Classification of Exceptional Points and Non-Hermitian Topological Semimetals

Abstract

Exceptional points are universal level degeneracies induced by non-Hermiticity. Whereas past decades witnessed their new physics, the unified understanding has yet to be obtained. Here we present the complete classification of generic topologically stable exceptional points according to two types of complex-energy gaps and fundamental symmetries of charge conjugation, parity, and time reversal. This classification reveals unique non-Hermitian gapless structures with no Hermitian analogs and systematically predicts unknown non-Hermitian semimetals and nodal superconductors; a topological dumbbell of exceptional points in three dimensions is constructed as an illustration. Our work paves the way toward richer phenomena and functionalities of exceptional points and non-Hermitian topological semimetals.

arXiv comment7+16 pages, 2+1 figures, 1+10 tables

References in corpus (104)

• Topological Insulators
• Topological insulators and superconductors
• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Classification of topological insulators and superconductors in three spatial dimensions
• Making Sense of Non-Hermitian Hamiltonians
• Classification of topological quantum matter with symmetries
• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Weyl Semimetal in a Topological Insulator Multilayer
• Edge states and topological invariants of non-Hermitian systems
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Complex Extension of Quantum Mechanics
• Dirac semimetal in three dimensions
• Topological nodal semimetals
• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Localization transitions in non-Hermitian quantum mechanics
• Topological phases of non-Hermitian systems
• The physics of exceptional points
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Band Theory for Non-Hermitian Hamiltonians
• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
• Anomalous edge state in a non-Hermitian lattice
• Topological energy transfer in an optomechanical system with exceptional points
• Lasing in topological edge states of a 1D lattice
• Non-Hermitian Chern bands
• Spawning rings of exceptional points out of Dirac cones
• Pseudo-Hermiticity versus PT-Symmetry II: A complete characterizatio n of non-Hermitian Hamiltonians with a real spectrum
• Anatomy of skin modes and topology in non-Hermitian systems
• Pseudo-Hermiticity versus PT-Symmetry III: Equivalence of pseudo-Her miticity and the presence of antilinear symmetries
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Probing topological invariants in the bulk of a non-Hermitian optical system
• Vortex Pinning and Non-Hermitian Quantum Mechanics
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
• Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Topology of crystalline insulators and superconductors
• Edge states and topological phases in non-Hermitian systems
• Second-Order Topological Phases in Non-Hermitian Systems
• Topological Transition in a Non-Hermitian Quantum Walk
• Topological phase transition in non-Hermitian quasicrystals
• Metrology with $\mathcal{P}\mathcal{T}$-symmetric cavities: Enhanced sensitivity near the $\mathcal{P}\mathcal{T}$-phase transition
• Observation of parity-time symmetry breaking in a single spin system
• Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
• Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
• Non-Hermitian Quantum Sensing: Fundamental Limits and Non-Reciprocal Approaches
• Time-reversal invariant realization of the Weyl semimetal phase
• Classification of reflection symmetry protected topological semimetals and nodal superconductors
• Non-Hermitian Delocalization and Eigenfunctions
• Stability of Fermi Surfaces and K-Theory
• Photonic Topological Insulating Phase Induced Solely by Gain and Loss
• Fermi Surface Topological Invariants for Time Reversal Invariant Superconductors
• Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
• Exceptional rings in two-dimensional correlated systems with chiral symmetry
• Absence of topological insulator phases in non-Hermitian PT-symmetric Hamiltonians
• Quantum Oscillation from In-gap States and non-Hermitian Landau Level Problem
• Non-Hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence
• Weyl superconductors
• Symmetry-protected nodal phases in non-Hermitian systems
• Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
• Information Retrieval and Criticality in Parity-Time-Symmetric Systems
• Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
• Non-Hermitian systems and topology: A transfer-matrix perspective
• Phase-dependent chiral transport and effective non-Hermitian dynamics in a bosonic Kitaev-Majorana chain
• Heralded magnetism in non-Hermitian atomic systems
• Protected boundary states in gapless topological phases
• Topological Classification and Stability of Fermi Surfaces
• Anomalous helical edge states in a non-Hermitian Chern insulator
• Flat Band in Disorder Driven Non-Hermitian Weyl Semimetals
• Exceptional Surfaces in PT-Symmetric Photonic Systems
• Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
• Non-Hermitian Hopf-Link Exceptional Line Semimetals
• Parity-time-symmetric topological superconductor
• Unified theory of PT and CP invariant topological metals and nodal superconductors
• Exceptional Links and Twisted Fermi Ribbons in non-Hermitian Systems
• Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence
• $PT$ Symmetric Real Dirac Fermions and Semimetals
• Effects of non-Hermitian perturbations on Weyl Hamiltonians with arbitrary topological charges
• Topological non-Hermitian origin of surface Maxwell waves
• Nodal Arc in Disordered Dirac Fermions: Connection to Non-Hermitian Band Theory
• Knotted Non-Hermitian Metals
• Non-Hermitian Topological Theory of Finite-Lifetime Quasiparticles: Prediction of Bulk Fermi Arc Due to Exceptional Point
• Topological symmetry classes for non-Hermitian models and connections to the bosonic Bogoliubov-de Gennes equation
• Topological Blount's theorem of odd-parity superconductors
• Weyl and Dirac semimetals with Z_2 topological charge
• Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals
• Surface and 3D quantum Hall effects from engineering of exceptional points in nodal-line semimetals
• Time-Reversal Symmetry in Non-Hermitian Systems
• Loss of Hall Conductivity Quantization in a Non-Hermitian Quantum Anomalous Hall Insulator
• Topological protection from exceptional points in Weyl and nodal line semimetals
• A Classification of Non-Hermitian Random Matrices
• The Kibble-Zurek mechanism at exceptional points
• Revealing a topological connection between stabilities of Fermi surfaces and topological insulators/superconductors
• Disorder-induced exceptional points and nodal lines in Dirac superconductors
• Topology and exceptional points of massive Dirac models with generic non-Hermitian perturbations
• Topological Crystalline Materials of $J=3/2$ Electrons: Antiperovskites, Dirac points, and High Winding Topological Superconductivity
• Macroscopic degeneracy of zero-mode rotating surface states in 3D Dirac and Weyl semimetals under radiation
• Nodal Manifolds Bounded by Exceptional Points on Non-Hermitian Honeycomb Lattices and Electrical-Circuit Realizations
• The Nielsen-Ninomiya theorem, PT-invariant non-Hermiticity and single 8-shaped Dirac cone

Cited by in corpus (263)

• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Topological Origin of Non-Hermitian Skin Effects
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Non-Hermitian skin effect and chiral damping in open quantum systems
• Non-Hermitian Topology and Exceptional-Point Geometries
• Non-Hermitian Topological Invariants in Real Space
• Critical non-Hermitian Skin Effect
• Universal non-Hermitian skin effect in two and higher dimensions
• Non-Hermitian topological phenomena: A review
• Higher-order non-Hermitian skin effect
• Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
• Active topological photonics
• Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class
• Symmetry and Higher-Order Exceptional Points
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Knots and Non-Hermitian Bloch Bands
• Second-order topological non-Hermitian skin effects
• Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics
• Non-Hermitian band topology and skin modes in active elastic media
• Topological Classification of Non-Hermitian Hamiltonians
• Symmetry-protected multifold exceptional points and their topological characterization
• Skin effect and winding number in disordered non-Hermitian systems
• Topological Phase Transition driven by Infinitesimal Instability: Majorana Fermions in Non-Hermitian Spintronics
• Observation of Acoustic Non-Hermitian Bloch Braids and Associated Topological Phase Transitions
• Fermion doubling theorems in 2D non-Hermitian systems for Fermi points and exceptional points
• Generalized bulk-edge correspondence for non-hermitian topological systems
• Non-Hermitian Dirac Cones
• Nonunitary Scaling Theory of Non-Hermitian Localization
• Unraveling non-Hermitian pumping: emergent spectral singularities and anomalous responses
• 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
• Emergent Fermi surface in a many-body non-Hermitian Fermionic chain
• Jones polynomial and knot transitions in topological semimetals
• Many-body topology of non-Hermitian systems
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• Topological Field Theory of Non-Hermitian Systems
• Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems
• Non-Hermitian Skin Effects in Hermitian Correlated/Disordered Systems: Boundary-Sensitive/Insensitive Quantities and Pseudo Quantum Number
• Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
• Topological classification of non-Hermitian bands
• Square-root higher-order topological insulator on a decorated honeycomb lattice
• Liouvillian Skin Effect in an Exactly Solvable Model
• Exceptional Bound States and negative Entanglement Entropy
• Experimental Realization of Geometry-Dependent Skin Effect in a Reciprocal Two-Dimensional Lattice
• Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
• Topological band theory for non-Hermitian systems from the Dirac equation
• Realizing exceptional points of any order in the presence of symmetry
• Bulk-boundary correspondence in non-Hermitian systems: stability analysis for generalized boundary conditions
• Knot topology of exceptional point and non-Hermitian no-go theorem
• Dislocation Non-Hermitian Skin Effect
• Simulating Exceptional Non-Hermitian Metals with Single-Photon Interferometry
• Higher-Order Weyl-Exceptional-Ring Semimetals
• Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
• Non-Hermitian Topological Phases: Principles and Prospects
• Enhancement of quantum heat engine by encircling a Liouvillian exceptional point
• Non-Hermitian Photonic Lattices: tutorial
• Exceptional non-Hermitian topological edge mode and its application to active matter
• Dynamical characterization of non-Hermitian Floquet topological phases in one-dimension
• Chiral-symmetry protected exceptional torus in correlated nodal-line semi-metals
• Topological semimetal phase with exceptional points in one-dimensional non-Hermitian systems
• Direct Measurement of Topological Properties of an Exceptional Parabola
• Probing Complex-energy Topology via Non-Hermitian Absorption Spectroscopy in a Trapped Ion Simulator
• Fate of fractional quantum Hall states in open quantum systems: characterization of correlated topological states for the full Liouvillian
• Eigenvalue topology of non-Hermitian band structures in two and three dimensions
• Non-Hermitian band topology with generalized inversion symmetry
• $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian Dirac semimetals
• Non-Hermitian Mott Skin Effect
• Nielsen-Ninomiya Theorem with Bulk Topology: Duality in Floquet and Non-Hermitian Systems
• Cascade of the delocalization transition in a non-Hermitian interpolating Aubry-Andr{é}-Fibonacci chain
• General properties of fidelity in non-Hermitian quantum systems with PT symmetry
• Exceptional band touching for strongly correlated systems in equilibrium
• Non-Bloch band theory and bulk-edge correspondence in non-Hermitian systems
• Phase Transitions and Generalized Biorthogonal Polarization in Non-Hermitian Systems
• Classification of Exceptional Nodal Topologies Protected by $\mathcal{P}\mathcal{T}$ Symmetry
• Sensitivity of non-Hermitian systems
• Berry connection induced anomalous wave-packet dynamics in non-Hermitian systems
• Unveiling the Enhancement of Spontaneous Emission at Exceptional Points
• Realization and Topological Properties of Third-Order Exceptional Lines Embedded in Exceptional Surfaces
• Symmetry and topological classification of Floquet non-Hermitian systems
• Unconventional scaling at non-Hermitian critical points
• Dynamical symmetries of periodically-driven quantum systems and their spectroscopic signatures
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Untying links through anti-parity-time-symmetric coupling
• Hybrid skin-topological effect induced by eight-site cells and arbitrary adjustment of the localization of topological edge states
• Bulk-boundary correspondence in point-gap topological phases
• Inversion symmetric non-Hermitian Chern insulator
• Connections between the Open-boundary Spectrum and Generalized Brillouin Zone in Non-Hermitian Systems
• Braid Protected Topological Band Structures with Unpaired Exceptional Points
• Topological energy braiding of the non-Bloch bands
• Topology in non-Hermitian Chern insulators with skin effect
• Boundary Condition Independence of Non-Hermitian Hamiltonian Dynamics
• Non-Hermitian Absorption Spectroscopy
• Interaction induced bi-skin effect in an exciton-polariton system
• Exceptional points make an astroid in non-Hermitian Lieb lattice: evolution and topological protection
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Symmetry indicator in non-Hermitian systems
• The topological counterparts of non-Hermitian SSH models
• Exceptional points in the one-dimensional Hubbard model
• Controlling Exceptional Points with Light
• Real spectra in non-Hermitian topological insulators
• Symmetry-protected exceptional and nodal points in non-Hermitian systems
• Floquet engineering and simulating exceptional rings with a quantum spin system
• Anatomy of open-boundary bulk in multiband non-Hermitian systems
• Imaginary couplings in non-Hermitian coupled-mode theory: Effects on exceptional points of optical resonators
• Anderson localization transitions in disordered non-Hermitian systems with exceptional points
• Experimental observation of exceptional bound states in a classical circuit network
• Non-Hermitian spatial symmetries and their stabilized normal and exceptional topological semimetals
• Generalized Berry phase for a bosonic Bogoliubov system with exceptional points
• Double exceptional links in a three-dimensional dissipative cold atomic gas
• $\eta$-pairing ground states in the non-Hermitian Hubbard model
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Topological optomechanical amplifier with synthetic $\mathcal{P}\mathcal{T}$-symmetry
• Disorder-induced exceptional and hybrid rings in Weyl/Dirac semimetals
• Non-Hermitian Weyl semimetal and its Floquet engineering
• The Bulk-boundary Correspondence in Non-Hermitian Hopf-link Exceptional Line Semimetals
• Non-Hermitian phase-biased Josephson junctions
• Degeneracy and defectiveness in non-Hermitian systems with open boundary
• Universal scalefree non-Hermitian skin effect near the Bloch point
• Anderson Delocalization in Strongly Coupled Disordered Non-Hermitian Chains
• Probing non-Hermitian phase transitions in curved space via quench dynamics
• Bulk Bogoliubov Fermi arcs in non-Hermitian superconducting systems
• Fate of exceptional points under interactions: Reduction of topological classifications
• Non-Hermitian Skin Effect in Periodically-Driven Dissipative Ultracold Atoms
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Hybrid scale-free skin effect in non-Hermitian systems: A transfer matrix approach
• Experimental realization of stable exceptional chains protected by non-Hermitian latent symmetries unique to mechanical systems
• Machine learning non-Hermitian topological phases
• Degeneracies and symmetry breaking in pseudo-Hermitian matrices
• Non-Hermitian eigenvalue knots and their isotopic equivalence
• Damping transition in an open generalized Aubry-André-Harper model
• Non-normal Hamiltonian dynamics in quantum systems and its realization on quantum computers
• Anomalous Andreev Spectrum and Transport in Non-Hermitian Josephson Junctions
• Chiral state transfer under dephasing
• Topological characterization of non-Hermitian multiband systems using Majorana's Stellar Representation
• Non-hermitian topology in multiterminal superconducting junctions
• Unsupervised Learning of Topological Non-Abelian Braiding in Non-Hermitian Bands
• Non-Hermitian multiterminal phase-biased Josephson junctions
• Making topologically trivial non-Hermitian systems nontrivial via gauge fields
• Dynamical Transition due to Feedback-induced Skin Effect
• Exceptional degeneracies in non-Hermitian Rashba semiconductors
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Dynamical preparation of a steady ODLRO state in the Hubbard model with local non-Hermitian impurity
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model
• Engineering non-Hermitian Second Order Topological Insulator in Quasicrystals
• Exceptional points as signatures of dynamical magnetic phase transitions
• Topological superconductivity enhanced by exceptional points
• A renormalization group approach to non-Hermitian topological quantum criticality
• Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
• Exceptional points in Fermi liquids with quadrupolar interactions
• 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
• Localization-Delocalization Transitions in Non-Hermitian Aharonov-Bohm Cages
• Topological transitions in quantum jump dynamics: Hidden exceptional points
• Two-dimensional anisotropic non-Hermitian Lieb lattice
• Alice string in Non-Hermitian Systems
• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
• Dynamical signatures of point-gap Weyl semimetal
• Non-Hermitian minimal Kitaev chains
• Unravelling the edge spectra of non-Hermitian Chern insulators
• Hermitian Topologies originating from non-Hermitian braidings
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• Nontrivial worldline winding in non-Hermitian quantum systems
• Observation of Impurity-Induced Scale-Free Localization in a Disordered Non-Hermitian Electrical Circuit
• Exceptional Non-Hermitian Phases in Disordered Quantum Wires
• Accuracy guarantees and quantum advantage in analogue open quantum simulation with and without noise
• 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
• Mesoscopic transport signatures of disorder-induced non-Hermitian phases
• Imaginary gap-closed points and dynamics in a class of dissipative systems
• Critical and non critical non-Hermitian topological phase transitions in one dimensional chains
• Dynamically Induced Exceptional Phases in Quenched Interacting Semimetals
• Interplay of nonreciprocity and nonlinearity on mean-field energy and dynamics of a Bose-Einstein condensate in a double-well potential
• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
• Fingerprint of Non-Hermiticity in d-wave Altermagnet
• Versatile Control of Nonlinear Topological States in Non-Hermitian Systems
• Discriminant indicators with generalized inversion symmetry
• Detecting bulk and edge exceptional points in non-Hermitian systems through generalized Petermann factors
• Correlations in non-Hermitian systems and Diagram techniques for the steady state
• Anomalous pumping in the non-Hermitian Rice-Mele model
• Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
• Non-Hermitian Quantum Fractals
• Interaction-Induced Second-Order Skin Effect
• Braiding topology of symmetry-protected degeneracy points in non-Hermitian systems
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Braids and Higher-order Exceptional Points from the Interplay Between Lossy Defects and Topological Boundary States
• Protection of Correlation-Induced Phase Instabilities by Exceptional Susceptibilities
• Exceptional magic angles in non-Hermitian twisted bilayer graphene
• Real spectra in one-dimensional single-band non-Hermitian Hamiltonians
• Non-Bloch dynamics and topology in a classical non-equilibrium process
• Chiral-Extended Photon-Emitter Dressed States in Non-Hermitian Topological Baths
• General theory for infernal points in non-Hermitian systems
• Nonlinear Hall effects with an exceptional ring
• The Quantum Skin Hall Effect
• Non-Hermitian entanglement dip from scaling-induced exceptional criticality
• Exceptional compound plasmon-polariton waves
• Non-reciprocity is necessary for robust dimensional reduction and strong responses in stochastic topological systems
• Topological Classificaton of Non-Hermitian Gapless Phases: Exceptional Points and Bulk Fermi Arcs
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Non-Hermitian quantum gases: a platform for imaginary time crystals
• Spectrum collapse of disordered Dirac Landau levels as topological non-Hermitian physics
• Emergent Non-Hermitian Edge Polarisation in an Hermitian Tight-binding Model
• Machine learning of mirror skin effects in the presence of disorder
• Measuring Non-Hermitian Topological Invariants Directly from Quench Dynamics
• Nodal phases in non-Hermitian wallpaper crystals
• Exceptional Heavy-Fermion Semimetals in Three Dimensions
• Super-enhanced Sensitivity in Non-Hermitian Systems at Infernal Points
• Correlations at higher-order exceptional points in non-Hermitian models
• Exceptional Andreev spectrum and supercurrent in p-wave non-Hermitian Josephson junctions
• Discriminant indicator with generalized rotational symmetry
• Distinguishability Transitions in Non-Unitary Boson Sampling Dynamics
• Entanglement entropy distinguishes PT-symmetry and topological phases in a class of non-unitary quantum walks
• Composite Quantum Phases in Non-Hermitian Systems
• Duality between Generalized Non-Hermitian HN Model in Flat Space and Hermitian System in Curved space
• Bulk-boundary correspondence in topological systems with the momentum dependent energy shift
• Fate of symmetry protected coherence in open quantum system
• $K$-theory classification of Wannier localizability and detachable topological boundary states
• Winding Topology of Multifold Exceptional Points
• Non-Hermitian skin effect in fragmented Hilbert spaces of one-dimensional fermionic lattices
• Theory for the spectral splitting exponent of exceptional points
• How do CPT-like symmetries shape the stability of geophysical flows?
• Magnetization in a non-equilibrium quantum spin system
• Band structures under non-Hermitian periodic potentials: Connecting nearly-free and bi-orthogonal tight-binding models
• Exceptional topology in non-Hermitian twisted bilayer graphene
• Controllable suppression of Non-Hermitian skin effects
• Coalescing hardcore-boson condensate states with nonzero momentum
• Exceptional deficiency of non-Hermitian systems
• Fermi polaron in a dissipative bath with spin-orbit coupling
• Non-Hermitian Josephson junctions with four Majorana zero modes
• Hermitian and non-Hermitian topology in active matter
• Band topology of pseudo-Hermitian phases through tensor Berry connections and quantum metric
• Exceptional mode topological surface laser
• Exceptional Non-Hermitian Topology Associated with Non-Toroidal Brillouin Zones
• Non-Hermitian Hopf insulators
• A non-Hermitian Su-Schrieffer-Heeger model with the energy levels of free parafermions
• Measuring topological invariants of even-dimensional line-gapped non-Hermitian systems through quench dynamics
• Observation of Embedded Topology in a Trivial Bulk via Projective Crystal Symmetry
• Topological spin textures in electronic non-Hermitian systems
• PT-symmetric Non-Hermitian Hopf Metal
• Tailoring higher-order van Hove singularities in non-Hermitian interface systems via Floquet engineering
• Oscillators with imaginary coupling: spectral functions in quantum mechanics and quantum field theory
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
• Intrinsic non-Hermitian topological phases
• Disorder and non-Hermiticity in Kitaev spin liquids with a Majorana Fermi surface
• Entanglement manifestation of knot topology in a non-Hermitian lattice
• Adiabatic charge transport through non-Bloch bands
• Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials
• Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su-Schrieffer-Heeger Model with Nonreciprocal Hoppings
• Machine learning topological energy braiding of non-Bloch bands
• Algebraic skin effect in two-dimensional non-Hermitian metamaterials
• Floquet multiple exceptional points with higher-order skin effect
• Electronic states in a bilayer graphene quantum ripple
• Supermetal-insulator transition in a non-Hermitian network model
• Non-linear and weak-coupling expansion in Quantum Field Theory
• Zero Indirect Band Gap in Non-Hermitian Systems
• Non-Hermitian Higher-Order Dirac Semimetals
• Non-Hermitian Higher-Order Weyl Semimetals
• Illuminating the bulk-boundary correspondence of a non-Hermitian stub lattice with Majorana stars
• Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems
• Antiferromagnetism and spin excitations in a two-dimensional non-Hermitian Hatano-Nelson flux model
• Magnetic field effects on the Kitaev model coupled to environment
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays