Wallpaper fermions and the nonsymmorphic Dirac insulator

Wieder, Benjamin J.; Bradlyn, Barry; Wang, Zhijun; Cano, Jennifer; Kim, Youngkuk; Kim, Hyeong-Seok D.; Rappe, Andrew M.; Kane, C. L.; Bernevig, B. Andrei

doi:10.1126/science.aan2802

Title: Wallpaper fermions and the nonsymmorphic Dirac insulator

Journal Article · Thu Jul 19 00:00:00 EDT 2018 · Science

DOI:https://doi.org/10.1126/science.aan2802· OSTI ID:1541685

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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,pggandp4g, allow for a topological insulating phase whose surface spectrum consists of only a single, fourfold-degenerate, true Dirac fermion, representing an exception to a symmetry-enhanced fermion-doubling theorem. We theoretically predict the presence of this phase in Sr₂Pb₃in space group 127 (P4/mbm).

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Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0016239

OSTI ID:: 1541685

Journal Information:: Science, Vol. 361, Issue 6399; ISSN 0036-8075

Publisher:: AAAS

Country of Publication:: United States

Language:: English

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