Topology of anti-parity-time-symmetric non-Hermitian Su-Schrieffer-Heeger model

Abstract

We propose an anti-parity-time (anti-PT ) symmetric non-Hermitian Su-Schrieffer-Heeger (SSH) model, where the large non-Hermiticity constructively creates nontrivial topology and greatly expands the topological phase. In the anti-PT -symmetric SSH model, the gain and loss are alternatively arranged in pairs under the inversion symmetry. The appearance of degenerate point at the center of the Brillouin zone determines the topological phase transition, while the exceptional points unaffect the band topology. The large non-Hermiticity leads to unbalanced wavefunction distribution in the broken anti-PT -symmetric phase and induces the nontrivial topology. Our findings can be verified through introducing dissipations in every another two sites of the standard SSH model even in its trivial phase, where the nontrivial topology is solely induced by the dissipations.

9 pages, 5 figures

References in corpus (112)

• Classification of topological quantum matter with symmetries
• Edge states and topological invariants of non-Hermitian systems
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• Topological Band Theory for Non-Hermitian Hamiltonians
• Non-Bloch Band Theory of Non-Hermitian Systems
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Lasing in topological edge states of a 1D lattice
• Non-Hermitian Boundary Modes
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Probing topological invariants in the bulk of a non-Hermitian optical system
• Topolectrical circuits
• Non-Hermitian skin effect and chiral damping in open quantum systems
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
• Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Edge states and topological phases in non-Hermitian systems
• Topological Transition in a Non-Hermitian Quantum Walk
• Non-Hermitian Topological Invariants in Real Space
• 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
• Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
• Interplay of non-Hermitian skin effects and Anderson localization in non-reciprocal quasiperiodic lattices
• Higher-order non-Hermitian skin effect
• Experimental realization of a Weyl exceptional ring
• Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
• Photonic Topological Insulating Phase Induced Solely by Gain and Loss
• Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
• Higher-order topological corner states induced by gain and loss
• Active topological photonics
• PT-symmetry in honeycomb photonic lattices
• Exceptional rings in two-dimensional correlated systems with chiral symmetry
• Absence of topological insulator phases in non-Hermitian PT-symmetric Hamiltonians
• PT-Symmetry in Non-Hermitian Su-Schrieffer-Heeger model with complex boundary potentials
• Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
• Simultaneous Observation of Topological Edge State and Exceptional Point in an Open and Non-Hermitian System
• Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class
• Topological Phases in Non-Hermitian Aubry-André-Harper Models
• Topological defect engineering and PT-symmetry in non-Hermitian electrical circuits
• Non-Bloch topological invariants in a non-Hermitian domain-wall system
• Non-Hermitian Hopf-Link Exceptional Line Semimetals
• Parity-time-symmetric topological superconductor
• Metal-insulator phase transition in a non-Hermitian Aubry-André-Harper Model
• Topological Classification of Non-Hermitian Hamiltonians
• Breaking Anti-$\mathcal{P}\mathcal{T}$ Symmetry by Spinning a Resonator
• Higher-order topological electric circuits and topological corner resonance on the breathing Kagome and pyrochlore lattices
• Non-Bloch band collapse and chiral Zener tunneling
• Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence
• Skin effect and winding number in disordered non-Hermitian systems
• Effects of non-Hermitian perturbations on Weyl Hamiltonians with arbitrary topological charges
• Knotted Non-Hermitian Metals
• Winding Numbers and Generalized Mobility Edges in Non-Hermitian Systems
• Topological phase in a non-Hermitian PT symmetric system
• Non-Hermitian Topological Anderson Insulators
• Nonsymmorphic symmetry-required band crossings in topological semimetals
• Hall Conductance of a Non-Hermitian Chern Insulator
• Generalized bulk-edge correspondence for non-hermitian topological systems
• Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models
• Floquet Topological Phases of Non-Hermitian Systems
• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
• Mirror skin effect and its electric circuit simulation
• Phase transitions in a non-Hermitian Aubry-André-Harper model
• Topological quantum wires with balanced gain and loss
• Non-Hermitian exceptional Landau quantization in electric circuits
• Helical damping and anomalous critical non-Hermitian skin effect
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Non-Hermitian Weyl Physics in Topological Insulator Ferromagnet Junctions
• Defective Edge States and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
• Majorana Modes in Driven-Dissipative Atomic Superfluids With Zero Chern Number
• Topological states in non-Hermitian two-dimensional Su-Schrieffer-Heeger model
• Braiding of Majorana corner states in electric circuits and its non-Hermitian generalization
• Odd-time reversal $PT$ symmetry induced by anti-$PT$-symmetric medium
• Topological band theory for non-Hermitian systems from the Dirac equation
• Loss of Hall Conductivity Quantization in a Non-Hermitian Quantum Anomalous Hall Insulator
• Bulk-boundary correspondence in non-Hermitian systems: stability analysis for generalized boundary conditions
• Simulating Exceptional Non-Hermitian Metals with Single-Photon Interferometry
• Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices
• Exceptional non-Hermitian topological edge mode and its application to active matter
• Topological semimetal phase with exceptional points in one-dimensional non-Hermitian systems
• Bulk-edge correspondence and long range hopping in the topological plasmonic chain
• Topology and Observables of the Non-Hermitian Chern Insulator
• Dynamic winding number for exploring band topology
• 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
• Non-Hermitian Majorana modes protect degenerate steady states
• Bulk and edge-state arcs in non-hermitian coupled-resonator arrays
• Non-Hermitian Dynamic Strings and Anomalous Topological Degeneracy on non-Hermitian Toric-code Model with Parity-time Symmetry
• Machine learning topological invariants of non-Hermitian systems
• Anderson localization transition in a robust $\mathcal{P}\mathcal{T}$-symmetric phase of a generalized Aubry-Andre model
• Partial topological Zak phase and dynamical confinement in non-Hermitian bipartite system
• Dynamical topological invariant for non-Hermitian Rice-Mele model
• Braid Group and Topological Phase Transitions in Nonequilibrium Stochastic Dynamics
• General corner states in 2D SSH model with intracelluar next-nearest-neighbour hopping
• Topological invariants, zero mode edge states and finite size effect for a generalized non-reciprocal Su-Schrieffer-Heeger model
• Spontaneous topological pumping in non-Hermitian systems
• Dynamical robustness of topological end states in nonreciprocal Su-Schrieffer-Heeger models with open boundary conditions
• Wannier-type photonic higher-order topological corner states induced solely by gain and loss
• Quantum dynamics on a lossy non-Hermitian lattice
• Non-Hermitian Avalanche Effect: Non-Perturbative Effect Induced by Local Non-Hermitian Perturbation on a Z2 Topological Order
• Floquet control of global $PT$ symmetry in 2D arrays of quadrimer waveguides
• Two-dimensional non-Hermitian topological phases induced by asymmetric hopping in a one-dimensional superlattice
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point

Cited by in corpus (36)

• Non-Hermitian Topological Phases: Principles and Prospects
• Non-Hermitian Photonic Lattices: tutorial
• Anti-$\mathcal{P}\mathcal{T}$-symmetric Kerr gyroscope
• Topology of multipartite non-Hermitian one-dimensional systems
• Symmetry-protected quantization of complex Berry phases in non-Hermitian many-body systems
• Anti-parity-time symmetry hidden in a damping linear resonator
• Complex Berry phase and imperfect non-Hermitian phase transitions
• Coupling-induced nonunitary and unitary scattering in anti-PT-symmetric non-Hermitian systems
• Topological phases of commensurate or incommensurate non-Hermitian Su-Schrieffer-Heeger lattices
• Parity-dependent unidirectional and chiral photon transfer in reversed-dissipation cavity optomechanics
• Bulk-edge correspondence and trapping at a non-Hermitian topological interface
• Anomalous dynamical response of non-Hermitian topological phases
• Non-Hermitian topological phase transitions in superlattices and the optical Dirac equation
• Su-Schrieffer-Heeger quasicrystal: Topology, localization, and mobility edge
• Topological Phases of Tight-Binding Trimer Lattice in the BDI Symmetry Class
• Light transfer transitions beyond higher-order exceptional points in parity-time and anti-parity-time symmetric waveguide arrays
• Non-Floquet engineering in periodically driven non-Hermitian systems
• Probing the superfluid-insulator phase transition by a non-Hermitian external field
• Tunable Aharonov-Bohm cages through anti-$\mathcal{P}\mathcal{T}$-symmetric imaginary couplings
• Disorder-Induced Topological Transitions in a Multilayer Topological Insulator
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Non-Bloch Dirac Points and Phase Diagram in the Stacked Non-Hermitian SSH Model
• The One-dimensional Chiral Anomaly and its Disorder Response
• Signature of edge states in resonant wave scattering
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Two-dimensional topological effect in a transmon qubit array with tunable couplings
• EP restoration and fast-light edge states in photonic crystal waveguide with glide and time reversal symmetry
• An unusual phase transition in a non-Hermitian Su-Schrieffer-Heeger model
• Characterizing dynamical behaviors in topological open systems with boundary dissipations
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
• Edge states and persistent current in a PT-symmetric extended Su-Schrieffer-Heeger model with generic boundary conditions
• Quantum transport in nonlinear Rudner-Levitov models
• Disorder driven topological phase transitions in 1D mechanical quasicrystals
• Anomalous Non-Hermitian Topological Anderson Insulator
• Physical relevance of time-independent scattering calculations in non-Hermitian systems: The role of time-growing bound states
• Supercharging exceptional points: Full-spectrum pairwise coalescence in non-Hermitian systems