Physical Violations of the Bulk-Edge Correspondence in Topological Electromagnetics

Abstract

In this Letter, we discuss two general classes of apparent violations of the bulk-edge correspondence principle for uniform topological photonic materials, associated with the asymptotic behavior of the surface modes for diverging wavenumbers. Considering a nonreciprocal plasma as a model system, we show that the inclusion of spatial dispersion (e.g., hydrodynamic nonlocality) formally restores the bulk-edge correspondence by avoiding an unphysical response at large wavenumbers. Most importantly, however, our findings show that, for the considered cases, the correspondence principle is physically violated for all practical purposes, as a result of the unavoidable attenuation of highly confined modes even if all materials are assumed perfect, with zero intrinsic bulk losses, due to confinement-induced Landau damping or nonlocality-induced radiation leakage. Our work helps clarifying the subtle and rich topological wave physics of continuous media.

References in corpus (23)

• Topological Insulators
• Topological Photonics
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Analogs of quantum Hall effect edge states in photonic crystals
• Nonlocal optical response in metallic nanostructures
• Experimental Observation of Large Chern numbers in Photonic Crystals
• Topological Photonic Phase in Chiral Hyperbolic Metamaterials
• Infrared Topological Plasmons in Graphene
• Hot carriers generated by plasmons: where are they are generated and where do they go from there?
• Topological magnetoplasmon
• Topological non-Hermitian origin of surface Maxwell waves
• Bulk-edge correspondence for topological photonic continua
• Berry phase, Berry Connection, and Chern Number for a Continuum Bianisotropic Material from a Classical Electromagnetics Perspective
• Anomalous bulk-edge correspondence in continuous media
• Size-dependent nonlocal effects in plasmonic semiconductor particles
• Topology and the optical Dirac equation
• Proof of the bulk-edge correspondence through a link between topological photonics and fluctuation-electrodynamics
• Nonlocal formalism for nanoplasmonics: phenomenological and semi-classical considerations
• The effects of three-dimensional defects on one-way surface plasmon propagation for photonic topological insulators comprised of continuous media
• Topological origin of electromagnetic energy sinks
• Unidirectional Maxwellian Spin Waves
• Coupled Topological Surface Modes in Gyrotropic Structures: Green's Function Analysis

Cited by in corpus (19)

• Nonlocal Flat Optics
• A brief review of topological photonics in one, two, and three dimensions
• Topological phases and bulk-edge correspondence of magnetized cold plasmas
• Roadmap on Nonlocality in Photonic Materials and Metamaterials
• Topological phase in plasma physics
• Dissipation-induced topological transitions in continuous Weyl materials
• Chern Invariants of Topological Continua; a Self-Consistent Nonlocal Hydrodynamic Model
• Slow wave and truly rainbow trapping in one-way terahertz waveguide
• Edge modes in 2D electromagnetic slab waveguides: analogues of acoustic plasmons
• Realization of broadband index-near-zero modes in nonreciprocal magneto-optical heterostructures
• Complete absorption of topologically protected waves
• Topological Surface-plasmon-polaritons on Corrugated Metal-dielectric Surfaces
• Symmetry-driven Phononic Metamaterials
• Continuum damping of topologically-protected edge modes at the boundary of a magnetized plasma
• Tutorial: Topology, waves, and the refractive index
• Unidirectional Curved Surface Plasmon Polariton in a Radially Magnetized System
• The Uniqueness Theorem for Nonlocal Hydrodynamic Media
• Current-induced nonreciprocity and refraction-free propagation in a one-dimensional graphene-based photonic crystal
• Topological edge states of continuous Hamiltonians