Abstract
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)PRBMDO1098-012110.1103/PhysRevB.90.165114], 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.
| Original language | English |
|---|---|
| Article number | 205135 |
| Number of pages | 33 |
| Journal | Physical Review B |
| Volume | 97 |
| Issue number | 20 |
| DOIs | |
| Publication status | Published - 25 May 2018 |
Funding
We thank Andrei Bernevig, Eslam Khalaf, and Felix von Oppen for stimulating discussions. We acknowledge support by project A03 of the CRC-TR 183 and by the priority programme SPP 1666 of the German Science Foundation (DFG). A recent article by Eslam Khalaf on the classification of inversion-symmetric higher-order topological insulators and superconductors contains closely related results. We thank Eslam Khalaf for making his manuscript available to us prior to publication. APPENDIX A:
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