文章基本信息

标题：Photonic analogues of the Haldane and Kane-Mele models
本地全文：下载
作者：Sylvain Lannebère ; Mário G. Silveirinha
期刊名称：Nanophotonics
印刷版ISSN：2192-8606
电子版ISSN：2192-8614
出版年度：2019
卷号：8
期号：8
页码：1387-1397
DOI：10.1515/nanoph-2019-0037
出版社：Walter de Gruyter GmbH
摘要：The condensed matter Haldane and Kane-Mele models revolutionized the understanding of what is an “insulator,” as they unveiled novel classes of media that behave as metals near the surface, but are insulating in the bulk. Here, we propose exact electromagnetic analogues of these two influential models relying on a photonic crystal implementation of “artificial graphene” subject to an effective magnetic field. For the Haldane model, the required effective magnetic field for photons can be emulated with a spatially variable pseudo-Tellegen response. For the Kane-Mele model, the spin-orbit coupling can be mimicked using matched anisotropic dielectrics with identical permittivity and permeability, without requiring any form of bianisotropic couplings. Using full-wave numerical simulations and duality theory we verify that the nontrivial topology of the two proposed platforms results in the emergence of topologically protected gapless edge states at the interface with a trivial photonic insulator. Our theory paves the way for the emulation of the two condensed matter models in a photonic platform and determines another paradigm to observe topologically protected edge states in a fully reciprocal all-dielectric and non-uniform anisotropic metamaterial.
关键词：topological photonics ; photonic graphene ; symmetry protected waveguiding ; pseudo magnetic field