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Title: Wallpaper fermions and the nonsymmorphic Dirac insulator

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 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) .

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [2]; ORCiD logo [4]; ORCiD logo [5]; ORCiD logo [6]; ORCiD logo [7]; ORCiD logo [8]
  1. 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.
  2. Princeton Center for Theoretical Science, Princeton University, Princeton, NJ 08544, USA.
  3. Department of Physics, Princeton University, Princeton, NJ 08544, USA.
  4. Department of Chemistry, University of Pennsylvania, Philadelphia, PA 19104-6323, USA., Department of Physics, Sungkyunkwan University (SKKU), Suwon 16419, Korea.
  5. Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104-6323, USA., Department of Chemistry, University of Pennsylvania, Philadelphia, PA 19104-6323, USA.
  6. Department of Chemistry, University of Pennsylvania, Philadelphia, PA 19104-6323, USA.
  7. Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104-6323, USA.
  8. 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.
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1460922
Grant/Contract Number:  
NERSC; SC0016239
Resource Type:
Published Article
Journal Name:
Science
Additional Journal Information:
Journal Name: Science Journal Volume: 361 Journal Issue: 6399; Journal ID: ISSN 0036-8075
Publisher:
American Association for the Advancement of Science (AAAS)
Country of Publication:
United States
Language:
English

Citation Formats

Wieder, Benjamin J., Bradlyn, Barry, Wang, Zhijun, Cano, Jennifer, Kim, Youngkuk, Kim, Hyeong-Seok D., Rappe, Andrew M., Kane, C. L., and Bernevig, B. Andrei. Wallpaper fermions and the nonsymmorphic Dirac insulator. United States: N. p., 2018. Web. doi:10.1126/science.aan2802.
Wieder, Benjamin J., Bradlyn, Barry, Wang, Zhijun, Cano, Jennifer, Kim, Youngkuk, Kim, Hyeong-Seok D., Rappe, Andrew M., Kane, C. L., & Bernevig, B. Andrei. Wallpaper fermions and the nonsymmorphic Dirac insulator. United States. doi:10.1126/science.aan2802.
Wieder, Benjamin J., Bradlyn, Barry, Wang, Zhijun, Cano, Jennifer, Kim, Youngkuk, Kim, Hyeong-Seok D., Rappe, Andrew M., Kane, C. L., and Bernevig, B. Andrei. Thu . "Wallpaper fermions and the nonsymmorphic Dirac insulator". United States. doi:10.1126/science.aan2802.
@article{osti_1460922,
title = {Wallpaper fermions and the nonsymmorphic Dirac insulator},
author = {Wieder, Benjamin J. and Bradlyn, Barry and Wang, Zhijun and Cano, Jennifer and Kim, Youngkuk and Kim, Hyeong-Seok D. and Rappe, Andrew M. and Kane, C. L. and Bernevig, B. Andrei},
abstractNote = {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) .},
doi = {10.1126/science.aan2802},
journal = {Science},
number = 6399,
volume = 361,
place = {United States},
year = {2018},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
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DOI: 10.1126/science.aan2802

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Cited by: 20 works
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