# Bulk-edge correspondence for topological photonic continua

@article{Silveirinha2016BulkedgeCF, title={Bulk-edge correspondence for topological photonic continua}, author={M{\'a}rio G. Silveirinha}, journal={Physical Review B}, year={2016}, volume={94}, pages={205105} }

Here, building on our previous work [Phys. Rev. B 92, 125153 (2015)], it is shown that the propagation of unidirectional gapless edge states at an interface of two topologically distinct electromagnetic continua with a well-behaved asymptotic electromagnetic response is rigorously predicted by the bulk-edge correspondence principle. We work out detailed examples demonstrating that when the spatial cutoff of the nonreciprocal part of the material response is considered self-consistently in the… Expand

#### 59 Citations

Physical Violations of the Bulk-Edge Correspondence in Topological Electromagnetics.

- Physics, Medicine
- Physical review letters
- 2020

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. Expand

Proof of the bulk-edge correspondence through a link between topological photonics and fluctuation-electrodynamics

- Physics
- 2018

The bulk-edge correspondence links the Chern-topological numbers with the net number of unidirectional states supported at an interface of the relevant materials. This fundamental principle is… Expand

Anomalous bulk-edge correspondence in continuous media

- Physics, Mathematics
- 2019

Topology plays an increasing role in physics beyond the realm of topological insulators in condensed mater. From geophysical fluids to active matter, acoustics or photonics, a growing family of… Expand

Link between the photonic and electronic topological phases in artificial graphene

- Physics
- 2017

In recent years the study of topological phases of matter has emerged as a very exciting field of research, both in photonics and in electronics. However, up to now the electronic and photonic… Expand

- 1-Topological theory of non-Hermitian photonic systems

- 2019

Here, we develop a gauge-independent Green function approach to characterize the Chern invariants of generic non-Hermitian systems. It is shown that analogous to the Hermitian case, the Chern number… Expand

Topological classification of Chern-type insulators by means of the photonic Green function

- Physics
- 2018

The Chern topological numbers of a material system are traditionally written in terms of the Berry curvature which depends explicitly on the material band structure and on the Bloch eigenwaves. Here,… Expand

Robust entanglement with three-dimenstional nonreciprocal photonic topological insulators

- Physics
- 2017

We investigate spontaneous and pumped entanglement of two-level systems in the vicinity of a photonic topological insulator interface, which supports a nonreciprocal (unidirectional),… Expand

Inducing and controlling rotation on small objects using photonic topological materials

- Physics
- 2018

Photonic topological insulator plates violate Lorentz reciprocity, which leads to a directionality of surfaceguided modes. This in-plane directionality can be imprinted via an applied magnetic field.… Expand

Topological kink plasmons on magnetic-domain boundaries

- Physics, Biology
- Nature Communications
- 2019

This report reports the observation of topologically-protected high-frequency kink modes – kink magnetoplasmons (KMPs) – in a GaAs/AlGaAs two-dimensional electron gas (2DEG) system using custom-shaped strong permanent magnets on top of a Ga as/Al GaAs heterojunction. Expand

Size and host-medium effects on topologically protected surface states in bi-anisotropic 3D optical waveguides

- Physics
- 2018

We study the optical properties of bi-anisotropic optical waveguides with nontrivial topological structure in wavevector space, placed in an ordinary dielectric matrix. We derive an exact analytical… Expand

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