Second-order topological insulators and superconductors with an order-two crystalline symmetry

作者:Geier, Max*; Trifunovic, Luka; Hoskam, Max; Brouwer, Piet W.
来源:Physical Review B, 2018, 97(20): 205135.
DOI:10.1103/PhysRevB.97.205135

摘要

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.

  • 出版日期2018-5-25