond-disordered graphene
• Diffusion at the Surface of Topological Insulators
• Some Generalizations of Mirzakhani's Recursion and Masur-Veech Volumes via Topological Recursions
• On braid statistics versus parastatistics
• Entanglement Distribution Statistic in Andreev Billiards
• Optical and Raman selection rules for odd-parity clean superconductors
• Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
• Superconductivity in doped planar Dirac insulators: A renormalization group study
• Neutrino zeromodes on electroweak strings in light of topological insulators
• Non-Hermitian topological superconductivity with symmetry-enriched spectral and eigenstate features
• Mesoscopic fluctuations in superconductor-topological insulator Josephson junctions
• Inducing ${\mathbb{Z}}_2$ Topology in Twisted Nodal Superconductors
• Universal distributions from non-Hermitian Perturbation of Zero-Modes
• Entanglement spectra of superconductivity ground states on the honeycomb lattice
• Boundary topological insulators and superconductors of Altland-Zirnbauer tenfold classes
• Gapless superconductivity and its real-space topology in quasicrystals
• Nonlocal order parameter of pair superfluids
• Exceptional Points, Bulk-Boundary Correspondence, and Entanglement Properties for a Dimerized Hatano-Nelson Model with Staggered Potentials
• Lieb-Schultz-Mattis Theorem and the Filling Constraint
• Steering edge currents through a Floquet topological insulator
• Role of the impurity-potential range in disordered d-wave superconductors
• Dynamical response and time correlation functions in random quantum systems
• Artificial oxide heterostructures with non-trivial topology
• Hopf Semimetals
• Many-body selection rule for quasiparticle pair creations in centrosymmetric superconductors
• Quantized and maximum entanglement from sublattice symmetry
• Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator
• Topological Fulde-Ferrell Superfluids in Triangular Lattices
• Generalized Majorana edge modes in a number-conserving periodically driven $p$-wave superconductor
• Global and Local Topological Crystalline Markers for Rotation-Symmetric Insulators
• Topological defect-mediated corner states and higher-order bulk topology in a two-dimensional crystalline insulator
• Boundary conditions and violations of bulk-edge correspondence in a hydrodynamic model
• Making s-wave superconductors topological with magnetic field
• Topological bosonic Bogoliubov excitations with sublattice symmetry
• Extended critical phase in quasiperiodic quantum Hall systems
• Genuine topological Anderson insulator from impurity induced chirality reversal
• Arboreal Obstructed Atomic Insulating and Metallic Phases of Fermions
• Universal Conductance Fluctuations in Mesoscopic Systems with Superconducting Leads: Beyond the Andreev Approximation
• Josephson junction arrays as a platform for topological phases of matter
• Programmable non-Hermitian photonic quantum walks via dichroic metasurfaces
• Non-Hermitian Hopf insulators
• Spin Geometry and Some Applications
• Emergent fractals in dirty topological crystals
• Patterned Random Matrices: deviations from universality
• Breakdown of Bulk-Radiation Correspondence in Radiative Photonic Lattices
• Topological charge excitations and Green's function zeros in paramagnetic Mott insulators
• Topological Josephson junction in transverse magnetic field
• Effect of Disorder on the Conductance of (non-) Topological SN Junctions
• Non-hermitian topology and entanglement in an optomechanical superlattice
• Marginal Metals and Kosterlitz-Thouless Type Phase Transition in Disordered Altermagnets
• Nonrelativistic Banks-Casher relation and random matrix theory for multi-component fermionic superfluids
• Robust quantisation of circular photogalvanic effect in multiplicative topological semimetals
• Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
• Superfluid Stiffness and Josephson Quantum Capacitance: Adiabatic Approach and Topological Effects
• Strong asymptotics of Laguerre-type orthogonal polynomials and applications in random matrix theory
• Superconductivity in three-dimensional interacting doped topological insulators
• Quantum-vacuum-protected topological edge polaritons
• Wigner theorems for random matrices with dependent entries: Ensembles associated to symmetric spaces and sample covariance matrices
• Network model for magnetic higher-order topological phases
• Anderson localization of a Majorana fermion
• Disorder-induced delocalization and reentrance in a Chern-Hopf insulator
• Jordan Decomposition of Non-Hermitian Fermionic Quadratic Forms
• Critical behavior of Anderson transitions in higher dimensional Bogoliubov-de Gennes symmetry classes
• Complex symmetric, self-dual, and Ginibre random matrices: Analytical results for three classes of bulk and edge statistics
• Threefold Way for Typical Entanglement
• Emergent topological phases in an extended Su-Schrieffer-Heeger model with Rashba spin-orbit interaction, higher order hopping and domain wall
• Quantitative measure of topological protection in Floquet systems through the spectral localizer
• Chaos and moduli space volumes in unorientable JT gravity
• Topology of Fermi Surfaces and anomaly inflows
• Higher-order Topological Knots and the classification of non-Hermitian lattices under $C_n$ symmetry
• Tuning the topology of $p$-wave superconductivity in an analytically solvable two-band model
• Topological Amplification of the Bosonic Kitaev Chain with Non-Uniform Loss
• Symmetry and Topology of Monitored Quantum Dynamics
• Ensemble-averaged mean-field many-body level density: an indicator of integrable versus chaotic single-particle dynamics
• Anderson localization and Supersymmetry
• Topological Insulators at Strong Disorder
• Subgap states and quantum phase transitions in one-dimensional superconductor-ferromagnetic insulator heterostructures
• A ${\mathbb{Z}}_2$-Topological Index for Quasi-Free Fermions
• Symmetry classification correspondence between quadratic Lindbladians and their steady states
• Manipulation of Majorana wave packets at surfaces of nodal noncentrosymmetric superconductors
• Extended Haldane model -- a modern gateway to topological insulators
• Impurity-induced Mott ring states and Mott zeros ring states in the Hubbard operator formalism
• Quantum Hall Effect without Chern Bands
• Quantum theory of fractional topological pumping of lattice solitons
• Spectral Statistics of Non-Hermitian Random Matrix Ensembles
• Aharanov-Bohm oscillations and perfectly transmitted mode in amorphous topological insulator nanowires
• Transport in honeycomb lattice with random $\pi$-fluxes: implications for low-temperature thermal transport in the Kitaev spin liquids
• Intrinsic non-Hermitian topological phases
• Euler band topology in superfluids and superconductors
• Characteristic Polynomials of Random Matrices and Noncolliding Diffusion Processes
• Tunable Magnetic Order in Chiral Coupled Spin Chains
• Absence of measurement- and unraveling-induced entanglement transitions in continuously monitored one-dimensional free fermions
• Higher order topology in a Creutz ladder
• Regularized universal topological markers for Dirac systems
• Higher-order mesoscopic fluctuations in quantum wires: Conductance and current cumulants
• Spectral signatures of nonstabilizerness and criticality in infinite matrix product states
• Inhomogeneous Fixed Point Ensembles Revisited
• Impact of Boundary Conditions on the Double-Kicked Quantum Rotor
• Numerical methods for localization
• Statistical Topology -- Distribution and Density Correlations of Winding Numbers in Chiral Systems
• First Order Topological Phase Transitions and Disorder Induced Majorana Modes in Interacting Fermion Chains
• The superspin approach to a disordered quantum wire in the chiral-unitary symmetry class with an arbitrary number of channels
• Microscopic origin of scalar potential induced topological transition in massive Dirac fermions and scalar Hall effect
• Evading Anderson localization in a one-dimensional conductor with correlated disorder
• Emergence of a new symmetry class for Bogoliubov-de Gennes (BdG) Hamiltonians: Expanding ten-fold symmetry classes
• Spin-mixing-tunneling network model for Anderson transitions in two-dimensional disordered spinful electrons
• A Study of Curvature Theory for Different Symmetry Classes of Hamiltonian
• Unsupervised Learning of Symmetry Protected Topological Phase Transitions
• Stable distributions and domains of attraction for unitarily invariant Hermitian random matrix ensembles
• Majorana Braiding Racetracks from Charge Chern Insulator - Superconductor Hybrids
• Quasi-Particle density of states and Thouless conductance of disordered d-wave superconductors
• Hidden chiral symmetries in BDI multichannel Kitaev chains
• Universal Broadening of Zero Modes: A General Framework and Identification
• Preserving Topology while Breaking Chirality: From Chiral Orthogonal to Anti-symmetric Hermitian Ensemble
• Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping
• Tunable zero modes and quantum interferences in flat-band topological insulators
• Lattice simulation of $(2+1)D$ phonetic solitons and the Renormalization group
• Vortex dissipation and level dynamics for the layered superconductors with impurities
• Supersymmetry approach to delocalization transitions in a network model of the weak field quantum Hall effect and related models
• Doorway States in the Random-Phase Approximation
• Topological Insulators and the Kane-Mele Invariant: Obstruction and Localisation Theory
• Comparison between two approaches to classify topological insulators using K-theory
• Subgap tunneling via quantum-interference effect: insulators and charge density waves
• Nonlinear sigma model approach for level correlations in chiral disordered systems
• Signatures of quantum phases in a dissipative system
• (2+1)D topological phases with RT symmetry: many-body invariant, classification, and higher order edge modes
• Scattering description of edge states in Aharonov-Bohm triangle chains
• Extended edge modes and disorder preservation of a symmetry-protected topological phase out of equilibrium
• Isotropic 3D topological phases with broken time reversal symmetry
• Electrostatically-induced topological phase transitions in polyacetylene molecules
• Theoretical study on thermalization in isolated quantum systems
• Entanglement signatures of a percolating quantum system
• On a Matrix Ensemble for Arbitrary Complex Quantum Systems
• Fluctuations of Wigner-type random matrices associated with symmetric spaces of class DIII and CI
• Coarse geometric approach to topological phases: Invariants from real-space representations
• Physical Pictures for Quasisymmetry in Crystals
• Localization with non-Hermitian off-diagonal disorder
• Long-Range Pairing in the Kitaev Model: Krylov Subspace Signatures
• Disorder-Induced Topological Phases in a Two-Dimensional Chern Insulator with Strong Magnetic Disorder
• Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice
• Effects due to unconventional pairing in transport through a normal metalsuperconductor-normal metal hybrid junction
• Non-linear sigma models for non-Hermitian random matrices in symmetry classes AI${}^{†}$ and AII${}^{†}$
• Emergence of multiple zero modes bound to vortices in extended topological Josephson junctions
• Crystalline Spectral Form Factors
• Discrete global symmetries and dynamics of emergent fermions
• Light-element and purely charge-based topological materials
• Transport scaling and critical tilt effects in disordered two-dimensional Dirac fermions
• Quantum Altermagnetic Instability in Disordered Metals
• Krylov Complexity Under Hamiltonian Deformations and Toda Flows
• Two-dimensional Dirac fermions with random axial-vector potential
• Identification of the Majorana edge modes in tight-binding systems based on the Krylov method
• One-dimensional topology and topolectrics of nonsymmorphic Kramers degenerate systems
• Winding Number Statistics for Chiral Random Matrices: Universal Correlations and Statistical Moments in the Unitary Case
• Anderson localization: a density matrix approach
• Non-Euclidean Fourier inversion on super-hyperbolic space
• Symmetry and Topology of Successive Quantum Feedback Control
• Periodic Orbit Theory Revisited in the Anisotropic Kepler Problem
• The analytically tractable zoo of similarity-induced exceptional structures
• Topological insulators from the perspective of non-commutative geometry and index theory
• Projected branes as platforms for crystalline, superconducting, and higher-order topological phases
• Topological gravity for arbitrary Dyson index
• Code CFTs and Topological Matter
• Effect of Uncorrelated On-site Scalar Potential and Mass Disorder on Transport of Two-Dimensional Dirac Fermions
• Eigenstate Thermalization Hypothesis and Random Matrix Theory Universality in Few-Body Systems
• Theory of the Anderson transition in three-dimensional chiral symmetry classes: Connection to type-II superconductors
• Spin-triplet pair density wave superconductors
• Shot noise from which-path detection in a chiral Majorana interferometer
• Critical States of Fermions with ${\mathbb{Z}}_2$ Flux Disorder
• Gaplessness from disorder and quantum geometry in gapped superconductors
• Multiple-particle diffusion processes from the viewpoint of Dunkl operators: relaxation to the steady state
• Dimensional crossover of class D real-space topological invariants
• Superbosonisation, Riesz superdistributions, and highest weight modules (extended version)
• Towards a Topological Quantum Chemistry description of correlated systems: the case of the Hubbard diamond chain
• Rhombohedral graphite junctions as a platform for continuous tuning between topologically trivial and non-trivial electronic phases
• Phase diagram of disordered fermion model on two-dimensional square lattice with $\pi$-flux
• Extreme value distributions of noncolliding diffusion processes
• Locality of the windowed local density of states
• Symmetry-protected topological wire in a topological vacuum
• Comparing quantum complexity and quantum fidelity
• Hidden chiral symmetry protected $\mathbb{Z}\oplus \mathbb{Z}$ topological insulators in a ladder dimer model
• Galilei covariance of the theory of Thouless pumps
• Topological Invariants of a Filling-Enforced Quantum Band Insulator
• Supersymmetry in Hadron Spectroscopy and Solitons in 2 Dimensional Fermionic Media
• Leading and beyond leading-order spectral form factor in chaotic quantum many-body systems across all Dyson symmetry classes
• Topological Tenfold Classification and the Entanglement of Two Qubits
• Application of Quaternion Neural Network to Time Reversal Based Nonlinear Elastic Wave Spectroscopy
• Tenfold Way for Holography : AdS/CFT and Beyond
• Symmetry Reduction and Boundary Modes for Fe-Chains on an s-wave Superconductor
• Noncolliding Brownian motions and Harish-Chandra formula
• Asymptotics of Weil-Petersson volumes and two-dimensional quantum gravities
• Topological junctions for one-dimensional systems
• Topological squashed entanglement: nonlocal order parameter for one-dimensional topological superconductors
• Antilinear superoperator, quantum geometric invariance, and antilinear symmetry for higher-dimensional quantum systems
• Theory of Berry Singularity Markers: Diagnosing Topological Phase Transitions via Lock-In Tomography
• Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model
• Supermetal-insulator transition in a non-Hermitian network model
• Disorder-induced chiral and helical Majorana edge modes in a two-dimensional Ammann-Beenker quasicrystal
• A matrix model of a non-Hermitian $\beta$-ensemble
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems
• Theory of Hofstadter Superconductors
• Correspondence of topological classification between quantum graph extra dimension and topological matter
• Analytical solutions of topological surface states in a series of lattice models
• Spectra of pinned charge density waves with background current
• Volume-law entanglement entropy of typical pure quantum states
• Quantum chaos in 2D gravity
• Microwave limiters implemented by coupled dielectric resonators based on a topological defect mode and CT-symmetry breaking
• Fractional spin Josephson effect in topological spin superconductors
• Hofstadter Butterflies in Topological Insulators
• Characterizing the transition from topology to chaos in a kicked quantum system
• Universal transition of spectral fluctuation in particle-hole symmetric system
• Emergence of a weak topological insulator from the Bi${}_x$Se${}_y$ family and the observation of weak anti-localization
• Valley- and Orbital-Controlled 2D Chern Insulators Without Spin-orbit Interaction
• Band rearrangement through the 3D-Dirac equation with boundary conditions, and the corresponding topological change
• The mixing-spacetime symmetry in the Floquet-Bloch band theory
• On relations between one-dimensional quantum and two-dimensional classical spin systems
• Transport in extended Kitaev chain with time reversal symmetry breaking and long-range interaction