Photonic analogues of the Haldane and Kane-Mele models

Sylvain Lannebère; Mário G. Silveirinha

doi:10.1117/12.2525093

30 April 2019 Photonic analogues of the Haldane and Kane-Mele models

Sylvain Lannebère, Mário G. Silveirinha

Proceedings Volume 11025, Metamaterials XII; 110250A (2019) https://doi.org/10.1117/12.2525093
Event: SPIE Optics + Optoelectronics, 2019, Prague, Czech Republic

Abstract

We propose implementations of the Haldane and Kane-Mele models in both electronic and photonic “artificial-graphene” type systems. We first suggest an electronic realization of the Haldane model in a patterned two-dimensional electron gas with broken inversion and time-reversal symmetries. Then, based on an analogy between the two-dimensional Schrodinger and Maxwell equations, we propose a photonic analogue based on a photonic crystal made of air cylinders with honeycomb symmetry embedded in a metallic background with a spatially variable pseudo-Tellegen response. The anisotropic pseudo-Tellegen coupling emulates a periodic effective magnetic field for photons. In a second step, it is demonstrated that by enforcing matched electric and magnetic responses one obtains a precise analogue of the Kane-Mele model in the same nonreciprocal photonic platform. Remarkably it is shown that by applying a duality transformation, the Kane-Mele model can be implemented using matched anisotropic dielectrics with identical permittivity and permeability, without requiring any form of bianisotropic couplings. These findings evidence the possibility to observe bidirectional topologically protected edges-state propagation in a fully reciprocal all-dielectric and non-uniform anisotropic metamaterial.

Conference Presentation

Citation Download Citation

Sylvain Lannebère and Mário G. Silveirinha "Photonic analogues of the Haldane and Kane-Mele models", Proc. SPIE 11025, Metamaterials XII, 110250A (30 April 2019); https://doi.org/10.1117/12.2525093

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