Non-trivial point-gap topology and non-Hermitian skin effect in photonic crystals

Abstract

We show that two-dimensional non-Hermitian photonic crystals made of lossy material can exhibit non-trivial point gap topology in terms of topological winding in its complex frequency band structure. Such crystals can be either made of lossy isotropic media which is reciprocal, or lossy magneto-optical media which is non-reciprocal. We discuss the effects of reciprocity on the properties of the point gap topology. We also show that such a non-trivial point gap topology leads to non-Hermitian skin effect when the photonic crystal is truncated. In contrast to most previous studies on point gap topology which used tight-binding models, our work indicates that such non-Hermitian topology can studied in photonic crystals, which represent a more realistic system that has technological significance.

arXiv commentcomments welcome :)

References in corpus (32)

• Topological Insulators
• Topological Photonics
• Topological Photonics
• Edge states and topological invariants of non-Hermitian systems
• Periodic table for topological insulators and superconductors
• Exceptional Topology of Non-Hermitian Systems
• Colloquium: Topological Band Theory
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Topological Origin of Non-Hermitian Skin Effects
• Topological Band Theory for Non-Hermitian Hamiltonians
• Non-Bloch Band Theory of Non-Hermitian Systems
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Observation of bulk boundary correspondence breakdown in topolectrical circuits
• Non-Hermitian Boundary Modes
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
• Non-Hermitian Topological Invariants in Real Space
• Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
• Acoustic non-Hermitian skin effect from twisted winding topology
• Observation of arbitrary topological windings of a non-Hermitian band
• Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
• Topological states of non-Hermitian systems
• Functional metamirrors
• Topological Classification of Non-Hermitian Hamiltonians
• Giant tunable nonreciprocity of light in Weyl semimetals
• Coalescence of spectral singularities and phase diagrams for one-dimensional PT symmetric photonic crystals
• Perspective on topological states of non-Hermitian lattices
• Complex k band diagrams of 3D metamaterial/photonic crystals
• Long-range interaction and nonlinear localized modes in photonic crystal waveguides
• Interaction induced bi-skin effect in an exciton-polariton system

Cited by in corpus (28)

• Topological photonic crystals: physics, designs and applications
• Topological Non-Hermitian skin effect
• Non-Hermitian Topological Phases: Principles and Prospects
• Non-Hermitian Photonic Lattices: tutorial
• Topological Phases of Photonic Crystals under Crystalline Symmetries
• Eigenvalue topology of non-Hermitian band structures in two and three dimensions
• Non-Hermitian waves in a continuous periodic model and application to photonic crystals
• Photonic corner skin modes
• Multi-dimensional band structure spectroscopy in the synthetic frequency dimension
• Geometry-dependent skin effects in reciprocal photonic crystals
• Hybrid skin-topological effect induced by eight-site cells and arbitrary adjustment of the localization of topological edge states
• Non-Hermitian skin effect induced by Rashba-Dresselhaus spin-orbit coupling
• Non-Bloch band theory for non-Hermitian continuum systems
• Critical non-Hermitian topology induced quantum sensing
• Non-Hermitian edge burst without skin localizations
• Filling up complex spectral regions through non-Hermitian disordered chains
• Non-Floquet engineering in periodically driven non-Hermitian systems
• Non-Hermitian skin effect and lasing of absorbing open-boundary modes in photonic crystals
• Experimental probe of band structures of bilayer valley photonic crystals
• One-dimensional non-Hermitian band structures as Riemann surfaces
• Optical non-Hermitian skin effect in two-dimensional uniform media
• Pseudo-Hermitian Topology of Multiband Non-Hermitian Systems
• Hinge non-Hermitian skin effect in the single-particle properties of a strongly correlated f-electron system
• Loss-driven gain enhancements driven by topological singularities in non-Hermitian photonic crystals defects
• Size-Dependent Skin Effect Transitions in Weakly Coupled Non-Reciprocal Chains
• Topological photonics in nanoscaled systems with far field radiation and polarization singularities
• Observation of non-Hermitian point gap in photonic crystals
• Non-orientable Exceptional Points in Twisted Boundary Systems