Topological Origin of Non-Hermitian Skin Effects

Abstract

A unique feature of non-Hermitian systems is the skin effect, which is the extreme sensitivity to the boundary conditions. Here, we reveal that the skin effect originates from intrinsic non-Hermitian topology. Such a topological origin not merely explains the universal feature of the known skin effect, but also leads to new types of the skin effects---symmetry-protected skin effects. In particular, we discover the ${\mathbb{Z}}_2$ skin effect protected by time-reversal symmetry. On the basis of topological classification, we also discuss possible other skin effects in arbitrary dimensions. Our work provides a unified understanding about the bulk-boundary correspondence and the skin effects in non-Hermitian systems.

7+21 pages, 2+3 figures

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Cited by in corpus (640)

• Non-Hermitian Topology and Exceptional-Point Geometries
• Universal non-Hermitian skin effect in two and higher dimensions
• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
• Non-Hermitian topological phenomena: A review
• Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits
• Topological active matter
• Higher-order non-Hermitian skin effect
• Acoustic non-Hermitian skin effect from twisted winding topology
• Observation of higher-order non-Hermitian skin effect
• Observation of arbitrary topological windings of a non-Hermitian band
• Topological Non-Hermitian skin effect
• Non-Hermitian Morphing of Topological Modes
• Exact solution of non-Hermitian systems with generalized boundary conditions: size-dependent boundary effect and fragility of skin effect
• Observation of non-Bloch parity-time symmetry and exceptional points
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Second-order topological non-Hermitian skin effects
• Realization of active metamaterials with odd micropolar elasticity
• Observation of non-Hermitian topological Anderson insulator in quantum dynamics
• Transient non-Hermitian skin effect
• Skin effect and winding number in disordered non-Hermitian systems
• Non-Hermitian Edge Burst
• Simulating non-Hermitian quasicrystals with single-photon quantum walks
• Localization transition, spectrum structure and winding numbers for one-dimensional non-Hermitian quasicrystals
• Exact mobility edges, $\mathcal{P}\mathcal{T}$-symmetry breaking and skin effect in one-dimensional non-Hermitian quasicrystals
• Impurity induced scale-free localization
• Observation of Acoustic Non-Hermitian Bloch Braids and Associated Topological Phase Transitions
• Non-Hermitian second-order skin and topological modes
• Observation of exceptional points and skin effect correspondence in non-Hermitian phononic crystals
• Observation of novel topological states in hyperbolic lattices
• Many-body topology of non-Hermitian systems
• Localization and topological transitions in non-Hermitian quasiperiodic lattices
• Experimental Realization of Weyl Exceptional Rings in a Synthetic Three-Dimensional Non-Hermitian Phononic Crystal
• Topology of anti-parity-time-symmetric non-Hermitian Su-Schrieffer-Heeger model
• Hybrid skin-topological modes without asymmetric couplings
• Anomalous single-mode lasing induced by nonlinearity and the non-Hermitian skin effect
• Guided accumulation of active particles by topological design of a second-order skin effect
• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• Exceptional Topological Insulators
• Topological Field Theory of Non-Hermitian Systems
• Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems
• Amoeba Formulation of Non-Bloch Band Theory in Arbitrary Dimensions
• Unraveling the Non-Hermitian Skin Effect in Dissipative Systems
• Inner Skin Effects on Non-Hermitian Topological Fractals
• Non-Hermitian Skin Effects in Hermitian Correlated/Disordered Systems: Boundary-Sensitive/Insensitive Quantities and Pseudo Quantum Number
• Two-dimensional non-Hermitian skin effect in an ultracold Fermi gas
• Observation of non-Hermitian topology with non-unitary dynamics of solid-state spins
• Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
• Non-trivial point-gap topology and non-Hermitian skin effect in photonic crystals
• Complex Skin Modes in Non-Hermitian Coupled Laser Arrays
• Non-Hermitian Many-Body Localization with Open Boundaries
• 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
• Non-Hermitian skin clusters from strong interactions
• Exceptional Bound States and negative Entanglement Entropy
• Experimental Realization of Geometry-Dependent Skin Effect in a Reciprocal Two-Dimensional Lattice
• Anomalous Skin Effects in Disordered Systems with a Single non-Hermitian Impurity
• Non-reciprocal transport of Exciton-Polaritons in a non-Hermitian chain
• Non-Bloch band theory in bosonic Bogoliubov-de Gennes systems
• Experimental identification of the second-order non-Hermitian skin effect with physics-graph-informed machine learning
• Magnetic suppression of non-Hermitian skin effects
• Anomalous Floquet non-Hermitian skin effect in a ring resonator lattice
• Anomalous topological edge states in non-Hermitian piezophononic media
• Fate of the non-Hermitian skin effect in many-body fermionic systems
• Delocalization of topological edge states
• Dislocation Non-Hermitian Skin Effect
• Higher-Order Weyl-Exceptional-Ring Semimetals
• Quantized classical response from spectral winding topology
• Simulating Exceptional Non-Hermitian Metals with Single-Photon Interferometry
• Topology by Dissipation: Majorana Bosons in Metastable Quadratic Markovian Dynamics
• Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
• Hyperbolic Topological Band Insulators
• Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
• Non-Hermitian Topological Phases: Principles and Prospects
• Detecting non-Bloch topological invariants in quantum dynamics
• Creating boundaries along a synthetic frequency dimension
• Higher rank chirality and non-Hermitian skin effect in a topolectrical circuit
• Non-Hermitian Pseudo-Gaps
• Unifying the Anderson Transitions in Hermitian and Non-Hermitian Systems
• Non-Hermitian Photonic Lattices: tutorial
• Non-Hermitian skin effect beyond the tight-binding models
• Non-Hermitian physics without gain or loss: the skin effect of reflected waves
• Fate of Majorana zero modes, critical states and non-conventional real-complex transition in non-Hermitian quasiperiodic lattices
• Accumulation of scale-free localized states induced by local non-Hermiticity
• Floquet engineering of point-gapped topological superconductors
• Floquet second-order topological insulators in non-Hermitian systems
• Optomechanical realization of the bosonic Kitaev-Majorana chain
• Non-Bloch bands in two-dimensional non-Hermitian systems
• 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
• Direct Measurement of Topological Properties of an Exceptional Parabola
• Dimensional transmutation from non-Hermiticity
• 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
• Hermitian zero modes protected by nonnormality: Application of pseudospectra
• Non-Hermitian skin effect as an impurity problem
• Geometric Origin of Non-Bloch PT Symmetry Breaking
• Spectral deformations in non-Hermitian lattices with disorder and skin effect: a solvable model
• Non-Hermitian band topology with generalized inversion symmetry
• Dual topological characterization of non-Hermitian Floquet phases
• Non-Hermitian skin effect of dislocations and its topological origin
• Non-Hermitian waves in a continuous periodic model and application to photonic crystals
• Engineering Non-Hermitian Skin Effect with Band Topology in Ultracold Gases
• Transfer matrix study of the Anderson transition in non-Hermitian systems
• Observation of non-Hermitian edge burst in quantum dynamics
• Cascade of the delocalization transition in a non-Hermitian interpolating Aubry-Andr{é}-Fibonacci chain
• Non-Hermitian Mott Skin Effect
• Non-Hermitian Floquet Topological Matter -- A Review
• Non-Hermitian generalizations of extended Su-Schrieffer-Heeger models
• Real space topological invariant and higher-order topological Anderson insulator in two-dimensional non-Hermitian systems
• Bounds in Nonequilibrium Quantum Dynamics
• Non-Hermitian Chiral Skin Effect
• Curving the space by non-Hermiticity
• Dynamical Degeneracy Splitting and Directional Invisibility in Non-Hermitian Systems
• Observation of dynamical degeneracy splitting for the non-Hermitian skin effect
• Anderson localization and topological phase transitions in non-Hermitian Aubry-André-Harper models with p-wave pairing
• Photonic corner skin modes
• Non-Bloch band theory and bulk-edge correspondence in non-Hermitian systems
• Hermitian Bulk -- Non-Hermitian Boundary Correspondence
• Designing non-Hermitian real spectra through electrostatics
• Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
• A non-Hermitian optical atomic mirror
• Observation of non-Hermitian topology in a multi-terminal quantum Hall device
• Nonequilibrium dynamics of the localization-delocalization transition in the non-Hermitian Aubry-André model
• Zoology of non-Hermitian spectra and their graph topology
• Unsupervised Learning of Non-Hermitian Topological Phases
• Bulk-Bulk Correspondence in Disordered Non-Hermitian Systems
• Topological origin of non-Hermitian skin effect in higher dimensions and uniform spectra
• Biorthogonal quantum criticality in non-Hermitian many-body systems
• Sensitivity of non-Hermitian systems
• Unusual wave-packet spreading and entanglement dynamics in non-Hermitian disordered many-body systems
• Non-Hermitian Rosenzweig-Porter random-matrix ensemble: Obstruction to the fractal phase
• Quantum Criticality in Open Quantum Spin Chains with Nonreciprocity
• Scale-tailored localization and its observation in non-Hermitian electrical circuits
• Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
• Topological Anderson insulators with different bulk states in quasiperiodic chains
• Multi-dimensional band structure spectroscopy in the synthetic frequency dimension
• Non-Hermitian skin effect in magnetic systems
• Realization and Topological Properties of Third-Order Exceptional Lines Embedded in Exceptional Surfaces
• Proposal for Observing Yang-Lee Criticality in Rydberg Atomic Arrays
• Non-Hermitian dislocation modes: Stability and melting across exceptional points
• Disorder-driven Phase Transitions of Second-order Non-Hermitian Skin Effects
• Unconventional scaling at non-Hermitian critical points
• Geometry-dependent skin effects in reciprocal photonic crystals
• Loss-induced Floquet non-Hermitian skin effect
• Experimental observation of non-Hermitian higher-order skin interface states in topological electric circuits
• Untying links through anti-parity-time-symmetric coupling
• Anomalous Behaviors of Quantum Emitters in Non-Hermitian Baths
• Hybrid skin-topological effect induced by eight-site cells and arbitrary adjustment of the localization of topological edge states
• Ring Structure in the Complex Plane: A Fingerprint of non-Hermitian Mobility Edge
• Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
• Theoretical Prediction of Non-Hermitian Skin Effect in Ultracold Atom Systems
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• Restoration of the non-Hermitian bulk-boundary correspondence via topological amplification
• Bulk-boundary correspondence in point-gap topological phases
• Topological spin excitations in non-Hermitian spin chains with a generalized kernel polynomial algorithm
• Circuit realisation of a two-orbital non-Hermitian tight-binding chain
• Connections between the Open-boundary Spectrum and Generalized Brillouin Zone in Non-Hermitian Systems
• Ultra-sensitive integrated circuit sensors based on high-order nonHermitian topological physics
• Machine learning topological invariants of non-Hermitian systems
• Synthetic non-Abelian gauge fields for non-Hermitian systems
• Exact solution of the Bose Hubbard model with unidirectional hopping
• Nonreciprocal Charge and Spin Transport Induced by Non-Hermitian Skin Effect in Mesoscopic Heterojunctions
• Topological energy braiding of the non-Bloch bands
• Nonlinear Non-Hermitian Skin Effect and Skin Solitons in Temporal Photonic Feedforward Lattices
• Non-Hermitian topology in monitored quantum circuits
• Topology in non-Hermitian Chern insulators with skin effect
• Quantum Simulation of the Bosonic Kitaev Chain
• Non-Hermitian Maryland Model
• Entanglement Entropy of Non-Hermitian Free Fermions
• Boundary Condition Independence of Non-Hermitian Hamiltonian Dynamics
• Non-Hermitian skin effects on many-body localized and thermal phases
• Non-Hermitian Absorption Spectroscopy
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Interaction induced bi-skin effect in an exciton-polariton system
• Hermitian and Non-Hermitian Topology from Photon-Mediated Interactions
• Symmetry Indicators for Inversion-Symmetric Non-Hermitian Topological Band Structures
• Manipulating non-reciprocity in a two-dimensional magnetic quantum walk
• Dynamic skin effects in non-Hermitian systems
• Topological phases protected by shifted sublattice symmetry in dissipative quantum systems
• Cyclotron quantization and mirror-time transition on nonreciprocal lattices
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Symmetry indicator in non-Hermitian systems
• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
• Non-Bloch quench dynamics
• Universal platform of point-gap topological phases from topological materials
• Many-body non-Hermitian skin effect under dynamic gauge coupling
• System size dependent topological zero modes in coupled topolectrical chains
• The fate of reentrant localization phenomenon in the one-dimensional dimerized quasiperiodic chain with long-range hopping
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• Non-Hermitian boundary spectral winding
• Always-Real-Eigenvalued Non-Hermitian Topological Systems
• Quantum metric of non-Hermitian Su-Schrieffer-Heeger systems
• Solvable non-Hermitian skin effect in many-body unitary dynamics
• Non-Hermitian pseudo mobility edge in a coupled chain system
• Exceptional points in the one-dimensional Hubbard model
• Continuum of Bound States in a Non-Hermitian Model
• Amplification of quantum signals by the non-Hermitian skin effect
• Exponentially-enhanced Quantum Non-Hermitian Sensing via Optimized Coherent Drive
• Non-Hermitian skin effect edge
• Manipulating non-Hermitian skin effect via electric fields
• Bound states and photon emission in non-Hermitian nanophotonics
• Exponentially growing bulk Green functions as signature of nontrivial non-Hermitian winding number in one dimension
• Topology of multipartite non-Hermitian one-dimensional systems
• Observation of non-Hermitian antichiral edge currents
• Anatomy of open-boundary bulk in multiband non-Hermitian systems
• Loss-difference-induced localization in a non-Hermitian honeycomb photonic lattice
• Topological enhancement of non-normality in non-Hermitian skin effects
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• A Non-Hermitian Moiré Valley Filter
• Giant Emitters in a Structured Bath with Non-Hermitian Skin Effect
• Stochastic non-Hermitian skin effect
• Double exceptional links in a three-dimensional dissipative cold atomic gas
• Erratic non-Hermitian skin localization
• Bridging the gap between topological non-Hermitian physics and open quantum systems
• Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk
• Bulk-edge correspondence for nonlinear eigenvalue problems
• Exact analogue of the Hatano-Nelson model in 1D continuous nonreciprocal systems
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Anderson transition at complex energies in one-dimensional parity-time-symmetric disordered systems
• Incoherent non-Hermitian skin effect in photonic quantum walks
• Observation of scale-free localized states induced by non-Hermitian defects
• A brief review of hybrid skin-topological effect
• Percolation-induced PT symmetry breaking
• Edge theory of non-Hermitian skin modes in higher dimensions
• Activating non-Hermitian skin modes by parity-time symmetry breaking
• Non-Hermiticity induces localization: good and bad resonances in power-law random banded matrices
• Direction reversal of non-Hermitian skin effect via coherent coupling
• Non-Hermitian topology in rock-paper-scissors games
• Dynamical scaling of Loschmidt echo in non-Hermitian systems
• Non-Hermitian topological end breathers
• Geometry and superfluidity of the flat band in a non-Hermitian optical lattice
• Degeneracy and defectiveness in non-Hermitian systems with open boundary
• Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
• Green's functions of multiband non-Hermitian systems
• Engineering Dissipative Quasicrystals
• Skin effect and dynamical delocalization in non-Hermitian quasicrystals with spin-orbit interaction
• Effect of quantum jumps on non-Hermitian system
• The bosonic skin effect: boundary condensation in asymmetric transport
• Universal scalefree non-Hermitian skin effect near the Bloch point
• Absence of logarithmic and algebraic scaling entanglement phases due to skin effect
• Robust localized zero-energy modes from locally embedded PT-symmetric defects
• Probing non-Hermitian phase transitions in curved space via quench dynamics
• The non-Hermitian skin effect: A perspective
• Topological zero modes and edge symmetries of metastable Markovian bosonic systems
• Non-Hermitian Topology in Hermitian Topological Matter
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Fate of exceptional points under interactions: Reduction of topological classifications
• Absence of measurement-induced entanglement transition due to feedback-induced skin effect
• Anderson Delocalization in Strongly Coupled Disordered Non-Hermitian Chains
• Topological Phase Transitions of Generalized Brillouin Zone
• Non-Hermitian Second-Order Topological Phases and Bipolar Skin Effect in Photonic Kagome Crystals
• Non-Bloch band theory for non-Hermitian continuum systems
• 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
• Non-reciprocal Exciton-Polariton Ring Lattices
• Machine learning non-Hermitian topological phases
• Hybrid scale-free skin effect in non-Hermitian systems: A transfer matrix approach
• Self acceleration from spectral geometry in dissipative quantum-walk dynamics
• Emergent non-Hermitian models
• Asymmetric transfer matrix analysis of Lyapunov exponents in one-dimensional non-reciprocal quasicrystals
• Kinked linear response from non-Hermitian cold-atom pumping
• Anomalous Andreev Spectrum and Transport in Non-Hermitian Josephson Junctions
• Damping transition in an open generalized Aubry-André-Harper model
• Non-normal Hamiltonian dynamics in quantum systems and its realization on quantum computers
• Non-Bloch band theory of generalized eigenvalue problems
• Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
• Insensitive edge solitons in a non-Hermitian topological lattice
• Evidencing non-Bloch dynamics in temporal topolectrical circuits
• Unsupervised Learning of Topological Non-Abelian Braiding in Non-Hermitian Bands
• Non-Abelian Braiding of Topological Edge Bands
• Modified Generalized-Brillouin-Zone Theory with On-site Disorders
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice
• Non-hermitian topology in multiterminal superconducting junctions
• Topological triple phase transition in non-Hermitian quasicrystals with complex asymmetric hopping
• Critical non-Hermitian topology induced quantum sensing
• Real spectra, Anderson localization, and topological phases in one-dimensional quasireciprocal systems
• Quantum criticality in interacting bosonic Kitaev-Hubbard models
• Non-Hermitian topological mobility edges and transport in photonic quantum walks
• Topological properties of a non-Hermitian quasi-1D chain with a flat band
• Making topologically trivial non-Hermitian systems nontrivial via gauge fields
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Competition of non-Hermitian skin effect and topological localization of corner states observed in circuits
• Observation of size-dependent boundary effects in non-Hermitian electric circuits
• Exact formulas of the end-to-end Green's functions in non-Hermitian systems
• Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy
• Exact Solutions Disentangle Higher-Order Topology in 2D Non-Hermitian Lattices
• Non-Hermitian topological exciton-polariton corner modes
• Non-Hermitian edge burst without skin localizations
• Tunable two-dimensional laser arrays with zero-phase locking
• Exponential sensitivity revival of noisy non-Hermitian quantum sensing with two-photon drives
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Filling up complex spectral regions through non-Hermitian disordered chains
• Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
• Anderson localization versus hopping asymmetry in a disordered lattice
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model
• Field theory of non-Hermitian disordered systems
• Topological plasma transport from a diffusion view
• Many-body Non-Hermitian Skin Effect At Finite Temperatures
• Real Non-Hermitian Energy Spectra Without Any Symmetry
• Non-Hermitian extended midgap states and bound states in the continuum
• Non-Hermitian topological ohmmeter
• Non-Hermitian second-order topological superconductors
• Scaling laws for non-Hermitian skin effect with long-range couplings
• Topological superconductivity enhanced by exceptional points
• Topological properties of non-Hermitian Creutz Ladders
• Hinge Magnons from Non-collinear Magnetic Order in Honeycomb Antiferromagnet
• Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
• Universal characteristics of one-dimensional non-Hermitian superconductors
• Non-Hermitian topological phases and skin effects in kagome lattices
• Fate of Two-Particle Bound States in the Continuum in non-Hermitian Systems
• Non-Hermitian Hartman effect
• Characterizing and Tuning Exceptional Points Using Newton Polygons
• Observation of disorder-induced boundary localization
• Driven-dissipative topological phases in parametric resonator arrays
• Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
• Braiding Topology of Non-Hermitian Open-Boundary Bands
• Exact complex mobility edges and flagellate spectra for non-Hermitian quasicrystals with exponential hoppings
• Exponentially Enhanced non-Hermitian Cooling
• Non-Hermitian higher-Order Weyl semimetal with surface diabolic points
• Modulational Instability and Dynamical Growth Blockade in the Nonlinear Hatano-Nelson Model
• Spectral structure and doublon dissociation in the two-particle non-Hermitian Hubbard model
• Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
• Dynamical signatures of point-gap Weyl semimetal
• Many-body entanglement and spectral clusters in the extended hard-core bosonic Hatano-Nelson model
• Boundary sensitive Lindbladians and relaxation dynamics
• Symmetric non-Hermitian skin effect with emergent nonlocal correspondence
• Identifying gap-closings in open non-Hermitian systems by Biorthogonal Polarization
• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
• Skin Effect in Quadratic Lindbladian Systems: an Adjoint Fermion Approach
• Pseudomagnetic suppression of non-Hermitian skin effect
• Hidden zero modes and topology of multiband non-Hermitian systems
• Many-body phase transitions in a non-Hermitian Ising chain
• Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices
• Emerging exceptional point with breakdown of skin effect in non-Hermitian systems
• Optomechanically induced transparency and directional amplification in a non-Hermitian optomechanical lattice
• Localization-Delocalization Transitions in Non-Hermitian Aharonov-Bohm Cages
• Non-Hermitian skin effect in a spin-orbit-coupled Bose-Einstein condensate
• Point-Gap Bound States in Non-Hermitian Systems
• Topology of multiple cross-linked Su-Schrieffer-Heeger chains
• Two-dimensional anisotropic non-Hermitian Lieb lattice
• Nontrivial worldline winding in non-Hermitian quantum systems
• Non-Hermitian BCS-BEC crossover of Dirac fermions
• Bulk-edge correspondence and trapping at a non-Hermitian topological interface
• Non-Bloch PT symmetry breaking: Universal threshold and dimensional surprise
• Observation of Impurity-Induced Scale-Free Localization in a Disordered Non-Hermitian Electrical Circuit
• Anomalous dynamical response of non-Hermitian topological phases
• Generalized Fermion Doubling Theorems: Classification of 2D Nodal Systems in Terms of Wallpaper Groups
• Real-space topological localizer index to fully characterize the dislocation skin effect
• Unravelling the edge spectra of non-Hermitian Chern insulators
• Observation of non-local impedance response in a passive electrical circuit
• Hermitian Topologies originating from non-Hermitian braidings
• Giant non-reciprocity and gyration through modulation-induced Hatano-Nelson coupling in integrated photonics
• Electromagnetic Proximity Effect: Superconducting Magnonics and Beyond
• Selective and tunable excitation of topological non-Hermitian skin modes
• Non-Hermitian topological phase transitions in superlattices and the optical Dirac equation
• 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
• Majorana zero modes, unconventional real-complex transition and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice
• The Interplay of Finite and Infinite Size Stability in Quadratic Bosonic Lindbladians
• Protection of all nondefective twofold degeneracies by anti-unitary symmetries in non-Hermitian systems
• Multifractality of many-body non-Hermitian skin effect
• Floquet Exceptional Topological Insulator
• Imaginary gap-closed points and dynamics in a class of dissipative systems
• Quantum-Classical Correspondence of Non-Hermitian Symmetry Breaking
• Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
• Role of Topology in Relaxation of One-Dimensional Stochastic Processes
• Non-Hermitian boost deformation
• Quantum algorithm for linear non-unitary dynamics with near-optimal dependence on all parameters
• Exact non-Hermitian mobility edges and robust flat bands in two-dimensional Lieb lattices with imaginary quasiperiodic potentials
• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
• Exceptional points and exponential sensitivity for periodically driven Lindblad equations
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Topological circuit of a versatile non-Hermitian quantum system
• Thermodynamics and entanglement entropy of the non-Hermitian SSH model
• Anomalous second-order skin modes in Floquet non-Hermitian systems
• Discriminant indicators with generalized inversion symmetry
• Equivalence and superposition of real and imaginary quasiperiodicities
• Emergent non-Hermitian localization phenomena in the synthetic space of zero-dimensional bosonic systems
• Relationship between the Electronic Polarization and the Winding Number in Non-Hermitian Systems
• Space-Time Duality between Quantum Chaos and Non-Hermitian Boundary Effect
• Magnetic Flux Response of Non-Hermitian Topological Phases
• Detecting bulk and edge exceptional points in non-Hermitian systems through generalized Petermann factors
• Non-Hermitian skin effect enforced by nonsymmorphic symmetries
• Complex semiclassical theory for non-Hermitian quantum systems
• Numerical instability of non-Hermitian Hamiltonian evolutions
• Information constraint in open quantum systems
• Biorthogonal topological charge pumping in non-Hermitian systems
• Versatile Control of Nonlinear Topological States in Non-Hermitian Systems
• Transport effects in non-Hermitian nonreciprocal systems: General approach
• A symmetry-protected exceptional ring in a photonic crystal with negative index media
• Extended imaginary gauge transformation in a general nonreciprocal lattice
• Concentrated subradiant modes in one-dimensional atomic array coupled with chiral waveguides
• Universal spectral moment theorem and its applications in non-Hermitian systems
• Dynamical signatures of the Yang-Lee edge singularity in non-Hermitian systems
• Effective impurity behavior emergent from non-Hermitian proximity effect
• Bulk-Edge Correspondence for Point-Gap Topological Phases in Junction Systems
• Non-Hermitian Quantum Fractals
• Design nearly optimal quantum algorithm for linear differential equations via Lindbladians
• Non-Hermitian Skin Effect Along Hyperbolic Geodesics
• General mapping of one-dimensional non-Hermitian mosaic models to non-mosaic counterparts: Mobility edges and Lyapunov exponents
• Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
• Non-Hermitian skin effect in a single trapped ion
• Quantum quenches in a pseudo-Hermitian Chern insulator
• Interaction-Induced Second-Order Skin Effect
• Scale-free localization versus Anderson localization in unidirectional quasiperiodic lattices
• Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
• Boundary-dependent dynamical instability of bosonic Green's function: Dissipative Bogoliubov-de Gennes Hamiltonian and its application to non-Hermitian skin effect
• Anomalous pumping in the non-Hermitian Rice-Mele model
• Edge states in a non-Hermitian topological crystalline insulator
• Universal behavior of the scattering matrix near thresholds in photonics
• Quasiperiodicity-induced bulk localization with self similarity in non-Hermitian systems
• Eigenstate clustering around exceptional points
• Non-Hermitian laser arrays with tunable phase locking
• Tailoring Bound State Geometry in High-Dimensional Non-Hermitian Systems
• Harnessing Nonlinearity to Tame Wave Dynamics in Nonreciprocal Active Systems
• Geometric contribution to adiabatic amplification in non-Hermitian systems
• Field Theoretical Study of Disorder in Non-Hermitian Topological Models
• Real spectra in one-dimensional single-band non-Hermitian Hamiltonians
• Competing topological phases in a non-Hermitian time-reversal symmetry-broken Bernevig-Hughes-Zhang model
• Localization and mobility edges in non-Hermitian continuous quasiperiodic systems
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Coexistence of non-Hermitian skin effect and extended states in one-dimensional nonreciprocal lattices
• Chiral-Extended Photon-Emitter Dressed States in Non-Hermitian Topological Baths
• Emergent $\mathcal{P}\mathcal{T}$-symmetry breaking of collective modes with topological critical phenomena
• Unconventional and robust light-matter interactions based on the non-Hermitian skin effect
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• Non-Hermitian skin effect and lasing of absorbing open-boundary modes in photonic crystals
• Lindbladian versus Postselected Non-Hermitian Topology
• Universal hard-edge statistics of non-Hermitian random matrices
• Non-Hermitian generalizations of the Yao-Lee model augmented by SO(3)-symmetry-breaking terms
• Entangelment Entropy on Generalized Brillouin Zone
• Self-trapping and skin solitons in two-dimensional non-Hermitian lattices
• Non-Hermitian physics of levitated nanoparticle array
• Controlled probing of localization effects in the non-Hermitian Aubry-André model via topolectrical circuits
• Electric polarization and its quantization in one-dimensional non-Hermitian chains
• General theory for infernal points in non-Hermitian systems
• Implementing non-Abelian Hatano-Nelson model in electric circuits
• Non-Bloch dynamics and topology in a classical non-equilibrium process
• Topological enhancement of exciton-polariton coherence with non-Hermitian morphing
• Multiple topological transitions and spectral singularities in non-Hermitian Floquet systems
• Quantum Sensing with Driven-Dissipative Su-Schrieffer-Heeger Lattices
• Delocalization of skin steady states
• Electronic polarization in non-Bloch band theory
• Non-Bloch Dirac Points and Phase Diagram in the Stacked Non-Hermitian SSH Model
• Anisotropic-scaling localization in higher-dimensional non-Hermitian systems
• Anomalous hybridization of spectral winding topology in quantized steady-state responses
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Parsing skin effect in a non-Hermitian spinless BHZ-like model
• Non-Hermitian quantum gases: a platform for imaginary time crystals
• Topological Invariant for Multi-Band Non-hermitian Systems with Chiral Symmetry
• Quasi-stationary solutions in non-Hermitian systems
• Complex entanglement entropy for complex conformal field theory
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
• Dissipative two-dimensional Raman lattice
• Non-reciprocity is necessary for robust dimensional reduction and strong responses in stochastic topological systems
• Non-Bloch Theory for Spatiotemporal Photonic Crystals Assisted by Continuum Effective Medium
• Topological phase transition in fluctuating imaginary gauge fields
• The Quantum Skin Hall Effect
• Topological Singularities in Metasurface Scattering Matrices: From Nodal Lines to Exceptional Lines
• Unconventional quantum criticality in a non-Hermitian extended Kitaev chain
• Real-time edge dynamics of non-Hermitian lattices
• Anomalous proximity effect under Andreev and Majorana bound states
• Liouvillian skin effect in quantum neural networks
• Optical pumping through the Liouvillian skin effect
• Extended unitarity and absence of skin effect in periodically driven systems
• Spin-dependent gain and loss in photonic quantum spin Hall systems
• Loss-induced universal one-way transport in periodically driven systems
• Anomalous spectrum in a non-Hermitian quasiperiodic chain
• Measuring Non-Hermitian Topological Invariants Directly from Quench Dynamics
• One-dimensional non-Hermitian band structures as Riemann surfaces
• Two-dimensional lattice with an imaginary magnetic field
• Inverse Design of Winding Tuple for Non-Hermitian Topological Edge Modes
• Topology of Discrete Quantum Feedback Control
• Restoration of non-Hermitian bulk-boundary correspondence by counterbalancing skin effect
• Nodal phases in non-Hermitian wallpaper crystals
• Topological directed amplification
• Impurity-induced counter skin-effect and linear modes in non-Hermitian systems
• Fidelity and criticality in the nonreciprocal Aubry-Andr{é}-Harper model
• Many-body critical non-Hermitian skin effect
• Lack of near-sightedness principle in non-Hermitian systems
• Machine learning of mirror skin effects in the presence of disorder
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Exceptional second-order topological insulators
• Non-Hermitian ultra-strong bosonic clustering through interaction-induced caging
• Nonlinear skin breathing modes in one-dimensional nonreciprocal mechanical lattices
• Emergent Topology in Many-Body Dissipative Quantum Matter
• Quantum Pontus-Mpemba Effect Enabled by the Liouvillian Skin Effect
• Duality between Generalized Non-Hermitian HN Model in Flat Space and Hermitian System in Curved space
• Model non-Hermitian topological operators without skin effect: A general principle of construction
• Non-Hermitian dynamical topological winding in photonic mesh lattices
• Winding Topology of Multifold Exceptional Points
• Chiral Dissociation of Bound Photon Pairs for a Non-Hermitian Skin Effect
• Distinguishability Transitions in Non-Unitary Boson Sampling Dynamics
• Nonreciprocal amplification toward chaos in a chain of Duffing oscillators
• Optical non-Hermitian skin effect in two-dimensional uniform media
• Dual Symmetry Classification of Non-Hermitian Systems and ${\mathbb{Z}}_2$ Point-Gap Topology of a Non-Unitary Quantum Walk
• Topological characteristics of gap closing points in nonlinear Weyl semimetals
• Non-Hermitian Boundary in a Surface Selective Reconstructed Magnetic Weyl Semimetal
• Exact solutions of non-Hermitian chains with asymmetric long-range hopping under specific boundary conditions
• Quantized electrical, thermal, and spin transports of non-Hermitian clean and dirty two-dimensional topological insulators and superconductors
• Topology and its detection in a dissipative Aharonov-Bohm chain
• Discriminant indicator with generalized rotational symmetry
• Quantum chaos in PT symmetric quantum systems
• Phase transitions in non-Hermitian superlattices
• Impurity in a Fermi gas under non-Hermitian spin-orbit coupling
• Bulk-boundary correspondence in topological systems with the momentum dependent energy shift
• Delocalization of interacting directed polymers on a periodic substrate: Localization length and critical exponents from non-Hermitian spectra
• Unveiling Non-Hermitian Spectral Topology in Hyperbolic Lattices with Non-Abelian Translation Symmetry
• Theory for the spectral splitting exponent of exceptional points
• Non-Hermitian skin effect in fragmented Hilbert spaces of one-dimensional fermionic lattices
• Tentaclelike spectra and bound states in Hatano-Nelson chain with long-range impurity coupling
• Manipulating Spectral Windings and Skin Modes through Nonconservative Couplings
• Entanglement Spectrum Dynamics as a Probe for Non-Hermitian Bulk-Boundary Correspondence in Systems with Periodic Boundaries
• $K$-theory classification of Wannier localizability and detachable topological boundary states
• Band structures under non-Hermitian periodic potentials: Connecting nearly-free and bi-orthogonal tight-binding models
• Gauge Field Induced Unconventional Skin Effect in Spinful Non-Hermitian Systems
• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
• Exact multiple complex mobility edges and quantum state engineering in coupled 1D quasicystals
• Exceptional deficiency of non-Hermitian systems
• Non-Hermitian Multipole Skin Effects Challenge Localization
• Non-Hermitian tearing by dissipation
• Defect-driven incoherent skin localization
• Alternating quantum-emitter chains: Exceptional-point phase transition, edge state, and quantum walks
• Reconfigurable Non-Hermitian Soliton Combs using Dissipative Couplings and Topological Windings
• Phase Diagram of a Non-Hermitian Chern Insulator: Destabilization of Chiral Edge States and Bulk-Boundary Correspondence
• Controllable suppression of Non-Hermitian skin effects
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Topological extension including quantum jump
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• Dissolution of the non-Hermitian skin effect in one-dimensional lattices with linearly varying nonreciprocal hopping
• Non-Hermitian Delocalization Induced by Residue Imaginary Velocity
• Hermitian and non-Hermitian topology in active matter
• Spatial Filtering with Nonlocal Non-Hermitian Metasurfaces
• Experimentally Probing Non-Hermitian Spectral Transition and Eigenstate Skewness
• High-fidelity multipartite entanglement creation in non-Hermitian qubits
• Band topology of pseudo-Hermitian phases through tensor Berry connections and quantum metric
• From Hermitian critical to non-Hermitian point-gapped phases
• Multifractal statistics of non-Hermitian skin effect on the Cayley tree
• Exceptional Non-Hermitian Topology Associated with Non-Toroidal Brillouin Zones
• Non-Hermitian Hopf insulators
• Measuring topological invariants of even-dimensional line-gapped non-Hermitian systems through quench dynamics
• Local Non-Hermitian Hamiltonian Formalism for Dissipative Fermionic Systems and Loss-Induced Population Increase in Fermi Superfluids
• Concurrent Skin-scale-free Localization and Criticality under Möbius Boundary Conditions in a Non-Hermitian Ladder
• From Chiral Topological Dynamics to Chiral Topological Amplification: Real vs Imaginary Parameters in a Hermitian Bosonic Chain
• Exceptionally deficient topological square-root insulators
• Exceptional mode topological surface laser
• Uncovering Exceptional Contours in non-Hermitian Hyperbolic Matter
• Unifying Anderson transitions and topological amplification in non-Hermitian chains
• Fidelity zeros and Lee-Yang theory of quantum phase transitions
• Non-Hermitian topological superconductivity with symmetry-enriched spectral and eigenstate features
• Topological and fractal defect states in non-Hermitian lattices
• Experimental observation of energy-band Riemann surface
• Non-Hermitian Topoelectrical Circuits: Expedient Tools for Topological State Engineering with Gain-Loss Modulation
• Generalized Aubry-André-Harper model with power-law quasiperiodic potentials
• Unified Bulk-Entanglement Correspondence in Non-Hermitian Systems
• Nonequilibrium protection effect and spatial localization of noise-induced fluctuations: Quasi-one-dimensional driven lattice gas with partially penetrable obstacle
• PT-symmetric Non-Hermitian Hopf Metal
• Mechanical cosmology: simulating scalar fluctuations in expanding Universes using synthetic mechanical lattices
• Topological spin textures in electronic non-Hermitian systems
• Chiral state conversion in a levitated micromechanical oscillator with in situ control of parameter loops
• Limits of the non-Hermitian description of decay models
• Degenerate Topological Edge States in Multimer Chains
• Entanglement manifestation of knot topology in a non-Hermitian lattice
• Dynamical non-Hermitian systems: Fingerprints and pure dephasing induced protection effect
• Topological Amplification of the Bosonic Kitaev Chain with Non-Uniform Loss
• 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
• Real spectra and phase transition of skin effect in nonreciprocal systems
• Topological Phase Transitions and Edge-State Transfer in Time-Multiplexed Quantum Walks
• Topological Phases in Non-Hermitian Nonlinear-Eigenvalue Systems
• Disorder-driven exceptional points and concurrent topological phase transitions in non-Hermitian systems
• Scaling of pseudospectra in exponentially sensitive lattices
• Computation and Verification of Spectra for Non-Hermitian Systems
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
• Inter-species topological phases via a dynamical gauge field
• Non-Hermitian higher-order topological insulators enabled by altermagnet engineering
• Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
• Anatomy of Higher-Order Non-Hermitian Skin and Boundary Modes
• Symmetry and Topology of Monitored Quantum Dynamics
• Intrinsic non-Hermitian topological phases
• Topological photonics in nanoscaled systems with far field radiation and polarization singularities
• Origin of Robust ${\mathbb{Z}}_2$ Topological Phases in Stacked Hermitian Systems: Non-Hermitian Level Repulsion
• Optimal spectral transport of non-Hermitian systems
• Scattering Dynamics and Boundary States of a Non-Hermitian Dirac Equation
• Higher-order Topological Knots and the classification of non-Hermitian lattices under $C_n$ symmetry
• Gaussian eigenstate pinning in non-Hermitian quantum mechanics
• Topology and $\mathcal{P}\mathcal{T}$ Symmetry in a Non-Hermitian Su-Schrieffer-Heeger Chain with Periodic Hopping Modulation
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices
• Quantum-vacuum-protected topological edge polaritons
• Size-Dependent Skin Effect Transitions in Weakly Coupled Non-Reciprocal Chains
• Non-Hermitian topological wall modes in rotating Rayleigh-Benard convection
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
• Solution of Wave Acceleration and Non-Hermitian Jump in Nonreciprocal Lattices
• Recent progress on disorder-induced topological phases
• A Hermitian bypass to the non-Hermitian quantum theory
• Unified Multipole Bott Indices for Non-Hermitian Skin Effect in Different Orders
• Anomalous Point-Gap Interactions Unveil the Mirage Bath
• Exceptional Luttinger Liquids from sublattice dependent interaction
• Geometric origin of self-intersection points in non-Hermitian energy spectra
• Generic non-Hermitian mobility edges in a class of duality-breaking quasicrystals
• Recurrence method in Non-Hermitian Systems
• 1D Spontaneous Symmetry Breaking in thermal equilibrium via Non-Hermitian Construction
• Non-Hermitian physics and topological phenomena in convective thermal metamaterials
• Observation of non-Hermitian point gap in photonic crystals
• Covariant formulation of the Berry connection in non-Hermitian systems
• Topological Classification of Gapped/Gap-preserving Rational Space-Time Crystal Systems
• Non-Hermitian Higher-Order Weyl Semimetals
• Arbitrary Control of Non-Hermitian Skin Modes via Disorder and An Electric Field
• Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems
• Scaling rule in critical non-Hermitian skin effect
• Quasiperiodic Skin Criticality in an Exactly Solvable Non-Hermitian Quasicrystal
• Nonreciprocity Induced Fractional Nonlinear Thouless Pumping
• Liouvillian topology and nonreciprocal dynamics in open Floquet chains
• Coexistence of topological Anderson insulator and multifractal critical phase in a non-Hermitian quasicrystal
• Insensitive nonreciprocal edge breathers
• Topological states of generalized dissipative Majorana wires
• Wiener-Hopf factorization and non-Hermitian topology for Amoeba formulation in one-dimensional multiband systems
• Large Chern numbers in a dissipative dice model
• Topology of the generalized Brillouin zone of one-dimensional models
• Interacting many-body non-Hermitian systems as Markov chains
• Supermetal-insulator transition in a non-Hermitian network model
• Emulating non-Hermitian dynamics in a finite non-dissipative quantum system
• Reversing non-Hermitian skin accumulation with a non-local transverse switch
• Floquet multiple exceptional points with higher-order skin effect
• Symmetry and Topology of Successive Quantum Feedback Control
• Emergence of non-trivial phases in interacting non-Hermitian quasiperiodic chains with power-law hopping
• Physical constraints on effective non-Hermitian systems
• Exceptional flat bands in bipartite non-Hermitian lattices
• Algebraic States in Continuum in $d>1$ Dimensional Non-Hermitian Systems
• Eigenvalue and pseudospectrum processes generated by nonnormal Toeplitz matrices with rank 1 perturbations
• Anatomy of Non-Hermitian Dynamical Quantum Phase Transitions
• Winding-control mechanism of non-Hermitian systems
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays
• Beyond characteristic equations: A unified one-dimensional non-Bloch band theory via wavefunction data
• Liouvillian skin effects in two-dimensional electron systems at finite temperatures
• Emergence of Hermitian topology from non-Hermitian knots
• Non-Hermitian Higher-Order Dirac Semimetals
• Self-healing of non-Hermitian topological skin modes
• Topology of the simplest gene switch