Localization and topological transitions in generalized non-Hermitian SSH models
arXiv:2212.12288 · doi:10.1016/j.physleta.2023.129043
Abstract
We study the localization and topological transitions of the generalized non-Hermitian SSH models, where the non-Hermiticities are introduced by the complex quasiperiodic hopping and the nonreciprocal hopping. We elucidate the universality of the models and how many models can be mapped to them. Under the open boundary condition, two delocalization transitions are found due to the competition between the Anderson localization and the boundary localization from the nontrivial edge states and the non-Hermitian skin effect. Under the periodic boundary condition, only one delocalization transition is found due to the disappearance of the non-Hermitian skin effect. The winding numbers of energy and the Lyapunov exponents in analytical form are obtained to exactly characterize the two deloaclizateon transitions. It finds that the delocalization transitions don't accompany the topological transition. Furthermore, the large on-site non-Hermiticity and the large nonreciprocal hopping are all detrimental to the topological transitions. However, the large nonreciprocal hopping enhances the Anderson localizations. The above analyses are verified by calculating the energy gap and the inverse of the participation ratio numerically.
arXiv comment9 pages, 3 figures
References in corpus (49)
- Topological Insulators
- Topological insulators and superconductors
- Berry Phase Effects on Electronic Properties
- Unpaired Majorana fermions in quantum wires
- Edge states and topological invariants of non-Hermitian systems
- Exceptional Topology of Non-Hermitian Systems
- Topological phases of non-Hermitian systems
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Topological States and Adiabatic Pumping in Quasicrystals
- Non-Bloch Band Theory of Non-Hermitian Systems
- Correspondence between winding numbers and skin modes in non-hermitian systems
- Non-Hermitian Chern bands
- Non-Hermitian Boundary Modes
- 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
- Non-Hermitian skin effect and chiral damping in open quantum systems
- Topological Anderson Insulator
- Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
- Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
- Non-Hermitian Topological Invariants in Real Space
- Theory of the topological Anderson insulator
- Topological phase transition in non-Hermitian quasicrystals
- Nearest neighbor tight binding models with an exact mobility edge in one dimension
- Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
- Single particle Green's functions and interacting topological insulators
- Predicted mobility edges in one-dimensional incommensurate optical lattices: An exactly solvable model of Anderson localization
- Interplay of non-Hermitian skin effects and Anderson localization in non-reciprocal quasiperiodic lattices
- Edge states and topological phases in one-dimensional optical superlattices
- Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
- Numerical study of the topological Anderson insulator in HgTe/CdTe quantum wells
- Mobility Edges in 1D Bichromatic Incommensurate Potentials
- One-dimensional quasicrystals with power-law hopping
- Majorana Fermions in superconducting wires: effects of long-range hopping, broken time-reversal symmetry and potential landscapes
- Critical Behavior and Fractality in Shallow One-Dimensional Quasiperiodic Potentials
- Non-Bloch topological invariants in a non-Hermitian domain-wall system
- Topological superconductor to Anderson localization transition in one-dimensional incommensurate lattices
- Localization transition, spectrum structure and winding numbers for one-dimensional non-Hermitian quasicrystals
- Winding Numbers and Generalized Mobility Edges in Non-Hermitian Systems
- Non-Hermitian Topological Anderson Insulators
- Mobility edge and intermediate phase in one-dimensional incommensurate lattice potentials
- Unraveling non-Hermitian pumping: emergent spectral singularities and anomalous responses
- Localization and topological transitions in non-Hermitian quasiperiodic lattices
- Anomalous mobility edges in one-dimensional quasiperiodic models
- Quantum nonergodicity and fermion localization in a system with a single-particle mobility edge
- Lieb-Liniger Bosons in a Shallow Quasiperiodic Potential: Bose Glass Phase and Fractal Mott Lobes
- Boundary-dependent Self-dualities, Winding Numbers and Asymmetrical Localization in non-Hermitian Quasicrystals
- Anderson localization and topological phase transitions in non-Hermitian Aubry-André-Harper models with p-wave pairing
- Untying links through anti-parity-time-symmetric coupling
- The topological counterparts of non-Hermitian SSH models