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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,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 Sr 2Pb 3in space group 127 (P4/mbm).

Authors:
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Publication Date:
Research Org.:
Princeton Univ., NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1541685
DOE Contract Number:  
SC0016239
Resource Type:
Journal Article
Journal Name:
Science
Additional Journal Information:
Journal Volume: 361; Journal Issue: 6399; Journal ID: ISSN 0036-8075
Publisher:
AAAS
Country of Publication:
United States
Language:
English
Subject:
Science & Technology - Other Topics

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_1541685,
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,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).},
doi = {10.1126/science.aan2802},
journal = {Science},
issn = {0036-8075},
number = 6399,
volume = 361,
place = {United States},
year = {2018},
month = {7}
}