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:
-
[1];
[2];
[3];
[2];
[4];
[5];
[6];
[7];
[8]
- 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.
- 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. https://doi.org/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. https://doi.org/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}
}
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