Coexistence of non-Hermitian skin effect and extended states in one-dimensional nonreciprocal lattices
arXiv:2403.19430 · doi:10.1103/PhysRevB.110.024205
Abstract
We study the one-dimensional non-Hermitian lattices with staggered onsite modulations and nonreciprocal hopping up to the next-nearest-neighboring (NNN) sites. Due to the NNN nonreciprocity, the non-Hermitian skin effect (NHSE) in the system under open boundary conditions (OBC) can be energy dependent, and there will be NHSE edges in the eigenenergy spectrum, which separates the eigenstates localized at the opposite ends of the lattice. We find that the interplay between the nonreciprocal hopping and onsite modulations can reverse the direction of the skin effect and modify the position of the NHSE edge. Moreover, by tuning the system parameters, some of the eigenstates under OBC will become fully extended with the corresponding eigenenergies being imaginary under both open and periodic boundary conditions. Thus, the extended states can coexist with the NHSH in the same system. The NHSE can even be completely dissolved with all the eigenstates being extended when the modulation is imaginary. Our work unveils the intricate interplay between onsite modulations and nonreciprocal hopping in non-Hermitian systems.
8 pages, 6 figures
References in corpus (31)
- Making Sense of Non-Hermitian Hamiltonians
- Exceptional Topology of Non-Hermitian Systems
- Non-Hermitian Physics
- Topological Origin of Non-Hermitian Skin Effects
- Correspondence between winding numbers and skin modes in non-hermitian systems
- Visualization of Branch Points in PT-Symmetric Waveguides
- Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
- Observation of parity-time symmetry breaking in a single spin system
- Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
- Non-Hermitian Topological Sensors
- Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
- Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
- Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
- Liouvillian Skin Effect: Slowing Down of Relaxation Processes without Gap Closing
- Mixed-state evolution in the presence of gain and loss
- Skin effect and winding number in disordered non-Hermitian systems
- Localization transition, spectrum structure and winding numbers for one-dimensional non-Hermitian quasicrystals
- Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems
- Winding Numbers and Generalized Mobility Edges in Non-Hermitian Systems
- Exact mobility edges, -symmetry breaking and skin effect in one-dimensional non-Hermitian quasicrystals
- Mirror skin effect and its electric circuit simulation
- Non-reciprocal transport of Exciton-Polaritons in a non-Hermitian chain
- Hermitian zero modes protected by nonnormality: Application of pseudospectra
- Bulk-Bulk Correspondence in Disordered Non-Hermitian Systems
- From the topological spin-Hall effect to the non-Hermitian skin effect in an elliptical micropillar chain
- Circuit realisation of a two-orbital non-Hermitian tight-binding chain
- Real spectra in non-Hermitian topological insulators
- Non-Hermitian skin effect edge
- Real spectra, Anderson localization, and topological phases in one-dimensional quasireciprocal systems
- Evolution of spectral topology in one-dimensional long-range nonreciprocal lattices
- Dissolution of the non-Hermitian skin effect in one-dimensional lattices with linearly varying nonreciprocal hopping