Non-Hermitian anomalous skin effect

Abstract

A non-Hermitian topological insulator is fundamentally different from conventional topological insulators. The non-Hermitian skin effect arises in a nonreciprocal tight binding lattice with open edges. In this case, not only topological states but also bulk states are localized around the edges of the nonreciprocal system. We discuss that controllable switching from topological edge states into topological extended states in a chiral symmetric non-Hermitian system is possible. We show that the skin depth decreases with non-reciprocity for bulk states but increases with it for topological zero energy states.

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Cited by in corpus (22)

• Critical non-Hermitian Skin Effect
• Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
• Nonlinear non-Hermitian skin effect
• Circuit realisation of a two-orbital non-Hermitian tight-binding chain
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• Topological invariants, zero mode edge states and finite size effect for a generalized non-reciprocal Su-Schrieffer-Heeger model
• Topology of multipartite non-Hermitian one-dimensional systems
• Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences
• Topological characterization of non-Hermitian multiband systems using Majorana's Stellar Representation
• Modified Generalized-Brillouin-Zone Theory with On-site Disorders
• Non-Hermitian edge burst without skin localizations
• Filling up complex spectral regions through non-Hermitian disordered chains
• Anomalous features of non-Hermitian topological states
• Anomalous dynamical response of non-Hermitian topological phases
• Eigenstate clustering around exceptional points
• Parsing skin effect in a non-Hermitian spinless BHZ-like model
• Quasi-stationary solutions in non-Hermitian systems
• Anomalous spectrum in a non-Hermitian quasiperiodic chain
• Emergent Non-Hermitian Edge Polarisation in an Hermitian Tight-binding Model
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
• Topology and $\mathcal{P}\mathcal{T}$ Symmetry in a Non-Hermitian Su-Schrieffer-Heeger Chain with Periodic Hopping Modulation
• Coexistence of extended and localized states in one-dimensional non-Hermitian Anderson model