A symmetry-protected exceptional ring in a photonic crystal with negative index media
arXiv:2212.11090 · doi:10.1515/nanoph-2022-0747
Abstract
Non-Hermitian topological band structures such as symmetry-protected exceptional rings (SPERs) can emerge for systems described by the generalized eigenvalue problem (GEVP) with Hermitian matrices. In this paper, we numerically analyze a photonic crystal with negative index media, which is described by the GEVP with Hermitian matrices. Our analysis using COMSOL Multiphysics demonstrates that a SPER emerges for photonic crystals composed of split-ring resonators and metal-wire structures. We expect that the above SPER can be observed in experiments as it emerges at a finite frequency.
arXiv comment11 pages, 7 figures
References in corpus (78)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- Topological Insulators in Three Dimensions
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Topological Insulators with Inversion Symmetry
- Topological Photonics
- Topological Photonics
- Classification of topological insulators and superconductors in three spatial dimensions
- Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Weyl Semimetal in a Topological Insulator Multilayer
- Edge states and topological invariants of non-Hermitian systems
- Periodic table for topological insulators and superconductors
- Exceptional Topology of Non-Hermitian Systems
- Topological Insulator Materials
- Scheme to Achieve Silicon Topological Photonics
- Localization transitions in non-Hermitian quantum mechanics
- Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
- Topological phases of non-Hermitian systems
- Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
- Symmetry and Topology in Non-Hermitian Physics
- Topological Acoustics
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Analogs of quantum Hall effect edge states in photonic crystals
- Topological Origin of Non-Hermitian Skin Effects
- Topological Band Theory for Non-Hermitian Hamiltonians
- Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
- Anomalous edge state in a non-Hermitian lattice
- Non-Bloch Band Theory of Non-Hermitian Systems
- Correspondence between winding numbers and skin modes in non-hermitian systems
- Magnetoelectric polarizability and axion electrodynamics in crystalline insulators
- Non-Hermitian Chern bands
- Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
- Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
- Non-Hermitian Boundary Modes
- Spawning rings of exceptional points out of Dirac cones
- Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
- Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
- Topolectrical circuits
- Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
- Edge states and topological phases in non-Hermitian systems
- Non-Hermitian Delocalization and Eigenfunctions
- Classification of topological phonons in linear mechanical metamaterials
- Photonic Topological Insulating Phase Induced Solely by Gain and Loss
- Active topological photonics
- Non-Hermitian perspective of the band structure in heavy-fermion systems
- Exceptional rings in two-dimensional correlated systems with chiral symmetry
- Topological invariance and global Berry phase in non-Hermitian systems
- Symmetry-protected nodal phases in non-Hermitian systems
- Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
- Observation of non-Bloch parity-time symmetry and exceptional points
- Symmetry and Higher-Order Exceptional Points
- Flat Band in Disorder Driven Non-Hermitian Weyl Semimetals
- Exceptional Surfaces in PT-Symmetric Photonic Systems
- Symmetry-protected multifold exceptional points and their topological characterization
- Manipulation of Dirac Cones in Mechanical Graphene
- Non-Hermitian Topological Theory of Finite-Lifetime Quasiparticles: Prediction of Bulk Fermi Arc Due to Exceptional Point
- Mirror skin effect and its electric circuit simulation
- Exceptional rings protected by emergent symmetry for mechanical systems
- Magnetic susceptibility in three-dimensional nodal semimetals
- Non-Hermitian fractional quantum Hall states
- Time-Reversal Symmetry in Non-Hermitian Systems
- Chiral-symmetry protected exceptional torus in correlated nodal-line semi-metals
- Exceptional band touching for strongly correlated systems in equilibrium
- Topological aspects of periodically driven non-Hermitian Su-Schrieffer-Heeger model
- Relation between exceptional points and the Kondo effect in -electron materials
- Bulk-edge correspondence of classical diffusion phenomena
- Topological phase transition in coupled rock-paper-scissor cycles
- Weyl semimetal phase in solid-solution narrow-gap semiconductors
- Chiral edge modes in evolutionary game theory: a kagome network of rock-paper-scissors
- Circularly polarized topological edge states derived from optical Weyl points in semiconductor-based chiral woodpile photonic crystals
- Weyl points of mechanical diamond
- Edge states of a diffusion equation in one dimension: Rapid heat conduction to the heat bath
- Topological band theory of a generalized eigenvalue problem with Hermitian matrices: Symmetry-protected exceptional rings with emergent symmetry
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