Skip to main content

Wallpaper fermions and the nonsymmorphic Dirac insulator

Author(s): Wieder, Benjamin J.; Bradlyn, Barry; Wang, Zhijun; Cano, Jennifer; Kim, Youngkuk; et al

To refer to this page use:
Abstract: Materials whose gapless surface states are protected by crystal symmetries include mirror topological crystalline insulators and nonsymmorphic hourglass insulators. There exists only a very limited set of possible surface crystal symmetries, captured by the 17 “wallpaper groups.” Here we show that a consideration of symmetry-allowed band degeneracies in the wallpaper groups can be used to understand previously described topological crystalline insulators and to predict phenomenologically distinct examples. In particular, the two wallpaper groups with multiple glide lines, pgg and p4g, allow for a topological insulating phase whose surface spectrum consists of only a single, fourfolddegenerate, true Dirac fermion, representing an exception to a symmetry-enhanced fermion-doubling theorem. We theoretically predict the presence of this phase in Sr2Pb3 in space group 127 (P4/mbm).
Publication Date: 20-Jul-2018
Citation: Wieder, Benjamin J, Bradlyn, Barry, Wang, Zhijun, Cano, Jennifer, Kim, Youngkuk, Kim, Hyeong-Seok D, Rappe, Andrew M, Kane, CL, Bernevig, B Andrei. (2018). Wallpaper fermions and the nonsymmorphic Dirac insulator. SCIENCE, 361, 246-251, doi:10.1126/science.aan2802
DOI: doi:10.1126/science.aan2802
ISSN: 0036-8075
EISSN: 1095-9203
Pages: 246-251
Type of Material: Journal Article
Journal/Proceeding Title: SCIENCE
Version: Author's manuscript

Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.