Anatomy of skin modes and topology in non-Hermitian systems

Abstract

A non-Hermitian system can exhibit extensive sensitivity of its complex energy spectrum to the imposed boundary conditions, which is beyond any known phenomenon from Hermitian systems. In addition to topologically protected boundary modes, macroscopically many ``skin'' boundary modes may appear under open boundary conditions. We rigorously derive universal results for characterizing all avenues of boundary modes in non-Hermitian systems for arbitrary hopping range. For skin modes, we introduce how exact energies and decay lengths can be obtained by threading an imaginary flux. Furthermore, for 1D topological boundary modes, we derive a new generic criterion for their existence in non-Hermitian systems which, in contrast to previous formulations, does not require specific tailoring to the system at hand. Our approach is intimately based on the complex analytical properties of in-gap exceptional points, and gives a lower bound for the winding number related to the vorticity of the energy Riemann surface. It also reveals that the topologically nontrivial phase is partitioned into subregimes where the boundary mode's decay length depends differently on complex momenta roots.

16 pages, 7 figures

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Cited by in corpus (551)

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• Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
• Non-reciprocal robotic metamaterials
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• Universal non-Hermitian skin effect in two and higher dimensions
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• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
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• Observation of non-Bloch parity-time symmetry and exceptional points
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• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Non-Hermitian systems and topology: A transfer-matrix perspective
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• Realization of active metamaterials with odd micropolar elasticity
• Perspective on topological states of non-Hermitian lattices
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• Observation of non-Hermitian topological Anderson insulator in quantum dynamics
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• Non-Hermitian Edge Burst
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• Simulating hyperbolic space on a circuit board
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• Unraveling non-Hermitian pumping: emergent spectral singularities and anomalous responses
• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
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• Mirror skin effect and its electric circuit simulation
• Non-Hermitian second-order skin and topological modes
• Non-reciprocal topological solitons in active metamaterials
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• Unraveling the Non-Hermitian Skin Effect in Dissipative Systems
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• Nonreciprocal response theory of nonhermitian mechanical metamaterials: response phase transition from the skin effect of zero modes
• Non-Hermitian Skin Effects in Hermitian Correlated/Disordered Systems: Boundary-Sensitive/Insensitive Quantities and Pseudo Quantum Number
• Geometric classification of non-Hermitian topological systems through the singularity ring
• Non-Hermitian fractional quantum Hall states
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• Non-Hermitian topology of spontaneous magnon decay
• Topological classification of defects in non-Hermitian systems
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• Braiding of Majorana corner states in electric circuits and its non-Hermitian generalization
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• Anomalous Skin Effects in Disordered Systems with a Single non-Hermitian Impurity
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• Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
• Topological band theory for non-Hermitian systems from the Dirac equation
• Non-reciprocal transport of Exciton-Polaritons in a non-Hermitian chain
• Anomalous Floquet non-Hermitian skin effect in a ring resonator lattice
• Bulk-boundary correspondence in non-Hermitian systems: stability analysis for generalized boundary conditions
• Magnetic suppression of non-Hermitian skin effects
• Non-Bloch $\mathcal{P}\mathcal{T}$ symmetry breaking in non-Hermitian Photonic Quantum Walks
• Fate of the non-Hermitian skin effect in many-body fermionic systems
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• Delocalization of topological edge states
• Quantized classical response from spectral winding topology
• Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices
• Higher-Order Weyl-Exceptional-Ring Semimetals
• Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
• Synthetic band-structure engineering in polariton crystals with non-Hermitian topological phases
• Non-Hermitian Topological Phases: Principles and Prospects
• Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
• Detecting non-Bloch topological invariants in quantum dynamics
• Non-Hermitian Pseudo-Gaps
• Higher rank chirality and non-Hermitian skin effect in a topolectrical circuit
• Non-Hermitian skin effect beyond the tight-binding models
• Exceptional non-Hermitian topological edge mode and its application to active matter
• Dynamical characterization of non-Hermitian Floquet topological phases in one-dimension
• Equivalence of the effective non-hermitian Hamiltonians in the context of open quantum systems and strongly-correlated electron systems
• Non-Hermitian Photonic Lattices: tutorial
• Ultrafast and Anharmonic Rabi Oscillations between Non-Bloch-Bands
• Accumulation of scale-free localized states induced by local non-Hermiticity
• Non-Hermitian physics without gain or loss: the skin effect of reflected waves
• Topological semimetal phase with exceptional points in one-dimensional non-Hermitian systems
• Bulk-edge correspondence and long range hopping in the topological plasmonic chain
• Dimensional transmutation from non-Hermiticity
• Exact solution of single impurity problem in non-reciprocal lattices: impurity induced size-dependent non-Hermitian skin effect
• Hermitian zero modes protected by nonnormality: Application of pseudospectra
• Non-Hermitian Boundary State Engineering in Anomalous Floquet Topological Insulators
• Dimerization induced mobility edges and multiple reentrant localization transitions in non-Hermitian quasicrystals
• Fate of fractional quantum Hall states in open quantum systems: characterization of correlated topological states for the full Liouvillian
• Non-Hermitian Topological Metamaterials with Odd Elasticity
• Geometric Origin of Non-Bloch PT Symmetry Breaking
• Spectral deformations in non-Hermitian lattices with disorder and skin effect: a solvable model
• Topological Phase Transition Independent of System Non-Hermiticity
• $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian Dirac semimetals
• Non-Hermitian band topology with generalized inversion symmetry
• Non-Hermitian skin effect of dislocations and its topological origin
• Topology and Observables of the Non-Hermitian Chern Insulator
• Dual topological characterization of non-Hermitian Floquet phases
• Engineering Non-Hermitian Skin Effect with Band Topology in Ultracold Gases
• Non-Newtonian Topological Mechanical Metamaterials Using Feedback Control
• Observation of non-Hermitian edge burst in quantum dynamics
• Non-Hermitian Floquet Topological Matter -- A Review
• Non-Hermitian Mott Skin Effect
• Non-Hermitian generalizations of extended Su-Schrieffer-Heeger models
• Exceptional points and the topology of quantum many-body spectra
• Dynamical Degeneracy Splitting and Directional Invisibility in Non-Hermitian Systems
• Non-Hermitian Chiral Skin Effect
• Curving the space by non-Hermiticity
• Scale-free localization and PT symmetry breaking from local non-Hermiticity
• Anisotropic exceptional points of arbitrary order
• Universal competitive spectral scaling from the critical non-Hermitian skin effect
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• Photonic corner skin modes
• Hermitian Bulk -- Non-Hermitian Boundary Correspondence
• Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
• Non-Bloch band theory and bulk-edge correspondence in non-Hermitian systems
• Dynamical nonlinear higher-order non-Hermitian skin effects and topological trap-skin phase
• Unsupervised Learning of Non-Hermitian Topological Phases
• A non-Hermitian optical atomic mirror
• Hidden Chern number in one-dimensional non-Hermitian chiral-symmetric systems
• Zoology of non-Hermitian spectra and their graph topology
• Topological origin of non-Hermitian skin effect in higher dimensions and uniform spectra
• Sensitivity of non-Hermitian systems
• Bulk-Bulk Correspondence in Disordered Non-Hermitian Systems
• Topology and exceptional points of massive Dirac models with generic non-Hermitian perturbations
• Scale-tailored localization and its observation in non-Hermitian electrical circuits
• Real-Time Steering of Curved Sound Beams in a Feedback-based Topological Acoustic Metamaterial
• Non-Hermitian skin effect in magnetic systems
• Realization and Topological Properties of Third-Order Exceptional Lines Embedded in Exceptional Surfaces
• Non-Hermitian Topological End-Mode Lasing in Polariton Systems
• Defective Majorana zero modes in non-Hermitian Kitaev chain
• Non-Hermitian Majorana modes protect degenerate steady states
• Loss-induced Floquet non-Hermitian skin effect
• Unconventional scaling at non-Hermitian critical points
• Non-Hermitian dislocation modes: Stability and melting across exceptional points
• Symmetry and topological classification of Floquet non-Hermitian systems
• Non-Hermitian Squeezed Polarons
• Geometry-dependent skin effects in reciprocal photonic crystals
• Experimental observation of non-Hermitian higher-order skin interface states in topological electric circuits
• From the topological spin-Hall effect to the non-Hermitian skin effect in an elliptical micropillar chain
• Theoretical Prediction of Non-Hermitian Skin Effect in Ultracold Atom Systems
• Ring Structure in the Complex Plane: A Fingerprint of non-Hermitian Mobility Edge
• Untying links through anti-parity-time-symmetric coupling
• Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Non-Hermitian Dynamic Strings and Anomalous Topological Degeneracy on non-Hermitian Toric-code Model with Parity-time Symmetry
• Non-Hermitian phase transition and eigenstate localization induced by asymmetric coupling
• Bulk-boundary correspondence in point-gap topological phases
• Topological spin excitations in non-Hermitian spin chains with a generalized kernel polynomial algorithm
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• Circuit realisation of a two-orbital non-Hermitian tight-binding chain
• Topological origin of quantized transport in non-Hermitian Floquet chains
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• Exact solution of the Bose Hubbard model with unidirectional hopping
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• Topology in non-Hermitian Chern insulators with skin effect
• Non-Hermitian elastic waveguides with piezoelectric feedback actuation: non-reciprocal bands and skin modes
• Non-Hermitian Maryland Model
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• Non-Hermitian skin effects on many-body localized and thermal phases
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• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Lieb-Schultz-Mattis Theorem in Open Quantum Systems
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• Symmetry Indicators for Inversion-Symmetric Non-Hermitian Topological Band Structures
• Dynamic skin effects in non-Hermitian systems
• Many-body non-Hermitian skin effect under dynamic gauge coupling
• Classification of topological phases in one dimensional interacting non-Hermitian systems and emergent unitarity
• System size dependent topological zero modes in coupled topolectrical chains
• Non-Bloch quench dynamics
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• Manipulating non-reciprocity in a two-dimensional magnetic quantum walk
• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
• General corner states in 2D SSH model with intracelluar next-nearest-neighbour hopping
• Always-Real-Eigenvalued Non-Hermitian Topological Systems
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• Non-Hermitian boundary spectral winding
• The fate of reentrant localization phenomenon in the one-dimensional dimerized quasiperiodic chain with long-range hopping
• Topological invariants, zero mode edge states and finite size effect for a generalized non-reciprocal Su-Schrieffer-Heeger model
• The topological counterparts of non-Hermitian SSH models
• Real spectra in non-Hermitian topological insulators
• Exceptional points in the one-dimensional Hubbard model
• Non-Hermitian pseudo mobility edge in a coupled chain system
• Floquet engineering and simulating exceptional rings with a quantum spin system
• Non-Hermitian skin effect edge
• Amplification of quantum signals by the non-Hermitian skin effect
• 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
• Manipulating non-Hermitian skin effect via electric fields
• Extended Bloch theorem for topological lattice models with open boundaries
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Anatomy of open-boundary bulk in multiband non-Hermitian systems
• Observation of non-Hermitian antichiral edge currents
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• Experimental observation of exceptional bound states in a classical circuit network
• Topological enhancement of non-normality in non-Hermitian skin effects
• Erratic non-Hermitian skin localization
• Dynamical robustness of topological end states in nonreciprocal Su-Schrieffer-Heeger models with open boundary conditions
• Stochastic non-Hermitian skin effect
• Double exceptional links in a three-dimensional dissipative cold atomic gas
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Percolation-induced PT symmetry breaking
• The Bulk-boundary Correspondence in Non-Hermitian Hopf-link Exceptional Line Semimetals
• Generalized Quantum Geometric Tensor in a Non-Hermitian Exciton-Polariton System
• Incoherent non-Hermitian skin effect in photonic quantum walks
• Direction reversal of non-Hermitian skin effect via coherent coupling
• Non-Hermitian topology in rock-paper-scissors games
• Activating non-Hermitian skin modes by parity-time symmetry breaking
• Edge theory of non-Hermitian skin modes in higher dimensions
• Non-Hermitian topological end breathers
• Scale-free non-Hermitian skin effect in a boundary-dissipated spin chain
• Degeneracy and defectiveness in non-Hermitian systems with open boundary
• Green's functions of multiband non-Hermitian systems
• Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
• Engineering Dissipative Quasicrystals
• Universal scalefree non-Hermitian skin effect near the Bloch point
• Absence of logarithmic and algebraic scaling entanglement phases due to skin effect
• Skin effect and dynamical delocalization in non-Hermitian quasicrystals with spin-orbit interaction
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Two-dimensional quantum walk with non-Hermitian skin effects
• Non-Hermitian Topology in Hermitian Topological Matter
• Robust localized zero-energy modes from locally embedded PT-symmetric defects
• Fate of exceptional points under interactions: Reduction of topological classifications
• Probing non-Hermitian phase transitions in curved space via quench dynamics
• Topological delocalization transitions and mobility edges in the nonreciprocal Maryland model
• Hybrid scale-free skin effect in non-Hermitian systems: A transfer matrix approach
• Machine learning non-Hermitian topological phases
• Irrational Non-Abelian Statistics for Non-Hermitian Generalization of Majorana Zero Modes
• Universal non-Hermitian transport in disordered systems
• Non-reciprocal Exciton-Polariton Ring Lattices
• Non-Bloch band theory for non-Hermitian continuum systems
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Generalized Bloch band theory for non-Hermitian bulk-boundary correspondence
• Non-Hermitian Second-Order Topological Phases and Bipolar Skin Effect in Photonic Kagome Crystals
• Non-Hermitian impurities in Dirac systems
• Non-Hermitian Skin Effect in Periodically-Driven Dissipative Ultracold Atoms
• Statistical mechanics for non-Hermitian quantum systems
• Damping transition in an open generalized Aubry-André-Harper model
• Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
• Kinked linear response from non-Hermitian cold-atom pumping
• Asymmetric transfer matrix analysis of Lyapunov exponents in one-dimensional non-reciprocal quasicrystals
• Non-normal Hamiltonian dynamics in quantum systems and its realization on quantum computers
• Anomalous Andreev Spectrum and Transport in Non-Hermitian Josephson Junctions
• Nonlinear Non-Hermitian Landau-Zener-Stückelberg-Majorana interferometry
• Modified Generalized-Brillouin-Zone Theory with On-site Disorders
• Evidencing non-Bloch dynamics in temporal topolectrical circuits
• Topological characterization of non-Hermitian multiband systems using Majorana's Stellar Representation
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice
• Exact Solutions Disentangle Higher-Order Topology in 2D Non-Hermitian Lattices
• Steady-state edge burst: From free-particle systems to interaction-induced phenomena
• Observation of size-dependent boundary effects in non-Hermitian electric circuits
• Characterizing the Bulk-Boundary Correspondence of one-dimensional non-Hermitian interacting systems by edge entanglement entropy
• Correlation effects on non-Hermitian point-gap topology in zero dimension: reduction of topological classification
• Non-Hermitian topological mobility edges and transport in photonic quantum walks
• Exact formulas of the end-to-end Green's functions in non-Hermitian systems
• Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
• Tunable two-dimensional laser arrays with zero-phase locking
• Non-Hermitian edge burst without skin localizations
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Filling up complex spectral regions through non-Hermitian disordered chains
• Emergent conservation in Floquet dynamics of integrable non-Hermitian models
• Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system
• Scaling laws for non-Hermitian skin effect with long-range couplings
• Non-Hermitian topological ohmmeter
• Real Non-Hermitian Energy Spectra Without Any Symmetry
• Non-Hermitian second-order topological superconductors
• Many-body Non-Hermitian Skin Effect At Finite Temperatures
• A renormalization group approach to non-Hermitian topological quantum criticality
• Topological properties of non-Hermitian Creutz Ladders
• Topological superconductivity enhanced by exceptional points
• $\mathcal{P}\mathcal{T}$ symmetry of the Su-Schrieffer-Heeger model with imaginary boundary potentials and next-nearest-neighboring coupling
• Non-Hermitian chiral anomalies
• Probing two-body exceptional points in open dissipative systems
• Universal characteristics of one-dimensional non-Hermitian superconductors
• Non-Hermitian Hartman effect
• Spectral structure and doublon dissociation in the two-particle non-Hermitian Hubbard model
• Braiding Topology of Non-Hermitian Open-Boundary Bands
• Characterizing and Tuning Exceptional Points Using Newton Polygons
• Fate of Two-Particle Bound States in the Continuum in non-Hermitian Systems
• Non-Hermitian topological phases and skin effects in kagome lattices
• Exact complex mobility edges and flagellate spectra for non-Hermitian quasicrystals with exponential hoppings
• Modulational Instability and Dynamical Growth Blockade in the Nonlinear Hatano-Nelson Model
• Non-Hermitian Avalanche Effect: Non-Perturbative Effect Induced by Local Non-Hermitian Perturbation on a Z2 Topological Order
• Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
• Emerging exceptional point with breakdown of skin effect in non-Hermitian systems
• Alice string in Non-Hermitian Systems
• Dynamical signatures of point-gap Weyl semimetal
• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
• Universal scaling of Green's functions in disordered non-Hermitian systems
• Localization-Delocalization Transitions in Non-Hermitian Aharonov-Bohm Cages
• Skin Effect in Quadratic Lindbladian Systems: an Adjoint Fermion Approach
• Point-Gap Bound States in Non-Hermitian Systems
• Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices
• Non-Hermitian skin effect in a spin-orbit-coupled Bose-Einstein condensate
• Boundary sensitive Lindbladians and relaxation dynamics
• Hermitian Topologies originating from non-Hermitian braidings
• Non-Bloch PT symmetry breaking: Universal threshold and dimensional surprise
• State-dependent Topological Invariants and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
• Observation of non-local impedance response in a passive electrical circuit
• Bulk-edge correspondence and trapping at a non-Hermitian topological interface
• Nontrivial worldline winding in non-Hermitian quantum systems
• Imaginary gap-closed points and dynamics in a class of dissipative systems
• Non-Hermitian topological phase transitions in superlattices and the optical Dirac equation
• Multifractality of many-body non-Hermitian skin effect
• Selective and tunable excitation of topological non-Hermitian skin modes
• Quantum probing topological phase transitions by non-Markovianity
• Helical resonant transport and purified amplification at an exceptional point
• Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
• 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
• Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
• Fundamental constraints on the observability of non-Hermitian effects in passive systems
• Topological transitions in dissipatively coupled Su-Schrieffer-Heeger models
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
• Measurement-Induced Entanglement Phase Transition in Free Fermion Systems
• Non-Hermitian boost deformation
• Topological circuit of a versatile non-Hermitian quantum system
• Critical and non critical non-Hermitian topological phase transitions in one dimensional chains
• Exact non-Hermitian mobility edges and robust flat bands in two-dimensional Lieb lattices with imaginary quasiperiodic potentials
• Non-Hermiticity stabilized Majorana zero modes in semiconductor-superconductor nanowires
• Lindbladian dynamics with loss of quantum jumps
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Fate of non-Hermitian free fermions with Wannier-Stark ladder
• Correlations in non-Hermitian systems and Diagram techniques for the steady state
• Thermodynamics and entanglement entropy of the non-Hermitian SSH model
• Magnetic Flux Response of Non-Hermitian Topological Phases
• Space-Time Duality between Quantum Chaos and Non-Hermitian Boundary Effect
• Biorthogonal topological charge pumping in non-Hermitian systems
• Discriminant indicators with generalized inversion symmetry
• Numerical instability of non-Hermitian Hamiltonian evolutions
• Detecting bulk and edge exceptional points in non-Hermitian systems through generalized Petermann factors
• Extended imaginary gauge transformation in a general nonreciprocal lattice
• Engineering imaginary stark ladder in a dissipative lattice: passive $\mathcal{P}\mathcal{T}$ symmetry, K symmetry and localized damping
• Information constraint in open quantum systems
• Non-Hermitian skin effect enforced by nonsymmorphic symmetries
• Universal spectral moment theorem and its applications in non-Hermitian systems
• Effective impurity behavior emergent from non-Hermitian proximity effect
• Hilbert space fragmentation imposed real spectrum of non-Hermitian systems
• Tailoring Bound State Geometry in High-Dimensional Non-Hermitian Systems
• Non-Hermitian Quantum Fractals
• Boundary-dependent dynamical instability of bosonic Green's function: Dissipative Bogoliubov-de Gennes Hamiltonian and its application to non-Hermitian skin effect
• Entanglement Hamiltonian and effective temperature of non-Hermitian quantum spin ladders
• Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
• Eigenstate clustering around exceptional points
• Non-Hermitian skin effect in a single trapped ion
• Scale-free localization versus Anderson localization in unidirectional quasiperiodic lattices
• Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
• General mapping of one-dimensional non-Hermitian mosaic models to non-mosaic counterparts: Mobility edges and Lyapunov exponents
• Non-Hermitian semi-Dirac semi-metals
• Concentrated subradiant modes in one-dimensional atomic array coupled with chiral waveguides
• Anomalous pumping in the non-Hermitian Rice-Mele model
• Edge states in a non-Hermitian topological crystalline insulator
• Majorana zero-modes in a dissipative Rashba nanowire
• Coexistence of non-Hermitian skin effect and extended states in one-dimensional nonreciprocal lattices
• Quantum circuit for measuring an operator's generalized expectation values and its applications to non-Hermitian winding numbers
• Field Theoretical Study of Disorder in Non-Hermitian Topological Models
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Non-Hermitian skin effect and lasing of absorbing open-boundary modes in photonic crystals
• Localization and topological transitions in generalized non-Hermitian SSH models
• Dynamics in non-Hermitian systems with nonreciprocal coupling
• Symmetry classes of dissipative topological insulators with edge dark state
• Fate of pseudo mobility-edge and multiple states in non-Hermitian Wannier-Stark lattice
• Non-Hermitian superconducting diode effect
• Emergent $\mathcal{P}\mathcal{T}$-symmetry breaking of collective modes with topological critical phenomena
• Non-Bloch dynamics and topology in a classical non-equilibrium process
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Excitation Transmission through a non-Hermitian traversable wormhole
• Competing topological phases in a non-Hermitian time-reversal symmetry-broken Bernevig-Hughes-Zhang model
• Defective Edge states and Anomalous Bulk-boundary Correspondence for Topological Insulators under Non-Hermitian Similarity Transformation
• Entangelment Entropy on Generalized Brillouin Zone
• Exceptional magic angles in non-Hermitian twisted bilayer graphene
• General theory for infernal points in non-Hermitian systems
• Controlled probing of localization effects in the non-Hermitian Aubry-André model via topolectrical circuits
• Generalized topological bulk-edge correspondence in bulk-Hermitian continuous systems with non-Hermitian boundary conditions
• Nonlinear Hall effects with an exceptional ring
• Non-Bloch Dirac Points and Phase Diagram in the Stacked Non-Hermitian SSH Model
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
• Abnormal Frequency Response Determined by Saddle Points in Non-Hermitian Crystal Systems
• The Quantum Skin Hall Effect
• Experimental probe of band structures of bilayer valley photonic crystals
• Topological phase transition in fluctuating imaginary gauge fields
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Anomalous hybridization of spectral winding topology in quantized steady-state responses
• Dissipative two-dimensional Raman lattice
• Non-Hermitian quantum gases: a platform for imaginary time crystals
• Observation of non-Hermitian many-body skin effects in Hilbert space
• Multiple topological transitions and spectral singularities in non-Hermitian Floquet systems
• Liouvillian skin effect in quantum neural networks
• Many-body critical non-Hermitian skin effect
• Phase transitions as a manifestation of spontaneous unitarity violation
• Topologically compatible non-Hermitian skin effect
• One-dimensional non-Hermitian band structures as Riemann surfaces
• Machine learning of mirror skin effects in the presence of disorder
• Inverse Design of Winding Tuple for Non-Hermitian Topological Edge Modes
• Topological Phase Transition of A Non-Hermitian Crosslinked Chain
• Loss-induced universal one-way transport in periodically driven systems
• Emergent Non-Hermitian Edge Polarisation in an Hermitian Tight-binding Model
• Optical pumping through the Liouvillian skin effect
• Topological directed amplification
• Topological characteristics of gap closing points in nonlinear Weyl semimetals
• Topology and its detection in a dissipative Aharonov-Bohm chain
• Distinguishability Transitions in Non-Unitary Boson Sampling Dynamics
• Exceptional second-order topological insulators
• Theory for the spectral splitting exponent of exceptional points
• Phase transitions in non-Hermitian superlattices
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Impurity in a Fermi gas under non-Hermitian spin-orbit coupling
• Tentaclelike spectra and bound states in Hatano-Nelson chain with long-range impurity coupling
• Quantized electrical, thermal, and spin transports of non-Hermitian clean and dirty two-dimensional topological insulators and superconductors
• Discriminant indicator with generalized rotational symmetry
• Nonlinear skin breathing modes in one-dimensional nonreciprocal mechanical lattices
• Quantum Pontus-Mpemba Effect Enabled by the Liouvillian Skin Effect
• Cutting off the non-Hermitian boundary from an anomalous Floquet topological insulator
• Non-Hermitian dynamical topological winding in photonic mesh lattices
• Winding Topology of Multifold Exceptional Points
• Model non-Hermitian topological operators without skin effect: A general principle of construction
• Non-Hermitian ultra-strong bosonic clustering through interaction-induced caging
• Renormalization approach to the analysis and design of Hermitian and non-Hermitian interfaces
• Exact solutions of non-Hermitian chains with asymmetric long-range hopping under specific boundary conditions
• Pseudo-Hermitian Topology of Multiband 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
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Defect-driven incoherent skin localization
• Dissolution of the non-Hermitian skin effect in one-dimensional lattices with linearly varying nonreciprocal hopping
• Topological phases of many-body non-Hermitian systems
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• Phase Diagram of a Non-Hermitian Chern Insulator: Destabilization of Chiral Edge States and Bulk-Boundary Correspondence
• Topologically protected negative entanglement
• Hermitian and non-Hermitian topology in active matter
• Experimental observation of energy-band Riemann surface
• Unifying Anderson transitions and topological amplification in non-Hermitian chains
• Band topology of pseudo-Hermitian phases through tensor Berry connections and quantum metric
• Exceptionally deficient topological square-root insulators
• An Explicit Wavefunction of the Interacting Non-Hermitian Spin-1/2 1D System
• Non-Hermitian Hopf insulators
• Non-Abelian geometry, topology, and dynamics of a nonreciprocal Su-Schrieffer-Heeger ladder
• Unified Bulk-Entanglement Correspondence in Non-Hermitian Systems
• The quantum phase transitions of dimer chain driven by an imaginary ac field
• Concurrent Skin-scale-free Localization and Criticality under Möbius Boundary Conditions in a Non-Hermitian Ladder
• High-fidelity multipartite entanglement creation in non-Hermitian qubits
• Topological spin textures in electronic non-Hermitian systems
• Anatomy of Higher-Order Non-Hermitian Skin and Boundary Modes
• Entanglement manifestation of knot topology in a non-Hermitian lattice
• A Hermitian bypass to the non-Hermitian quantum theory
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
• Dynamical non-Hermitian systems: Fingerprints and pure dephasing induced protection effect
• Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su-Schrieffer-Heeger Model with Nonreciprocal Hoppings
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices
• Gaussian eigenstate pinning in non-Hermitian quantum mechanics
• Tailoring Corner States and Exceptional Points in Altermagnets
• Real and imaginary edge states in stacked Floquet honeycomb lattices
• Topological Amplification of the Bosonic Kitaev Chain with Non-Uniform Loss
• Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials
• Size-Dependent Skin Effect Transitions in Weakly Coupled Non-Reciprocal Chains
• Quantum-vacuum-protected topological edge polaritons
• Nodal Spectral Functions Stabilized by Non-Hermitian Topology of Quasiparticles
• Topological Phase Transitions and Edge-State Transfer in Time-Multiplexed Quantum Walks
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
• Optimal spectral transport of non-Hermitian systems
• Real spectra and phase transition of skin effect in nonreciprocal systems
• Topology and edge modes surviving criticality in non-Hermitian Floquet systems
• Anomalous Non-Hermitian Topological Anderson Insulator
• Liouvillian topology and nonreciprocal dynamics in open Floquet chains
• Wiener-Hopf factorization and non-Hermitian topology for Amoeba formulation in one-dimensional multiband systems
• Emulating non-Hermitian dynamics in a finite non-dissipative quantum system
• Topology of the generalized Brillouin zone of one-dimensional models
• Interacting many-body non-Hermitian systems as Markov chains
• $q$th-root non-Hermitian Floquet topological insulators
• Reversing non-Hermitian skin accumulation with a non-local transverse switch
• Exceptional flat bands in bipartite non-Hermitian lattices
• Hall conductance of a non-Hermitian two-band system with k-dependent decay rates
• Algebraic States in Continuum in $d>1$ Dimensional Non-Hermitian Systems
• Generic non-Hermitian mobility edges in a class of duality-breaking quasicrystals
• Dynamic manifestation of exception points in a non-Hermitian continuous model with an imaginary periodic potential
• Self-healing of non-Hermitian topological skin modes
• Winding-control mechanism of non-Hermitian systems
• One-directional polarization transport in electron/nuclear spin chains with loss and gain
• Beyond characteristic equations: A unified one-dimensional non-Bloch band theory via wavefunction data
• Non-orientable Exceptional Points in Twisted Boundary Systems
• Liouvillian skin effects in two-dimensional electron systems at finite temperatures
• Geometric origin of self-intersection points in non-Hermitian energy spectra
• Insensitive nonreciprocal edge breathers