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arXiv 1804.07597physics.opticscond-mat.mes-hall
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光子晶体折射率面的陈数:圆锥折射作为拓扑材料的基础

Chern numbers for the index surfaces of photonic crystals: conical refraction as a basis for topological materials

R. L. Mc Guinness, P. R. Eastham

摘要:

用拓扑不变量对能带结构进行分类,为理解诸如量子霍尔效应之类的现象提供了有力的工具。这种分类最初是在电子的背景下发展起来的,但也可以应用于光子晶体。本文研究了二维光子晶体折射率表面的拓扑分类。我们考虑由双折射材料形成的晶体,其中本构关系提供光学自旋轨道耦合。我们表明,这种耦合,结合旋光性,可以导致一组缺口的指数表面与非零陈数。这种设计光子Chern绝缘体的方法利用双折射而不是晶格结构,并且不需要源自特定晶格几何形状的带交叉。

英文摘要:

The classification of bandstructures by topological invariants provides a powerful tool for understanding phenomena such as the quantum Hall effect. This classification was originally developed in the context of electrons, but can also be applied to photonic crystals. In this paper we study the topological classification of the refractive index surfaces of two-dimensional photonic crystals. We consider crystals formed from birefringent materials, in which the constitutive relation provides an optical spin-orbit coupling. We show that this coupling, in conjunction with optical activity, can lead to a gapped set of index surfaces with non-zero Chern numbers. This method for designing photonic Chern insulators exploits birefringence rather than lattice structure, and does not require band crossings originating from specific lattice geometries.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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