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:1460922

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Department of Physics, Princeton University, Princeton, NJ 08544, USA., Nordita, Center for Quantum Materials, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden., Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104-6323, USA.
Princeton Center for Theoretical Science, Princeton University, Princeton, NJ 08544, USA.
Department of Physics, Princeton University, Princeton, NJ 08544, USA.
Department of Chemistry, University of Pennsylvania, Philadelphia, PA 19104-6323, USA., Department of Physics, Sungkyunkwan University (SKKU), Suwon 16419, Korea.
Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104-6323, USA., Department of Chemistry, University of Pennsylvania, Philadelphia, PA 19104-6323, USA.
Department of Chemistry, University of Pennsylvania, Philadelphia, PA 19104-6323, USA.
Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104-6323, USA.
Department of Physics, Princeton University, Princeton, NJ 08544, USA., Dahlem Center for Complex Quantum Systems and Fachbereich Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany., Max Planck Institute of Microstructure Physics, 06120 Halle, Germany.

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 p 4 g , 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 Sr ₂ Pb ₃ in space group 127 ( P 4 /mbm) .

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Sponsoring Organization:: USDOE

Grant/Contract Number:: NERSC; SC0016239

OSTI ID:: 1460922

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

Publisher:: American Association for the Advancement of Science (AAAS)Copyright Statement

Country of Publication:: United States

Language:: English

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