Topological states in non-Hermitian two-dimensional Su-Schrieffer-Heeger model

Abstract

A non-Hermitian topological insulator with real spectrum is interesting in the theory of non-Hermitian extension of topological systems. We find an experimentally realizable example of a two dimensional non-Hermitian topological insulator with real spectrum. We consider two-dimensional Su-Schrieffer-Heeger (SSH) model with gain and loss. We introduce non-Hermitian polarization vector to explore topological phase and show that topological edge states in the band gap exist in the system.

References in corpus (42)

• Edge states and topological invariants of non-Hermitian systems
• Quantized Electric Multipole Insulators
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Band Theory for Non-Hermitian Hamiltonians
• Non-Bloch Band Theory of Non-Hermitian Systems
• Non-Hermitian Chern bands
• 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 phases in the non-Hermitian Su-Schrieffer-Heeger model
• Novel Topological Phase with Zero Berry Curvature
• Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
• Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems
• New topological invariants in non-Hermitian systems
• Photonic Topological Insulating Phase Induced Solely by Gain and Loss
• Topological states of non-Hermitian systems
• Exceptional rings in two-dimensional correlated systems with chiral symmetry
• Symmetry-protected nodal phases in non-Hermitian systems
• Topological photonic crystal nanocavity laser
• Anomalous helical edge states in a non-Hermitian Chern insulator
• Non-Hermitian Hopf-Link Exceptional Line Semimetals
• Parity-time-symmetric topological superconductor
• Coalescence of spectral singularities and phase diagrams for one-dimensional PT symmetric photonic crystals
• Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence
• Topological phases and edge states in a non-Hermitian trimerized optical lattice
• Topological phase in a non-Hermitian PT symmetric system
• Relation between $\mathcal{P}\mathcal{T}$-symmetry breaking and topologically nontrivial phases in the SSH and Kitaev models
• Topological quantum wires with balanced gain and loss
• Edge states at the interface of non-Hermitian systems
• Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals
• Su-Schrieffer-Heeger chain with one pair of PT-symmetric defects
• Majorana Edge Modes with Gain and Loss
• Topological phases in Kitaev chain with imbalanced pairing
• Effects of Non-Hermiticity on Su-Schrieffer-Heeger Defect States
• Topological phonon polaritons in one-dimensional non-Hermitian nanoparticle chains
• Topological multiband photonic superlattices
• Stable topological edge states in a non-Hermitian four-band model
• Dynamical topological invariant for non-Hermitian Rice-Mele model
• Partial topological Zak phase and dynamical confinement in non-Hermitian bipartite system
• Spontaneous topological pumping in non-Hermitian systems
• Spontaneously Broken Particle-Hole Symmetry in Photonic Graphene with Gain and Loss
• Anomalous Light Scattering by Topological $\mathcal{P}\mathcal{T}$-symmetric Particle Arrays
• Pseudo topological insulators

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• Higher-order topology in monolayer graphene
• Properties of the non-Hermitian SSH model: role of PT-symmetry
• Non-Hermitian anomalous skin effect
• Topology protects chiral edge currents in stochastic systems
• Topology of multipartite non-Hermitian one-dimensional systems
• Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models
• Simulation of higher-order topological phases in 2D spin-phononic crystal networks
• Robust localized zero-energy modes from locally embedded PT-symmetric defects
• Topological Protection in non-Hermitian Haldane Honeycomb Lattices
• Non-Hermitian Second-Order Topological Phases and Bipolar Skin Effect in Photonic Kagome Crystals
• Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences
• Exact Solutions Disentangle Higher-Order Topology in 2D Non-Hermitian Lattices
• Anomalous features of non-Hermitian topological states
• Two-dimensional anisotropic non-Hermitian Lieb lattice
• Topology of multiple cross-linked Su-Schrieffer-Heeger chains
• Image classification using collective optical modes of an array of nanolasers
• Eigenstate clustering around exceptional points
• Edge states in a non-Hermitian topological crystalline insulator
• Effects of correlations on phase diagrams of the two-dimensional Su-Schrieffer-Heeger model with the longer-range hoppings
• Realization of topological superlattices and the associated interface states in one-dimensional plasmonic crystals
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Quasi-stationary solutions in non-Hermitian systems
• Inner non-Hermitian skin effect on Bethe lattice
• Non-Bloch Dirac Points and Phase Diagram in the Stacked Non-Hermitian SSH Model
• Modification of the Optical Properties of Molecular Chains upon Coupling to Adatoms
• Topological phases in discrete stochastic systems
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
• Non-Hermitian second-order topological insulator with point gap