Topological Phase Transition Independent of System Non-Hermiticity

Abstract

Non-Hermiticity can vary the topology of system, induce topological phase transition, and even invalidate the conventional bulk-boundary correspondence. Here, we show the introducing of non-Hermiticity without affecting the topological properties of the original chiral symmetric Hermitian systems. Conventional bulk-boundary correspondence holds, topological phase transition and the (non)existence of edge states are unchanged even though the energy bands are inseparable due to non-Hermitian phase transition. Chern number for energy bands of the generalized non-Hermitian system in two dimension is proved to be unchanged and favorably coincides with the simulated topological charge pumping. Our findings provide insights into the interplay between non-Hermiticity and topology. Topological phase transition independent of non-Hermitian phase transition is a unique feature that beneficial for future applications of non-Hermitian topological materials.

arXiv comment17 pages, 6 figures

References in corpus (115)

• Topological Insulators
• Berry Phase Effects on Electronic Properties
• Topological Photonics
• Topological Photonics
• 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
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Edge states and topological invariants of non-Hermitian systems
• Imaging topological edge states in silicon photonics
• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Robust optical delay lines via topological protection
• Topological phases of non-Hermitian systems
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Acoustic topological insulator and robust one-way sound transport
• Topological Band Theory for Non-Hermitian Hamiltonians
• Topological States and Adiabatic Pumping in Quasicrystals
• Coherent Perfect Absorbers: Time-reversed Lasers
• 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
• Topological Bands for Ultracold Atoms
• Visualization of Branch Points in PT-Symmetric Waveguides
• Non-Hermitian Chern bands
• Spawning rings of exceptional points out of Dirac cones
• Anatomy of skin modes and topology in non-Hermitian systems
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Topolectrical circuits
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• Floquet Topological Insulators for Sound
• Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
• Topology by Dissipation in Atomic Quantum Wires
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Biorthogonal Quantum Mechanics
• Edge states and topological phases in non-Hermitian systems
• Hybrid higher-order skin-topological modes in non-reciprocal systems
• Second-Order Topological Phases in Non-Hermitian Systems
• Topological Transition in a Non-Hermitian Quantum Walk
• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide
• 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
• Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
• Topological Hybrid Silicon Microlasers
• Topologically protected midgap states in complex photonic lattices
• Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
• Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
• The emergence, coalescence and topological properties of multiple exceptional points and their experimental realization
• New topological invariants in non-Hermitian systems
• Optical Resonator Analog of a Two-Dimensional Topological Insulator
• Experimental realization of a Weyl exceptional ring
• Photonic Topological Insulating Phase Induced Solely by Gain and Loss
• Topological states of non-Hermitian systems
• PT-symmetry in honeycomb photonic lattices
• 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
• Non-Hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence
• Symmetry-protected nodal phases in non-Hermitian systems
• Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
• Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
• The Chirality of Exceptional Points
• Non-Hermitian systems and topology: A transfer-matrix perspective
• Topological charge pumping in a one-dimensional optical lattice
• Anomalous helical edge states in a non-Hermitian Chern insulator
• Flat Band in Disorder Driven Non-Hermitian Weyl Semimetals
• Geometric phase around exceptional points
• Non-Bloch topological invariants in a non-Hermitian domain-wall system
• Dynamically encircling exceptional points: in situ control of encircling loops and the role of the starting point
• Non-Hermitian Hopf-Link Exceptional Line Semimetals
• Parity-time-symmetric topological superconductor
• Higher-order topological electric circuits and topological corner resonance on the breathing Kagome and pyrochlore lattices
• Non-Hermitian higher-order topological states in nonreciprocal and reciprocal systems with their electric-circuit realization
• Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence
• Effects of non-Hermitian perturbations on Weyl Hamiltonians with arbitrary topological charges
• Topological phases and edge states in a non-Hermitian trimerized optical lattice
• Knotted Non-Hermitian Metals
• Topological phase in a non-Hermitian PT symmetric system
• Topological invariants and phase diagrams for one-dimensional two-band non-Hermitian systems without chiral symmetry
• Topologically Enhanced Harmonic Generation in a Nonlinear Transmission Line Metamaterial
• Incident Direction Independent Wave Propagation and Unidirectional Lasing
• Topological classification of non-Hermitian systems with reflection symmetry
• Topological quantum wires with balanced gain and loss
• Topological symmetry classes for non-Hermitian models and connections to the bosonic Bogoliubov-de Gennes equation
• Parametric amplification and bidirectional invisibility in PT-symmetric time-Floquet systems
• Edge states at the interface of non-Hermitian systems
• Exceptional points in topological edge spectrum of PT symmetric domain walls
• Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals
• Unidirectional Localization of Photons
• PT Symmetric Aubry-Andre Model
• Braiding of Majorana corner states in electric circuits and its non-Hermitian generalization
• Su-Schrieffer-Heeger chain with one pair of PT-symmetric defects
• Majorana Edge Modes with Gain and Loss
• Theory of superconductivity with non-Hermitian and parity-time reversal symmetric cooper pairing symmetry
• Topological protection from exceptional points in Weyl and nodal line semimetals
• Effects of Non-Hermiticity on Su-Schrieffer-Heeger Defect States
• Detecting topological invariants in chiral symmetric insulators via losses
• Symmetry protected topological phases characterized by isolated exceptional points
• Bulk-edge correspondence in topological pumping
• Parity-time symmetric coupled asymmetric dimers
• Bulk and edge-state arcs in non-hermitian coupled-resonator arrays
• Partial topological Zak phase and dynamical confinement in non-Hermitian bipartite system
• Dynamical topological invariant for non-Hermitian Rice-Mele model
• Extended Bloch theorem for topological lattice models with open boundaries
• Spontaneously Broken Particle-Hole Symmetry in Photonic Graphene with Gain and Loss
• Majorana flat band edge modes of topological gapless phase in 2D Kitaev square lattice
• Wide-range-tunable Dirac-cone band structure in a chiral-time-symmetric non-Hermitian system
• Dynamical bulk-edge correspondence for nodal lines in parameter space
• PC-symmetry-protected edge states in interacting driven-dissipative bosonic systems

Cited by in corpus (36)

• Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
• Non-Hermitian band topology and skin modes in active elastic media
• Phase transitions in a non-Hermitian Aubry-André-Harper model
• Non-Hermitian exceptional Landau quantization in electric circuits
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• Defective Edge States and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
• Non-Hermitian skin effect and self-acceleration
• Higher-Order Weyl-Exceptional-Ring Semimetals
• Topological semimetal phase with exceptional points in one-dimensional non-Hermitian systems
• Spectral deformations in non-Hermitian lattices with disorder and skin effect: a solvable model
• Real space topological invariant and higher-order topological Anderson insulator in two-dimensional non-Hermitian systems
• Hidden Chern number in one-dimensional non-Hermitian chiral-symmetric systems
• Fate of zero modes in a finite Su-Schrieffer-Heeger Model with $\mathcal{P}\mathcal{T}$ Symmetry
• Berry connection induced anomalous wave-packet dynamics in non-Hermitian systems
• Defective Majorana zero modes in non-Hermitian Kitaev chain
• Untying links through anti-parity-time-symmetric coupling
• Non-Hermitian Dynamic Strings and Anomalous Topological Degeneracy on non-Hermitian Toric-code Model with Parity-time Symmetry
• Inversion symmetric non-Hermitian Chern insulator
• Non-Hermitian Maryland Model
• Boundary Condition Independence of Non-Hermitian Hamiltonian Dynamics
• The topological counterparts of non-Hermitian SSH models
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Irrational Non-Abelian Statistics for Non-Hermitian Generalization of Majorana Zero Modes
• Coupling-induced nonunitary and unitary scattering in anti-PT-symmetric non-Hermitian systems
• Ising chain with topological degeneracy induced by dissipation
• Helical resonant transport and purified amplification at an exceptional point
• Topological Phase Transition in Quasi-One-Dimensional Bismuth Iodide Bi4I4
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Defective Edge states and Anomalous Bulk-boundary Correspondence for Topological Insulators under Non-Hermitian Similarity Transformation
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Topological Phase Transition of A Non-Hermitian Crosslinked Chain
• Signature of edge states in resonant wave scattering
• Semi-localization transition driven by a single asymmetrical tunneling
• Adiabatic charge transport through non-Bloch bands
• Self-healing of non-Hermitian topological skin modes