Topological Band Theory for Non-Hermitian Hamiltonians

Abstract

We develop the topological band theory for systems described by non-Hermitian Hamiltonians, whose energy spectra are generally complex. After generalizing the notion of gapped band structures to the non-Hermitian case, we classify "gapped" bands in one and two dimensions by explicitly finding their topological invariants. We find nontrivial generalizations of the Chern number in two dimensions, and a new classification in one dimension, whose topology is determined by the energy dispersion rather than the energy eigenstates. We then study the bulk-edge correspondence and the topological phase transition in two dimensions. Different from the Hermitian case, the transition generically involves an extended intermediate phase with complex-energy band degeneracies at isolated "exceptional points" in momentum space. We also systematically classify all types of band degeneracies.

6 pages, 3 figures + 6 pages of supplemental material

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Cited by in corpus (741)

• Topological Photonics
• Edge states and topological invariants of non-Hermitian systems
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• Non-Bloch Band Theory of Non-Hermitian Systems
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Non-Hermitian Chern bands
• Non-Hermitian Boundary Modes
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Anatomy of skin modes and topology in non-Hermitian systems
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• Non-Hermitian skin effect and chiral damping in open quantum systems
• Non-Hermitian Topology and Exceptional-Point Geometries
• Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
• Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
• Second-Order Topological Phases in Non-Hermitian Systems
• Non-Hermitian Topological Invariants in Real Space
• Critical non-Hermitian Skin Effect
• From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
• Topological phase transition in non-Hermitian quasicrystals
• Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
• Universal non-Hermitian skin effect in two and higher dimensions
• Classification of Exceptional Points and Non-Hermitian Topological Semimetals
• Reciprocal skin effect and its realization in a topolectrical circuit
• Non-Hermitian topological phenomena: A review
• Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
• Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems
• Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
• Higher-order non-Hermitian skin effect
• Interplay of non-Hermitian skin effects and Anderson localization in non-reciprocal quasiperiodic lattices
• New topological invariants in non-Hermitian systems
• Acoustic non-Hermitian skin effect from twisted winding topology
• Experimental realization of a Weyl exceptional ring
• Chiral voltage propagation in a self-calibrated topolectrical Chern circuit
• Observation of arbitrary topological windings of a non-Hermitian band
• Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
• Topological Non-Hermitian skin effect
• Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
• Higher-order topological corner states induced by gain and loss
• Active topological photonics
• Topological states of non-Hermitian systems
• Non-Hermitian perspective of the band structure in heavy-fermion systems
• Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
• Exceptional rings in two-dimensional correlated systems with chiral symmetry
• Quantum Oscillation from In-gap States and non-Hermitian Landau Level Problem
• Symmetry-protected nodal phases in non-Hermitian systems
• Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
• Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
• Exact solution of non-Hermitian systems with generalized boundary conditions: size-dependent boundary effect and fragility of skin effect
• Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
• Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Non-Hermitian systems and topology: A transfer-matrix perspective
• Knots and Non-Hermitian Bloch Bands
• Second-order topological non-Hermitian skin effects
• Topological Phases in Non-Hermitian Aubry-André-Harper Models
• Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics
• Anomalous helical edge states in a non-Hermitian Chern insulator
• Non-Hermitian band topology and skin modes in active elastic media
• Exceptional Surfaces in PT-Symmetric Photonic Systems
• Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos
• Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
• Non-Hermitian Hopf-Link Exceptional Line Semimetals
• Parity-time-symmetric topological superconductor
• Topological Classification of Non-Hermitian Hamiltonians
• Entanglement spectrum and entropy in topological non-Hermitian systems and non-unitary conformal field theories
• Non-Hermitian higher-order topological states in nonreciprocal and reciprocal systems with their electric-circuit realization
• Symmetry-protected multifold exceptional points and their topological characterization
• Perspective on topological states of non-Hermitian lattices
• Sensitivity of parameter estimation near the exceptional point of a non-Hermitian system
• Non-Bloch band collapse and chiral Zener tunneling
• Exceptional Links and Twisted Fermi Ribbons in non-Hermitian Systems
• Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence
• Effects of non-Hermitian perturbations on Weyl Hamiltonians with arbitrary topological charges
• Non-Hermitian topology: a unifying framework for the Andreev versus Majorana states controversy
• Non-Hermitian boundary and interface states in nonreciprocal higher-order topological metals and electrical circuits
• Non-Hermitian Edge Burst
• Topological Phase Transition driven by Infinitesimal Instability: Majorana Fermions in Non-Hermitian Spintronics
• Controlling mass and energy diffusion with metamaterials
• The effects of retardation on the topological plasmonic chain: plasmonic edge states beyond the quasistatic limit
• Nodal Arc in Disordered Dirac Fermions: Connection to Non-Hermitian Band Theory
• Winding Numbers and Generalized Mobility Edges in Non-Hermitian Systems
• Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems
• Knotted Non-Hermitian Metals
• Dynamical quantum phase transitions in non-Hermitian lattices
• Non-Hermitian Topological Anderson Insulators
• Observation of Acoustic Non-Hermitian Bloch Braids and Associated Topological Phase Transitions
• Non-Hermitian Floquet topological phases with arbitrarily many real-quasienergy edge states
• Non-Hermitian mobility edges in one-dimensional quasicrystals with parity-time symmetry
• Fermion doubling theorems in 2D non-Hermitian systems for Fermi points and exceptional points
• Topological invariants and phase diagrams for one-dimensional two-band non-Hermitian systems without chiral symmetry
• Non-Hermitian Linear Response Theory
• Hall Conductance of a Non-Hermitian Chern Insulator
• Generalized bulk-edge correspondence for non-hermitian topological systems
• Experimental demonstration of an anisotropic exceptional point
• Non-Hermitian Dirac Cones
• A perspective on topological nanophotonics: current status and future challenges
• Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models
• Measuring the knot of non-Hermitian degeneracies and non-commuting braids
• Nonunitary Scaling Theory of Non-Hermitian Localization
• Floquet Topological Phases of Non-Hermitian Systems
• Topological classification of non-Hermitian systems with reflection symmetry
• Unraveling non-Hermitian pumping: emergent spectral singularities and anomalous responses
• Many-body localization in a non-Hermitian quasi-periodic system
• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
• Mirror skin effect and its electric circuit simulation
• Non-Hermitian second-order skin and topological modes
• Exceptional rings protected by emergent symmetry for mechanical systems
• Observation of exceptional points and skin effect correspondence in non-Hermitian phononic crystals
• Jones polynomial and knot transitions in topological semimetals
• Tutorial: Computing topological invariants in two-dimensional photonic crystals
• Non-Hermitian exceptional Landau quantization in electric circuits
• Localization and topological transitions in non-Hermitian quasiperiodic lattices
• Many-body topology of non-Hermitian systems
• Experimental Realization of Weyl Exceptional Rings in a Synthetic Three-Dimensional Non-Hermitian Phononic Crystal
• Entanglement spectrum and symmetries in non-Hermitian fermionic non-interacting models
• Topology of anti-parity-time-symmetric non-Hermitian Su-Schrieffer-Heeger model
• Topological symmetry classes for non-Hermitian models and connections to the bosonic Bogoliubov-de Gennes equation
• Helical damping and anomalous critical non-Hermitian skin effect
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Non-Hermitian Weyl Physics in Topological Insulator Ferromagnet Junctions
• Bulk-boundary correspondence for non-Hermitian Hamiltonians via Green functions
• Dynamics and topology of non-Hermitian elastic lattices with non-local feedback control interactions
• Topological hyperbolic lattices
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• Non-Hermitian dynamics without dissipation in quantum systems
• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• Exceptional points in topological edge spectrum of PT symmetric domain walls
• Unsupervised Manifold Clustering of Topological Phononics
• Exceptional Topological Insulators
• Topological Field Theory of Non-Hermitian Systems
• Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems
• DMFT reveals the non-Hermitian topology in heavy-fermion systems
• Unraveling the Non-Hermitian Skin Effect in Dissipative Systems
• Defective Edge States and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
• Inner Skin Effects on Non-Hermitian Topological Fractals
• Two-dimensional non-Hermitian skin effect in an ultracold Fermi gas
• Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals
• Geometric classification of non-Hermitian topological systems through the singularity ring
• Non-Hermitian fractional quantum Hall states
• Non-trivial point-gap topology and non-Hermitian skin effect in photonic crystals
• Topological Amplification in Photonic Lattices
• Topological unidirectional guided resonances emerged from interband coupling
• Non-Hermitian topology of spontaneous magnon decay
• Topological classification of defects in non-Hermitian systems
• Topological classification of non-Hermitian bands
• Topological states in non-Hermitian two-dimensional Su-Schrieffer-Heeger model
• Electric circuits for non-Hermitian Chern insulators
• Kondo effect in a parity-time-symmetric non-Hermitian Hamiltonian
• Experimental measurement of the divergent quantum metric of an exceptional point
• Non-Hermitian skin effect and self-acceleration
• Boundary-dependent Self-dualities, Winding Numbers and Asymmetrical Localization in non-Hermitian Quasicrystals
• Liouvillian Skin Effect in an Exactly Solvable Model
• Engineering tunable local loss in a synthetic lattice of momentum states
• Exceptional Bound States and negative Entanglement Entropy
• Hyperbolic band topology with non-trivial second Chern numbers
• Experimental Realization of Geometry-Dependent Skin Effect in a Reciprocal Two-Dimensional Lattice
• Nonlinearity induced topological physics in momentum space and real space
• Topological band theory for non-Hermitian systems from the Dirac equation
• Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
• Topological Anderson insulators in two-dimensional non-Hermitian disordered systems
• Exceptional points and enhanced sensitivity in PT-symmetric continuous elastic media
• Magnetic suppression of non-Hermitian skin effects
• Bulk-boundary correspondence in non-Hermitian systems: stability analysis for generalized boundary conditions
• Topological phases and nonreciprocal edge states in non-Hermitian Floquet Insulators
• Loss of Hall Conductivity Quantization in a Non-Hermitian Quantum Anomalous Hall Insulator
• Knot topology of exceptional point and non-Hermitian no-go theorem
• Effects of Non-Hermiticity on Su-Schrieffer-Heeger Defect States
• Fate of the non-Hermitian skin effect in many-body fermionic systems
• Topological theory of non-Hermitian photonic systems
• Dislocation Non-Hermitian Skin Effect
• Delocalization of topological edge states
• Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices
• Higher-Order Weyl-Exceptional-Ring Semimetals
• Quantized classical response from spectral winding topology
• Quantum Geometric Tensor in $\mathcal{P}\mathcal{T}$-Symmetric Quantum Mechanics
• Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
• Measuring the Quantum Geometric Tensor in 2D Photonic and Polaritonic Systems
• Synthetic band-structure engineering in polariton crystals with non-Hermitian topological phases
• Exceptional Non-Abelian Topology in Multiband Non-Hermitian Systems
• Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
• Non-Hermitian Topological Phases: Principles and Prospects
• Enhancement of quantum heat engine by encircling a Liouvillian exceptional point
• Classification of topological insulators and superconductors out of equilibrium
• Non-Hermitian Pseudo-Gaps
• Non-Hermitian skin effect beyond the tight-binding models
• Non-Hermitian Photonic Lattices: tutorial
• Equivalence of the effective non-hermitian Hamiltonians in the context of open quantum systems and strongly-correlated electron systems
• Exceptional non-Hermitian topological edge mode and its application to active matter
• Dynamical characterization of non-Hermitian Floquet topological phases in one-dimension
• Floquet engineering of point-gapped topological superconductors
• Chiral-symmetry protected exceptional torus in correlated nodal-line semi-metals
• Topological semimetal phase with exceptional points in one-dimensional non-Hermitian systems
• Finite-size effects in non-Hermitian topological systems
• Effects of renormalization and non-Hermiticity on nonlinear responses in strongly-correlated electron systems
• Non-Bloch bands in two-dimensional non-Hermitian systems
• Topological phases and bulk-edge correspondence of magnetized cold plasmas
• Direct Measurement of Topological Properties of an Exceptional Parabola
• Exact solution of single impurity problem in non-reciprocal lattices: impurity induced size-dependent non-Hermitian skin effect
• Probing Complex-energy Topology via Non-Hermitian Absorption Spectroscopy in a Trapped Ion Simulator
• Dimensional transmutation from non-Hermiticity
• Symmetry protected topological phases characterized by isolated exceptional points
• Dynamical signatures of topological order in the driven-dissipative Kitaev chain
• Eigenvalue topology of non-Hermitian band structures in two and three dimensions
• Fate of fractional quantum Hall states in open quantum systems: characterization of correlated topological states for the full Liouvillian
• Non-Hermitian Boundary State Engineering in Anomalous Floquet Topological Insulators
• Topological bands and triply-degenerate points in non-Hermitian hyperbolic metamaterials
• Spectral deformations in non-Hermitian lattices with disorder and skin effect: a solvable model
• Non-Hermitian Topological Metamaterials with Odd Elasticity
• Topological photonic states in one-dimensional dimerized ultracold atomic chains
• Topological phonon polaritons in one-dimensional non-Hermitian nanoparticle chains
• Topological Phase Transition Independent of System Non-Hermiticity
• Non-Hermitian band topology with generalized inversion symmetry
• $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian Dirac semimetals
• Topology and Observables of the Non-Hermitian Chern Insulator
• Nielsen-Ninomiya Theorem with Bulk Topology: Duality in Floquet and Non-Hermitian Systems
• Non-Hermitian Mott Skin Effect
• Resolving the topology of encircling multiple exceptional points
• Non-Hermitian Floquet Topological Matter -- A Review
• Interaction-induced non-Hermitian topological phases from a dynamical gauge field
• Quantum metric and wavepackets at exceptional points in non-Hermitian systems
• Exceptional points and spectral singularities in active epsilon-near-zero plasmonic waveguides
• Crossing of the branch cut: the topological origin of a universal 2π-phase retardation in non-Hermitian metasurfaces
• Exceptional points and the topology of quantum many-body spectra
• Dissipative Floquet Dynamical Quantum Phase Transition
• Non-Hermitian Chiral Skin Effect
• Anisotropic exceptional points of arbitrary order
• Exceptional band touching for strongly correlated systems in equilibrium
• Non-Hermitian topological phases and dynamical quantum phase transitions: A generic connection
• Annihilation of exceptional points from different Dirac valleys in a 2D photonic system
• Dynamic winding number for exploring band topology
• Photonic corner skin modes
• Hermitian Bulk -- Non-Hermitian Boundary Correspondence
• Electric circuit simulations of $n$th-Chern insulators in $2n$-dimensional space and their non-Hermitian generalizations for arbitral $n$
• Disorder-induced exceptional points and nodal lines in Dirac superconductors
• Relation between exceptional points and the Kondo effect in $f$-electron materials
• Robustness of the Insulating Bulk in the Topological Kondo Insulator SmB${}_6$
• A non-Hermitian optical atomic mirror
• Phase Transitions and Generalized Biorthogonal Polarization in Non-Hermitian Systems
• Dynamical nonlinear higher-order non-Hermitian skin effects and topological trap-skin phase
• Hidden Chern number in one-dimensional non-Hermitian chiral-symmetric systems
• Unsupervised Learning of Non-Hermitian Topological Phases
• $\mathcal{P}\mathcal{T}$-Symmetric Topological Edge-Gain Effect
• Hybrid exceptional point created from type III Dirac point
• Sensitivity of non-Hermitian systems
• Bulk-Bulk Correspondence in Disordered Non-Hermitian Systems
• Evolution and global charge conservation for polarization singularities emerging from nonhermitian degeneracies
• Topology and exceptional points of massive Dirac models with generic non-Hermitian perturbations
• Fate of zero modes in a finite Su-Schrieffer-Heeger Model with $\mathcal{P}\mathcal{T}$ Symmetry
• Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
• Berry connection induced anomalous wave-packet dynamics in non-Hermitian systems
• Unveiling the Enhancement of Spontaneous Emission at Exceptional Points
• Non-Hermitian Aubry-André model with Power-Law Hopping
• Topological input-output theory for directional amplification
• Multi-dimensional band structure spectroscopy in the synthetic frequency dimension
• Non-Hermitian skin effect in magnetic systems
• Non-Hermitian Topological End-Mode Lasing in Polariton Systems
• Finite temperature dynamical quantum phase transition in a non-Hermitian system
• Defective Majorana zero modes in non-Hermitian Kitaev chain
• Non-Hermitian Majorana modes protect degenerate steady states
• Non-Hermitian dislocation modes: Stability and melting across exceptional points
• Symmetry and topological classification of Floquet non-Hermitian systems
• Geometry-dependent skin effects in reciprocal photonic crystals
• Non-Hermitian higher-order topological superconductors in two-dimension: statics and dynamics
• Unconventional scaling at non-Hermitian critical points
• Biorthogonal Dynamical Quantum Phase Transitions in Non-Hermitian Systems
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Bulk and edge-state arcs in non-hermitian coupled-resonator arrays
• Non-Hermitian Dynamic Strings and Anomalous Topological Degeneracy on non-Hermitian Toric-code Model with Parity-time Symmetry
• Restoration of the non-Hermitian bulk-boundary correspondence via topological amplification
• Non-Hermitian phase transition and eigenstate localization induced by asymmetric coupling
• Bulk-boundary correspondence in point-gap topological phases
• Properties of the non-Hermitian SSH model: role of PT-symmetry
• Emergent phase transition in Cluster Ising model with dissipation
• Connections between the Open-boundary Spectrum and Generalized Brillouin Zone in Non-Hermitian Systems
• Inversion symmetric non-Hermitian Chern insulator
• Circuit realisation of a two-orbital non-Hermitian tight-binding chain
• Spectral Properties of Disordered Interacting Non-Hermitian Systems
• Machine learning topological invariants of non-Hermitian systems
• Topological origin of quantized transport in non-Hermitian Floquet chains
• Non-Hermitian anomalous skin effect
• Non-Hermitian topology of one-dimensional spin-torque oscillator arrays
• Non-Hermitian topology in monitored quantum circuits
• Non-Hermitian elastic waveguides with piezoelectric feedback actuation: non-reciprocal bands and skin modes
• Topology in non-Hermitian Chern insulators with skin effect
• Topological energy braiding of the non-Bloch bands
• Entanglement Spectrum Crossings Reveal non-Hermitian Dynamical Topology
• Partial topological Zak phase and dynamical confinement in non-Hermitian bipartite system
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Non-Hermitian Maryland Model
• Entanglement Entropy of Non-Hermitian Free Fermions
• Boundary Condition Independence of Non-Hermitian Hamiltonian Dynamics
• Topological synchronization of coupled nonlinear oscillators
• Chern insulators for electromagnetic waves in electrical circuit networks
• Lieb-Schultz-Mattis Theorem in Open Quantum Systems
• Interaction induced bi-skin effect in an exciton-polariton system
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Symmetry Indicators for Inversion-Symmetric Non-Hermitian Topological Band Structures
• Topology protects chiral edge currents in stochastic systems
• Anomaly in dynamical quantum phase transition in non-Hermitian system with extended gapless phases
• Cyclotron quantization and mirror-time transition on nonreciprocal lattices
• Exceptional points make an astroid in non-Hermitian Lieb lattice: evolution and topological protection
• Classification of topological phases in one dimensional interacting non-Hermitian systems and emergent unitarity
• Universal platform of point-gap topological phases from topological materials
• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Level statistics of extended states in random non-Hermitian Hamiltonians
• Comparative study of Hermitian and non-Hermitian topological dielectric photonic crystals
• Exceptional points in lossy media enable decay-free wave propagation
• Topological invariants, zero mode edge states and finite size effect for a generalized non-reciprocal Su-Schrieffer-Heeger model
• Always-Real-Eigenvalued Non-Hermitian Topological Systems
• Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems
• Angle-Resolved Thermal Emission Spectroscopy Characterization of Non-Hermitian Meta-Crystals
• General corner states in 2D SSH model with intracelluar next-nearest-neighbour hopping
• Observation of Quantum metric and non-Hermitian Berry curvature in a plasmonic lattice
• Topological near fields generated by topological structures
• Classifying topology in photonic heterostructures with gapless environments
• Quadratic pseudospectrum for identifying localized states
• Real spectra in non-Hermitian topological insulators
• Skin modes in a nonlinear Hatano-Nelson model
• Solvable non-Hermitian skin effect in many-body unitary dynamics
• Exact Mobility Edges and Topological Phase Transition in Two-Dimensional non-Hermitian Quasicrystals
• Landau-Zener-Stückelberg Interferometry in $\mathcal{P}\mathcal{T}$-symmetric Non-Hermitian models
• Exceptional points in the one-dimensional Hubbard model
• Non-Hermitian quantum systems and their geometric phases
• Non-Hermitian pseudo mobility edge in a coupled chain system
• Controlling Exceptional Points with Light
• The topological counterparts of non-Hermitian SSH models
• Symmetry-protected exceptional and nodal points in non-Hermitian systems
• Floquet engineering and simulating exceptional rings with a quantum spin system
• Amplification of quantum signals by the non-Hermitian skin effect
• On the time evolution at a fluctuating exceptional point
• Exponentially growing bulk Green functions as signature of nontrivial non-Hermitian winding number in one dimension
• Diagnosis of bulk phase diagram of non-reciprocal topological lattices by impurity modes
• Topology of multipartite non-Hermitian one-dimensional systems
• Manipulating non-Hermitian skin effect via electric fields
• Observation of Floquet topological phases with large Chern numbers
• Bound states and photon emission in non-Hermitian nanophotonics
• Anatomy of open-boundary bulk in multiband non-Hermitian systems
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• Topological enhancement of non-normality in non-Hermitian skin effects
• Experimental observation of exceptional bound states in a classical circuit network
• Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models
• Non-Hermitian spatial symmetries and their stabilized normal and exceptional topological semimetals
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Wannier-type photonic higher-order topological corner states induced solely by gain and loss
• Activity-induced phase transition in a quantum many-body system
• Dynamical robustness of topological end states in nonreciprocal Su-Schrieffer-Heeger models with open boundary conditions
• Generalized Berry phase for a bosonic Bogoliubov system with exceptional points
• Exceptional points and their coalescence of PT-symmetric interface states in photonic crystals
• Bulk-edge correspondence for nonlinear eigenvalue problems
• Out-of-time-ordered correlator in non-Hermitian quantum systems
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• $\eta$-pairing ground states in the non-Hermitian Hubbard model
• Non-Hermitian topological end breathers
• Optical torque on a two-level system near a strongly nonreciprocal medium
• Geometry and superfluidity of the flat band in a non-Hermitian optical lattice
• A brief review of hybrid skin-topological effect
• The Bulk-boundary Correspondence in Non-Hermitian Hopf-link Exceptional Line Semimetals
• Topological phase in plasma physics
• Generalized Quantum Geometric Tensor in a Non-Hermitian Exciton-Polariton System
• Polarization and entanglement spectrum in non-hermitian systems
• Light-driven Lifshitz transitions in non-Hermitian multi-Weyl semimetals
• Non-Hermitian Weyl semimetal and its Floquet engineering
• Topological optomechanical amplifier with synthetic $\mathcal{P}\mathcal{T}$-symmetry
• Non-Hermitian phase-biased Josephson junctions
• Non-Hermitian topology in rock-paper-scissors games
• Edge theory of non-Hermitian skin modes in higher dimensions
• Disorder-induced exceptional and hybrid rings in Weyl/Dirac semimetals
• Quantum dynamics on a lossy non-Hermitian lattice
• Symmetry-protected quantization of complex Berry phases in non-Hermitian many-body systems
• Quantized Angular Momentum in Topological Optical Systems
• Topological Microlaser with A non-Hermitian Topological Bulk
• Dissipation-induced topological transitions in continuous Weyl materials
• Simulation of higher-order topological phases in 2D spin-phononic crystal networks
• Nontrivial topology in the continuous spectrum of a magnetized plasma
• Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
• Degeneracy and defectiveness in non-Hermitian systems with open boundary
• Magnetically-defined topological edge plasmons in edgeless electron gas
• Observation of a topological edge state stabilized by dissipation
• Non-Hermitian Topology in Hermitian Topological Matter
• Interaction effects on $\mathcal{P}\mathcal{T}$-symmetry breaking transition in atomic gases
• Non-Hermitian skin effect induced by Rashba-Dresselhaus spin-orbit coupling
• Fate of exceptional points under interactions: Reduction of topological classifications
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Topological delocalization transitions and mobility edges in the nonreciprocal Maryland model
• Exceptional Cones in 4D Parameter Space
• Probing non-Hermitian phase transitions in curved space via quench dynamics
• Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
• Experimental realization of stable exceptional chains protected by non-Hermitian latent symmetries unique to mechanical systems
• Topological Protection in non-Hermitian Haldane Honeycomb Lattices
• Non-Hermitian CT-Symmetric Spectral Protection of Nonlinear Defect Modes
• Non-linear dynamics of the non-Hermitian Su-Schrieffer-Heeger model
• Hybrid scale-free skin effect in non-Hermitian systems: A transfer matrix approach
• Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical $K$-Theory
• Emergent Mott insulators and non-Hermitian conservation laws in an interacting bosonic chain with noninteger filling and nonreciprocal hopping
• Machine learning non-Hermitian topological phases
• Irrational Non-Abelian Statistics for Non-Hermitian Generalization of Majorana Zero Modes
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Symmetry-induced higher-order exceptional points in two dimensions
• Kinked linear response from non-Hermitian cold-atom pumping
• Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
• Hexagonally warped exceptional physics in multi-Weyl semimetals
• Damping transition in an open generalized Aubry-André-Harper model
• Non-Hermitian eigenvalue knots and their isotopic equivalence
• Anomalous Andreev Spectrum and Transport in Non-Hermitian Josephson Junctions
• Topological characterization of non-Hermitian multiband systems using Majorana's Stellar Representation
• Topological triple phase transition in non-Hermitian quasicrystals with complex asymmetric hopping
• Modified Generalized-Brillouin-Zone Theory with On-site Disorders
• Non-Abelian Braiding of Topological Edge Bands
• Unsupervised Learning of Topological Non-Abelian Braiding in Non-Hermitian Bands
• Ramsey interferometry of non-Hermitian quantum impurities
• Condition for the emergence of a bulk Fermi arc in disordered Dirac-fermion systems
• Non-Hermitian spectral flows and Berry-Chern monopoles
• Topological transport in the steady state of a quantum particle with dissipation
• Multiplicative topological phases
• Non-Hermitian quantum system generated from two coupled Sachdev-Ye-Kitaev models
• Critical non-Hermitian topology induced quantum sensing
• Making topologically trivial non-Hermitian systems nontrivial via gauge fields
• Topological properties of a non-Hermitian quasi-1D chain with a flat band
• Real spectra, Anderson localization, and topological phases in one-dimensional quasireciprocal systems
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Symmetry-protected localized states at defects in non-Hermitian systems
• Emergent conservation in Floquet dynamics of integrable non-Hermitian models
• Statistical properties of eigenvalues of the non-Hermitian Su-Schrieffer-Heeger model with random hopping terms
• Exceptional points as signatures of dynamical magnetic phase transitions
• Non-Hermitian edge burst without skin localizations
• Non-Hermitian topological phase transitions for quantum spin Hall insulators
• Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians
• Extension of Noether's theorem in PT-symmetric systems and its experimental demonstration in an optical setup
• Quantum phase transition in a non-Hermitian XY spin chain with global complex transverse field
• Unsupervised learning of topological phase diagram using topological data analysis
• Non-Hermitian second-order topological superconductors
• Topological properties of non-Hermitian Creutz Ladders
• Wideband tunable infrared topological plasmon polaritons in dimerized chains of doped-silicon nanoparticles
• Emergence of tunable exceptional points in altermagnet-ferromagnet junctions
• Finite-size Topology
• Smooth self-energy in the exact-diagonalization-based dynamical mean-field theory: Intermediate-representation filtering approach
• Robust edge states induced by electron-phonon interaction in graphene nanoribbons
• Topological Classification of Excitations in Quadratic Bosonic Systems
• Universal characteristics of one-dimensional non-Hermitian superconductors
• Hinge Magnons from Non-collinear Magnetic Order in Honeycomb Antiferromagnet
• Engineering Interaction Dynamics in Active Resonant Photonic Structures
• Topological Dissipative Photonics and Topological Insulator Lasers in Synthetic Time-Frequency Dimensions
• Universal Hall conductance scaling in non-Hermitian Chern insulators
• Non-Hermitian Avalanche Effect: Non-Perturbative Effect Induced by Local Non-Hermitian Perturbation on a Z2 Topological Order
• Exponentially Enhanced non-Hermitian Cooling
• Non-Hermitian Hartman effect
• Dirac Points Embedded in the Continuum
• Bulk-edge correspondence and stability of multiple edge states of a $\mathcal{P}\mathcal{T}$ symmetric non-Hermitian system by using non-unitary quantum walks
• Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
• Non-Hermitian higher-Order Weyl semimetal with surface diabolic points
• Thermal plasmon resonantly enhances electron scattering in Dirac/Weyl semimetals
• Modulational Instability and Dynamical Growth Blockade in the Nonlinear Hatano-Nelson Model
• Braiding Topology of Non-Hermitian Open-Boundary Bands
• Quantum entanglement and non-Hermiticity in free-fermion systems
• Spectral structure and doublon dissociation in the two-particle non-Hermitian Hubbard model
• Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices
• Topology of rotating stratified fluids with and without background shear flow
• Terahertz topological plasmon polaritons for robust temperature sensing
• Stable Bloch oscillations and Landau-Zener tunneling in a non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric flat band lattice
• Alice string in Non-Hermitian Systems
• Identifying gap-closings in open non-Hermitian systems by Biorthogonal Polarization
• Two-dimensional non-Hermitian topological phases induced by asymmetric hopping in a one-dimensional superlattice
• Pseudospin-orbit coupling and non-Hermitian effects in the Quantum Geometric Tensor of a plasmonic lattice
• Emerging exceptional point with breakdown of skin effect in non-Hermitian systems
• Stability and collisions of quantum droplets in PT -symmetric dual-core couplers
• Inducing a many-body topological state of matter through Coulomb-engineered local interactions
• Topological Green function of interacting systems
• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
• Two-dimensional anisotropic non-Hermitian Lieb lattice
• Symmetric non-Hermitian skin effect with emergent nonlocal correspondence
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• Nontrivial worldline winding in non-Hermitian quantum systems
• Complexity of Fermionic Dissipative Interactions and Applications to Quantum Computing
• Quantum theory of non-Hermitian optical binding between nanoparticles
• Non-Bloch PT symmetry breaking: Universal threshold and dimensional surprise
• Gain/loss effects on spin-orbit coupled ultracold atoms in two-dimensional optical lattices
• Anomalous dynamical response of non-Hermitian topological phases
• Unravelling the edge spectra of non-Hermitian Chern insulators
• State-dependent Topological Invariants and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
• Controlling the Deformation of Metamaterials: Corner Modes via Topology
• Hermitian Topologies originating from non-Hermitian braidings
• Protection of all nondefective twofold degeneracies by anti-unitary symmetries in non-Hermitian systems
• Nonlinear perturbation of a high-order exceptional point: skin discrete breathers and the hierarchical power-law scaling
• Constraints of internal symmetry on the non-Hermitian skin effect and bidirectional skin effect under the action of the Hermitian conjugate of time-reversal symmetry
• Quantum probing topological phase transitions by non-Markovianity
• Exceptional points and scattering of discrete mechanical metamaterials
• Quantum metric dependent anomalous velocity in systems subject to complex electric fields
• Imaginary gap-closed points and dynamics in a class of dissipative systems
• Selective and tunable excitation of topological non-Hermitian skin modes
• Versatile Braiding of Non-Hermitian Topological Edge States
• Direct observation of energy band attraction effect in non-Hermitian systems
• Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
• Coexistence of stable and unstable population dynamics in a nonlinear non-Hermitian mechanical dimer
• Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
• Multifractality of many-body non-Hermitian skin effect
• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Role of Topology in Relaxation of One-Dimensional Stochastic Processes
• Non-Hermitian boost deformation
• Critical and non critical non-Hermitian topological phase transitions in one dimensional chains
• Topological band theory of a generalized eigenvalue problem with Hermitian matrices: Symmetry-protected exceptional rings with emergent symmetry
• Fingerprint of Non-Hermiticity in d-wave Altermagnet
• Topological skyrmion phases of matter
• Fate of non-Hermitian free fermions with Wannier-Stark ladder
• Complex semiclassical theory for non-Hermitian quantum systems
• Extended imaginary gauge transformation in a general nonreciprocal lattice
• Surface exceptional points in a topological Kondo insulator
• Andreev non-Hermitian Hamiltonian for open Josephson junctions from Green's functions
• Analysis of Dirac exceptional points and their isospectral Hermitian counterparts
• Magnetic Flux Response of Non-Hermitian Topological Phases
• Persistent anomaly in dynamical quantum phase transition in long-range non-Hermitian $p$-wave Kitaev chain
• Non-Hermitian three-dimensional two-band Hopf insulator
• Non-Hermitian band topology from momentum-dependent relaxation in two-dimensional metals with spiral magnetism
• Discriminant indicators with generalized inversion symmetry
• Floquet topological phase in a generalized PT-symmetric lattice
• Equivalence and superposition of real and imaginary quasiperiodicities
• The non-Hermitian geometrical property of 1D Lieb lattice under Majorana's stellar representation
• Anomalous second-order skin modes in Floquet non-Hermitian systems
• Extrinsic Mechanisms of Phonon Magnetic Moment
• Relationship between the Electronic Polarization and the Winding Number in Non-Hermitian Systems
• Information constraint in open quantum systems
• A symmetry-protected exceptional ring in a photonic crystal with negative index media
• Detecting bulk and edge exceptional points in non-Hermitian systems through generalized Petermann factors
• Biorthogonal topological charge pumping in non-Hermitian systems
• Effective impurity behavior emergent from non-Hermitian proximity effect
• Soft topological modes protected by symmetry in rigid mechanical metamaterials
• Multitude of exceptional points in van der Waals magnets
• Interplay between tilt, disorder, and Coulomb interaction in type-I Dirac fermions
• Non-Hermitian semi-Dirac semi-metals
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- Part I: Chiral number of zero-modes
• Universal spectral moment theorem and its applications in non-Hermitian systems
• Concentrated subradiant modes in one-dimensional atomic array coupled with chiral waveguides
• Quantum quenches in a pseudo-Hermitian Chern insulator
• Edge states in a non-Hermitian topological crystalline insulator
• Hilbert space fragmentation imposed real spectrum of non-Hermitian systems
• Anomalous pumping in the non-Hermitian Rice-Mele model
• Non-Hermitian Quantum Fractals
• Tailoring Bound State Geometry in High-Dimensional Non-Hermitian Systems
• Electric polarization and its quantization in one-dimensional non-Hermitian chains
• Floquet engineering flat bands for bosonic fractional quantum Hall in small lattices
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Competing topological phases in a non-Hermitian time-reversal symmetry-broken Bernevig-Hughes-Zhang model
• Topological Insulators with Hybrid-order Boundary States
• Topological study of a Bogoliubov-de Gennes system of pseudo spin-$1/2$ bosons with conserved magnetization in a honeycomb lattice
• Complete absorption of topologically protected waves
• Pseudo-time-reversal-symmetry-protected topological Bogoliubov excitations of Bose-Einstein condensates in optical lattices
• Collective optical properties of moiré excitons
• Selection Rule for Topological Amplifiers in Bogoliubov de Gennes Systems
• Defective Edge states and Anomalous Bulk-boundary Correspondence for Topological Insulators under Non-Hermitian Similarity Transformation
• $\mathcal{P}\mathcal{T}$ symmetry of a square-wave modulated two-level system
• Weyl points and exceptional rings with polaritons in bulk semiconductors
• Geometric contribution to adiabatic amplification in non-Hermitian systems
• General theory for infernal points in non-Hermitian systems
• Protection of Correlation-Induced Phase Instabilities by Exceptional Susceptibilities
• Non-Bloch dynamics and topology in a classical non-equilibrium process
• Real spectra in one-dimensional single-band non-Hermitian Hamiltonians
• Controlled probing of localization effects in the non-Hermitian Aubry-André model via topolectrical circuits
• Parametric amplification of topological interface states in synthetic Andreev bands
• Exotic Topology in Ordinary Soft Matter
• Quantum circuit for measuring an operator's generalized expectation values and its applications to non-Hermitian winding numbers
• Defect bulk-boundary correspondence of topological skyrmion phases of matter
• Anomalous Hall effect from a non-Hermitian viewpoint
• Topological invariants of complex energy plane in non-Hermitian systems
• Non-Hermitian superconducting diode effect
• Exceptional magic angles in non-Hermitian twisted bilayer graphene
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• Towards the theory of types III and IV non-Hermitian Weyl fermions
• Topological Invariant for Multi-Band Non-hermitian Systems with Chiral Symmetry
• Non-Bloch Theory for Spatiotemporal Photonic Crystals Assisted by Continuum Effective Medium
• Topological Singularities in Metasurface Scattering Matrices: From Nodal Lines to Exceptional Lines
• The Quantum Skin Hall Effect
• Efimov physics in the complex plane
• Anomalous hybridization of spectral winding topology in quantized steady-state responses
• A topological classification of molecules and chemical reactions with a perplectic structure
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Topological states at exceptional points
• Emergent localized states at the interface of a twofold $\mathcal{P}\mathcal{T}$-symmetric lattice
• Quantum geometry and $X$-wave magnets with $X=p,d,f,g,i$
• Generalized topological bulk-edge correspondence in bulk-Hermitian continuous systems with non-Hermitian boundary conditions
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Characterizing phase transitions and criticality in non-Hermitian extensions of the XY model
• Quantum Sensing with Driven-Dissipative Su-Schrieffer-Heeger Lattices
• Electronic polarization in non-Bloch band theory
• Topological Classificaton of Non-Hermitian Gapless Phases: Exceptional Points and Bulk Fermi Arcs
• Gain-loss-induced non-Abelian Bloch braids
• Topological Phase Transition of A Non-Hermitian Crosslinked Chain
• Measuring Non-Hermitian Topological Invariants Directly from Quench Dynamics
• One-dimensional non-Hermitian band structures as Riemann surfaces
• Machine learning of mirror skin effects in the presence of disorder
• Spectrum collapse of disordered Dirac Landau levels as topological non-Hermitian physics
• Realization of geometric phase topology induced by multiple exceptional points
• Super-enhanced Sensitivity in Non-Hermitian Systems at Infernal Points
• Non-Quantized Edge Channel Conductance and Zero Conductance Fluctuation in Non-Hermitian Chern Insulators
• Exceptional Heavy-Fermion Semimetals in Three Dimensions
• Emergence of exceptional points and their spectroscopic signature in Dirac semimetal-dirty Superconductor heterojunction
• Non-Hermitian $C_{NH}=2$ Chern insulator protected by generalized rotational symmetry
• Enhancement of signal-to-noise ratio at a high-order exceptional point of coherent perfect absorption
• Unconventional quantum criticality in a non-Hermitian extended Kitaev chain
• Spontaneous Formation of Exceptional Points at the Onset of Magnetism
• Antichiral and trap-skin dynamics in a nonreciprocal bosonic two-leg ladder with artificial magnetic flux
• Winding Topology of Multifold Exceptional Points
• Entanglement Spectrum Dynamics as a Probe for Non-Hermitian Bulk-Boundary Correspondence in Systems with Periodic Boundaries
• Quantized electrical, thermal, and spin transports of non-Hermitian clean and dirty two-dimensional topological insulators and superconductors
• Ring-Frustrated Non-Hermitian $XY$ Model
• $K$-theory classification of Wannier localizability and detachable topological boundary states
• Observation of Braid-Protected Unpaired Exceptional Points
• Exceptional second-order topological insulators
• Topological classifications of quadratic bosonic excitations in closed and open systems with examples
• Mobility rings in a non-Hermitian non-Abelian quasiperiodic lattice
• Duality between Generalized Non-Hermitian HN Model in Flat Space and Hermitian System in Curved space
• Theory for the spectral splitting exponent of exceptional points
• Non-Hermitian theory of valley excitons in two-dimensional semiconductors
• Delocalization of interacting directed polymers on a periodic substrate: Localization length and critical exponents from non-Hermitian spectra
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Heat transport through an open coupled scalar field theory hosting stability-to-instability transition
• Discriminant indicator with generalized rotational symmetry
• Topological characteristics of gap closing points in nonlinear Weyl semimetals
• Counterdiabatic driving for pseudo- and antipseudo- Hermitian systems
• Exact solutions of non-Hermitian chains with asymmetric long-range hopping under specific boundary conditions
• Entanglement entropy distinguishes PT-symmetry and topological phases in a class of non-unitary quantum walks
• Emergent Topology in Many-Body Dissipative Quantum Matter
• Disorder-induced phase transitions in double HgTe quantum wells
• Model non-Hermitian topological operators without skin effect: A general principle of construction
• Recent advances in the combination of nonlinearity and exceptional points
• Controllable suppression of Non-Hermitian skin effects
• Band structures under non-Hermitian periodic potentials: Connecting nearly-free and bi-orthogonal tight-binding models
• Pseudo-Hermitian Topology of Multiband Non-Hermitian Systems
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Quantum geometrical effects in non-Hermitian systems
• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
• Direct Measurement of a Non-Hermitian Topological Invariant in a Hybrid Light-Matter System
• Non-Hermitian physics and engineering in silicon photonics
• Dissipative frequency converter: from Lindblad dynamics to non-Hermitian topology
• Phase Diagram of a Non-Hermitian Chern Insulator: Destabilization of Chiral Edge States and Bulk-Boundary Correspondence
• Topological Engineering of High-Order Exceptional Points through Transformation Optics
• Photonic emulation of two-dimensional materials with antiferromagnetic order
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Alternating quantum-emitter chains: Exceptional-point phase transition, edge state, and quantum walks
• Quasiparticle picture of topological phase transitions induced by interactions
• Exceptional topology in non-Hermitian twisted bilayer graphene
• Direct measurement of the quantum geometric tensor in pseudo-Hermitian systems
• A non-Hermitian Su-Schrieffer-Heeger model with the energy levels of free parafermions
• Exceptional mode topological surface laser
• Wave propagation in an elastic lattice with non-reciprocal stiffness and engineered damping
• Zero modes of velocity field and topological invariant in quantum torus
• Topological Properties of Single-Particle States Decaying into a Continuum due to Interaction
• Interactions-disorder duality and critical phenomena in nodal semimetals, dilute gases and other systems
• Measuring topological invariants of even-dimensional line-gapped non-Hermitian systems through quench dynamics
• Breakdown of Bulk-Radiation Correspondence in Radiative Photonic Lattices
• Non-Hermitian Hopf insulators
• Coherent transfer of topological domain walls
• Nonequilibrium electron distribution function in a voltage-biased nanowire: A nonequilibrium Green's function approach
• Exceptional Non-Hermitian Topology Associated with Non-Toroidal Brillouin Zones
• Diagonal Entropy and Topological Phase Transitions in Extended Kitaev Chains
• Band topology of pseudo-Hermitian phases through tensor Berry connections and quantum metric
• Non-Abelian geometry, topology, and dynamics of a nonreciprocal Su-Schrieffer-Heeger ladder
• Diffusive Topological Transport in Spatiotemporal Thermal Lattices
• Unconventional Weyl exceptional contours in non-Hermitian photonic continua
• Topologically induced transparency in a two-phase metamaterial
• Non-Hermitian Topoelectrical Circuits: Expedient Tools for Topological State Engineering with Gain-Loss Modulation
• Topological spin textures in electronic non-Hermitian systems
• Nonequilibrium protection effect and spatial localization of noise-induced fluctuations: Quasi-one-dimensional driven lattice gas with partially penetrable obstacle
• Local Non-Hermitian Hamiltonian Formalism for Dissipative Fermionic Systems and Loss-Induced Population Increase in Fermi Superfluids
• Impurity flat band states in the diamond chain
• Exceptional Points, Bulk-Boundary Correspondence, and Entanglement Properties for a Dimerized Hatano-Nelson Model with Staggered Potentials
• Experimental observation of energy-band Riemann surface
• Monopoles in non-Hermitian systems
• Machine learning topological energy braiding of non-Bloch bands
• Observation of novel robust edge states without bulk-boundary correspondence in non-Hermitian quantum walks
• Experimental Realization of Non-Abelian Permutations in a Three-State Non-Hermitian System
• Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials
• Loss-driven gain enhancements driven by topological singularities in non-Hermitian photonic crystals defects
• Size-Dependent Skin Effect Transitions in Weakly Coupled Non-Reciprocal Chains
• Entanglement manifestation of knot topology in a non-Hermitian lattice
• Topological Phases in Non-Hermitian Nonlinear-Eigenvalue Systems
• Non-Hermitian higher-order topological insulators enabled by altermagnet engineering
• Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su-Schrieffer-Heeger Model with Nonreciprocal Hoppings
• Non-Hermitian topological wall modes in rotating Rayleigh-Benard convection
• Dynamical transition in non-Hermitian Chern insulator
• Critical properties in the non-Hermitian Aubry-Andre-Stark model
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
• Higher-order Topological Knots and the classification of non-Hermitian lattices under $C_n$ symmetry
• Anatomy of Higher-Order Non-Hermitian Skin and Boundary Modes
• Non-Hermitian magnetic moment
• Disorder-driven exceptional points and concurrent topological phase transitions in non-Hermitian systems
• Real spectra and phase transition of skin effect in nonreciprocal systems
• Topological photonics in nanoscaled systems with far field radiation and polarization singularities
• Recent progress on disorder-induced topological phases
• Scattering Dynamics and Boundary States of a Non-Hermitian Dirac Equation
• Nodal Spectral Functions Stabilized by Non-Hermitian Topology of Quasiparticles
• Tunable chiral spiral phases in a non-Hermitian Ising-Gamma spin chain
• Semiclassical analysis of spin dynamics in the non-Hermitian Hubbard model
• Topological invariant of velocity field in quantum systems
• Braiding of dynamical eigenvalues of Hermitian bosonic Kitaev chains
• 1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction
• Non-Hermitian Effects in the Su-Schrieffer-Heeger model: Exploring Substrate Coupling and Decoupling Dynamics
• Winding-control mechanism of non-Hermitian systems
• Liouvillian skin effects in two-dimensional electron systems at finite temperatures
• A new Berry phase term in parity-time symmetric non-Hermitian spin-1/2 quantum systems
• Geometric criterion of topological phase transition for non-Hermitian systems
• Tunable Topological Phases in Quantum Kirigamis
• Non-Hermitian physics and topological phenomena in convective thermal metamaterials
• Illuminating the bulk-boundary correspondence of a non-Hermitian stub lattice with Majorana stars
• Floquet multiple exceptional points with higher-order skin effect
• Application of Jordan Decomposition to Non-Hermitian Lattice Models with Spectrally-Isolated Lower Dimensional States
• Hall conductance of a non-Hermitian two-band system with k-dependent decay rates
• Exceptional rings in nonlinear non-Hermitian planar optical microcavities: implementation, signal enhancement, and topology
• Topological Classification of Gapped/Gap-preserving Rational Space-Time Crystal Systems
• Non-orientable Exceptional Points in Twisted Boundary Systems
• Chiral Magnons: Mechanisms and Research Progress
• Interferometric Geometric Phases of $\mathcal{P}\mathcal{T}$-symmetric Quantum Mechanics
• Exceptional flat bands in bipartite non-Hermitian lattices
• Antiferromagnetism and spin excitations in a two-dimensional non-Hermitian Hatano-Nelson flux model
• Nonreciprocity Induced Fractional Nonlinear Thouless Pumping
• Covariant formulation of the Berry connection in non-Hermitian systems
• Physical constraints on effective non-Hermitian systems
• Supercharging exceptional points: Full-spectrum pairwise coalescence in non-Hermitian systems
• Exceptional topology on nonorientable manifolds
• Quantifying non-Hermiticity using single- and many-particle quantum properties
• Probing phase transitions in non-Hermitian systems with quantum entanglement
• Zero Indirect Band Gap in Non-Hermitian Systems
• Magnetic field effects on the Kitaev model coupled to environment
• Anomalous Point-Gap Interactions Unveil the Mirage Bath
• Self-healing of non-Hermitian topological skin modes
• Non-Hermitian topology in molecules: Prediction of fractional quantum number
• Supermetal-insulator transition in a non-Hermitian network model
• Physical relevance of time-independent scattering calculations in non-Hermitian systems: The role of time-growing bound states
• Continuum Landau surface states in a non-Hermitian Weyl semimetal
• Symmetry and Topology of Successive Quantum Feedback Control
• Non-Hermitian Higher-Order Weyl Semimetals
• Dissipative Yao-Lee Spin-Orbital Model: Exact Solvability and $\mathcal{P}\mathcal{T}$ Symmetry Breaking