Non-Hermitian Chiral Skin Effect

Abstract

The interplay between non-Hermitian effects and topological insulators has become a frontier of research in non-Hermitian physics. However, the existence of a non-Hermitian skin effect for topological-protected edge states remains controversial. In this paper, we discover an alternative form of the non-Hermitian skin effect called the non-Hermitian chiral skin effect (NHCSE). NHCSE is a non-Hermitian skin effect under periodic boundary condition rather than open boundary condition. Specifically, the chiral modes of the NHCSE localize around \textquotedblleft topological defects\textquotedblright characterized by global dissipation rather than being confined to the system boundaries. We show its detailed physical properties by taking the non-Hermitian Haldane model as an example. As a result, the intrinsic mechanism of the hybrid skin-topological effect in Chern insulators is fully understood via NHCSE. Therefore, this progress will be helpful for solving the controversial topic of hybrid skin-topological effect and thus benefit the research on both non-Hermitian physics and topological quantum states.

References in corpus (17)

• The physics of exceptional points
• Topological Origin of Non-Hermitian Skin Effects
• New topological invariants in non-Hermitian systems
• Topological Non-Hermitian skin effect
• Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
• Non-Bloch topological invariants in a non-Hermitian domain-wall system
• Gain and loss induced topological insulating phase in a non Hermitian electrical circuit
• Hybrid skin-topological modes without asymmetric couplings
• Dislocation Non-Hermitian Skin Effect
• Non-Bloch bands in two-dimensional non-Hermitian systems
• Hermitian Bulk -- Non-Hermitian Boundary Correspondence
• Photonic corner skin modes
• Topological edge states and quantum Hall effect in the Haldane model
• Topology in non-Hermitian Chern insulators with skin effect
• Universal platform of point-gap topological phases from topological materials
• Non-Hermitian boundary spectral winding
• Effective impurity behavior emergent from non-Hermitian proximity effect

Cited by in corpus (19)

• A brief review of hybrid skin-topological effect
• Non-Hermitian Topology in Hermitian Topological Matter
• Non-Hermitian second-order topological superconductors
• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Boundary-driven many-body phase transitions in a non-Hermitian disordered fermionic chain
• Tentaclelike spectra and bound states in Hatano-Nelson chain with long-range impurity coupling
• The global phase diagram of the cluster-XY spin chain with dissipation
• $K$-theory classification of Wannier localizability and detachable topological boundary states
• Controllable suppression of Non-Hermitian skin effects
• Multifractal statistics of non-Hermitian skin effect on the Cayley tree
• Non-Hermitian Hopf insulators
• An Explicit Wavefunction of the Interacting Non-Hermitian Spin-1/2 1D System
• Unified Multipole Bott Indices for Non-Hermitian Skin Effect in Different Orders
• Origin of Robust ${\mathbb{Z}}_2$ Topological Phases in Stacked Hermitian Systems: Non-Hermitian Level Repulsion
• Tailoring Corner States and Exceptional Points in Altermagnets
• Tunable chiral spiral phases in a non-Hermitian Ising-Gamma spin chain
• Adiabatic charge transport through non-Bloch bands
• Quasiperiodic Skin Criticality in an Exactly Solvable Non-Hermitian Quasicrystal