A brief review of hybrid skin-topological effect

Abstract

The finding of non-Hermitian skin effect has revolutionized our understanding of non-Hermitian topological phases, where the usual bulk-boundary correspondence is broken and new topological phases specific to non-Hermitian system are uncovered. Hybrid skin-topological effect (HSTE) is a class of newly discovered non-Hermitian topological states that simultaneously supports skin-localized topological edge states and extended bulk states. Here we provide a brief review of HSTE, starting from different mechanics that have been used to realize HSTE, including non-reciprocal couplings, onsite gain/loss, and non-Euclidean lattice geometries. We also review some theoretical developments closely related to the HSTE, including the concept of higher-order non-Hermitian skin effect, parity-time symmetry engineering, and non-Hermitian chiral skin effect. Finally, we summarize recent experimental exploration of HSTE, including its realization in electric circuits systems, non-Hermitian photonic crystals, and active matter systems. We hope this review can make the concept of hybrid-skin effect clearer and inspire new finding of non-Hermitian topological states in higher dimensional systems.

A review article with 13 pages and 9 figures. Comments are welcome

References in corpus (49)

• Making Sense of Non-Hermitian Hamiltonians
• Topological Origin of Non-Hermitian Skin Effects
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Non-Hermitian Topology and Exceptional-Point Geometries
• Universal non-Hermitian skin effect in two and higher dimensions
• Non-Hermitian topological phenomena: A review
• Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits
• Higher-order non-Hermitian skin effect
• Dynamically encircling exceptional points: Exact evolution and polarization state conversion
• Topological Non-Hermitian skin effect
• Second-order topological non-Hermitian skin effects
• Simulating hyperbolic space on a circuit board
• Non-Hermitian second-order skin and topological modes
• Observation of exceptional points and skin effect correspondence in non-Hermitian phononic crystals
• Observation of novel topological states in hyperbolic lattices
• Hybrid skin-topological modes without asymmetric couplings
• Guided accumulation of active particles by topological design of a second-order skin effect
• Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems
• Inner Skin Effects on Non-Hermitian Topological Fractals
• Hyperbolic Matter in Electrical Circuits with Tunable Complex Phases
• Non-Hermitian skin clusters from strong interactions
• Hyperbolic band topology with non-trivial second Chern numbers
• Experimental Realization of Geometry-Dependent Skin Effect in a Reciprocal Two-Dimensional Lattice
• Experimental identification of the second-order non-Hermitian skin effect with physics-graph-informed machine learning
• Anomalous Floquet non-Hermitian skin effect in a ring resonator lattice
• Dislocation Non-Hermitian Skin Effect
• Delocalization of topological edge states
• Quantized classical response from spectral winding topology
• Non-Hermitian Topological Phases: Principles and Prospects
• Non-Hermitian skin effect of dislocations and its topological origin
• Dual topological characterization of non-Hermitian Floquet phases
• Interaction-induced non-Hermitian topological phases from a dynamical gauge field
• Non-Hermitian Floquet Topological Matter -- A Review
• Non-Hermitian Chiral Skin Effect
• Universal competitive spectral scaling from the critical non-Hermitian skin effect
• Observation of dynamical degeneracy splitting for the non-Hermitian skin effect
• Hermitian Bulk -- Non-Hermitian Boundary Correspondence
• A non-Hermitian optical atomic mirror
• Unusual wave-packet spreading and entanglement dynamics in non-Hermitian disordered many-body systems
• Symmetry and topological classification of Floquet non-Hermitian systems
• Non-Hermitian dislocation modes: Stability and melting across exceptional points
• Geometry-dependent skin effects in reciprocal photonic crystals
• Loss-induced Floquet non-Hermitian skin effect
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Hybrid higher-order skin-topological effect in hyperbolic lattices
• Universal platform of point-gap topological phases from topological materials
• Non-Hermitian boundary spectral winding
• Direction reversal of non-Hermitian skin effect via coherent coupling
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice

Cited by in corpus (8)

• A review of active matter reviews
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Interaction-Induced Second-Order Skin Effect
• Non-Hermitian Skin Effect Along Hyperbolic Geodesics
• Intrinsic-perturbation induced anomalous higher-order boundary states in non-Hermitian systems
• Anisotropic-scaling localization in higher-dimensional non-Hermitian systems
• Non-Hermitian higher-order topological insulators enabled by altermagnet engineering
• Wiener-Hopf factorization and non-Hermitian topology for Amoeba formulation in one-dimensional multiband systems