Geometry-dependent skin effects in reciprocal photonic crystals

Abstract

Skin effect that all eigenmodes within a frequency range become edge states is dictated by the topological properties of complex eigenvalues unique in non-Hermitian systems. The prevailing attempts to realize such a fascinating effect are confined to either one-dimensional or nonreciprocal systems exhibiting asymmetric couplings. Here, inspired by a recent model Hamiltonian theory, we propose a realistic reciprocal two-dimensional (2D) photonic crystal (PhC) system that shows the desired skin effect. Specifically, we establish a routine for designing such non-Hermitian systems via revealing the inherent connections between the non-trivial eigenvalue topology of order-2 exceptional points (EPs) and the skin effects. Guided by the proposed strategy, we successfully design a 2D PhC that possesses the EPs with nonzero eigenvalue winding numbers. The spectral area along a specific wavevector direction is then formed by leveraging the symmetry of the macroscopic geometry and the unit cell. The projected-band-structure calculations are performed to demonstrate that the desired skin effect exists at the specific crystalline interfaces. We finally employ time-domain simulations to vividly illustrate this phenomenon by exciting a pulse at the center of a finite-sized PhC. Our results form a solid basis for further experimental confirmations and applications of the skin effect.

19 pages, 4 figures

References in corpus (9)

• The electronic properties of graphene
• Topological Photonics
• The physics of exceptional points
• Topological Origin of Non-Hermitian Skin Effects
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Non-Hermitian Topology and Exceptional-Point Geometries
• Non-trivial point-gap topology and non-Hermitian skin effect in photonic crystals
• R-DMFT study of a non-Hermitian skin effect for correlated systems: analysis based on a pseudo-spectrum
• The Quantum Skin Hall Effect

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• Floquet engineering of point-gapped topological superconductors
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• Dynamical Degeneracy Splitting and Directional Invisibility in Non-Hermitian Systems
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• A brief review of hybrid skin-topological effect
• Non-Hermitian skin effect induced by Rashba-Dresselhaus spin-orbit coupling
• Non-Bloch band theory for non-Hermitian continuum systems
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Non-Hermitian Skin Effect Along Hyperbolic Geodesics
• Non-Hermitian skin effect and lasing of absorbing open-boundary modes in photonic crystals
• Restoration of non-Hermitian bulk-boundary correspondence by counterbalancing skin effect
• Optical non-Hermitian skin effect in two-dimensional uniform media
• Controllable suppression of Non-Hermitian skin effects
• Anderson-skin dualism: A boundary-dependent effect in non-Hermitian disordered coupled systems
• Topological photonics in nanoscaled systems with far field radiation and polarization singularities
• Reversing non-Hermitian skin accumulation with a non-local transverse switch