Second-order topological insulators and superconductors with an order-two crystalline symmetry
Second-order topological insulators and superconductors with an order-two crystalline symmetry
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DOI：
10.1103/physrevb.97.205135
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发表时间：
2018-05-25
影响因子：
3.7
通讯作者：
Brouwer, Piet W.
中科院分区：
文献类型：
--
作者：
Geier, Max;Trifunovic, Luka;Brouwer, Piet W.
二阶拓扑绝缘体和超导体在体积和沿边界处具有带隙激发光谱，但在二维晶体的拐角处具有受保护的零模式或在三维晶体的铰链处具有受保护的无带隙模式。二阶拓扑相可以通过体晶体对称性的存在来诱导。基于 Shiozaki 和 Sato 对具有二阶晶体对称性的体晶相的完整分类 [Phys.Rev.B 90, 165114 (2014)]，例如镜面反射、双重旋转或反演对称性，我们对所有相应的二阶拓扑绝缘体和超导体进行了分类。该分类还包括反酉对称性和反对称性。
Second-order topological insulators and superconductors have a gapped excitation spectrum in bulk and along boundaries, but protected zero modes at corners of a two-dimensional crystal or protected gapless modes at hinges of a three-dimensional crystal. A second-order topological phase can be induced by the presence of a bulk crystalline symmetry. Building on Shiozaki and Sato's complete classification of bulk crystalline phases with an order-two crystalline symmetry [Phys.Rev.B 90, 165114 (2014)], such as mirror reflection, twofold rotation, or inversion symmetry, we classify all corresponding second-order topological insulators and superconductors. The classification also includes antiunitary symmetries and antisymmetries.