Wallpaper fermions and the nonsymmorphic Dirac insulator

Science
Benjamin J WiederB Andrei Bernevig

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 p4g, 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 Sr2Pb3 in space group 127 (P4/mbm).

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Citations

Oct 30, 2019·Physical Chemistry Chemical Physics : PCCP·Seoung-Hun KangYoung-Kyun Kwon
Aug 8, 2018·Science Advances·Haruki WatanabeAshvin Vishwanath
Jan 4, 2020·Science Advances·Zhida SongMichael Hermele
Feb 28, 2020·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Hoi Chun Po
Jul 31, 2020·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Vladimir DamljanovicMilan Damnjanovic
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Nov 18, 2018·Physical Review Letters·Qiyue WangFan Zhang
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Jun 15, 2019·Proceedings of the National Academy of Sciences of the United States of America·Chuang-Han HsuLiang Fu
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Mar 1, 2019·Nature·Tiantian ZhangChen Fang
Apr 18, 2020·Physical Review Letters·Rui-Xing ZhangS Das Sarma
Feb 6, 2020·Nanoscale·Meng-Han ZhangChang-Wen Zhang
Oct 30, 2020·Nature·Yuanfeng XuB Andrei Bernevig
Jul 3, 2021·Physical Review Letters·Giandomenico Palumbo
Oct 29, 2020·Journal of the American Chemical Society·Dong-Choon RyuByung Il Min
Oct 15, 2021·Nature Communications·Luis ElcoroB Andrei Bernevig

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