Topological quantum properties of chiral crystals

Chang, Guoqing; Wieder, Benjamin J.; Schindler, Frank; Sanchez, Daniel S.; Belopolski, Ilya; Huang, Shin-Ming; Singh, Bahadur; Wu, Di; Chang, Tay-Rong; Neupert, Titus; Xu, Su-Yang; Lin, Hsin; Hasan, M. Zahid

doi:10.1038/s41563-018-0169-3

Title: Topological quantum properties of chiral crystals

Journal Article · 30 September 2018 · Nature Materials

DOI: https://doi.org/10.1038/s41563-018-0169-3 · OSTI ID:1638188

^[1];

^[2]; Schindler, Frank ^[3]; Sanchez, Daniel S. ^[4]; Belopolski, Ilya ^[4];

^[5];

^[6]; Wu, Di ^[6]; Chang, Tay-Rong ^[7];

^[3]; Xu, Su-Yang ^[4]; Lin, Hsin ^[8];

^[9]

Princeton Univ., NJ (United States). Dept. of Physics; National Univ. of Singapore (Singapore). Dept of Physics, Centre for Advanced 2D Materials, and Graphene Research Centre; Academia Sinica, Taipei (Taiwan). Inst. of Physics
Princeton Univ., NJ (United States). Dept. of Physics; Stockholm Univ. (Sweden); KTH Royal Inst. of Technology, Stockholm (Sweden); Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy
Univ. of Zurich (Switzerland). Dept. of Physics
Princeton Univ., NJ (United States). Dept. of Physics
National Sun Yat-Sen Univ., Kaoshiung (Taiwan). Dept. of Physics
National Univ. of Singapore (Singapore). Dept of Physics, Centre for Advanced 2D Materials, and Graphene Research Centre
National Cheng Kung Univ., Tainan City (Taiwan). Dept. of Physics
National Univ. of Singapore (Singapore). Dept of Physics, Centre for Advanced 2D Materials, and Graphene Research Centre; Academia Sinica, Taipei (Taiwan). Inst. of Physics
Princeton Univ., NJ (United States). Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Chiral crystals are materials with a lattice structure that has a well-defined handedness due to the lack of inversion, mirror or other roto-inversion symmetries. Although it has been shown that the presence of crystalline symmetries can protect topological band crossings, the topological electronic properties of chiral crystals remain largely uncharacterized. In this paper we show that Kramers–Weyl fermions are a universal topological electronic property of all non-magnetic chiral crystals with spin–orbit coupling and are guaranteed by structural chirality, lattice translation and time-reversal symmetry. Unlike conventional Weyl fermions, they appear at time-reversal-invariant momenta. We identify representative chiral materials in 33 of the 65 chiral space groups in which Kramers–Weyl fermions are relevant to the low-energy physics. We determine that all point-like nodal degeneracies in non-magnetic chiral crystals with relevant spin–orbit coupling carry non-trivial Chern numbers. Kramers–Weyl materials can exhibit a monopole-like electron spin texture and topologically non-trivial bulk Fermi surfaces over an unusually large energy window.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: European Research Council (ERC); Gordon and Betty Moore Foundation; Ministry of Science and Technology of China (MOST); Nordic Institute for Theoretical Physics; Singapore National Science Foundation; Swiss National Science Foundation (SNSF); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC02-05CH11231; FG02-05ER46200; SC0016239

OSTI ID:: 1638188

Journal Information:: Nature Materials, Journal Name: Nature Materials Journal Issue: 11 Vol. 17; ISSN 1476-1122

Publisher:: Springer Nature - Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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36 MATERIALS SCIENCE
condensed-matter physics
electronic properties and materials
materials science
structure of solids and liquids

Title: Topological quantum properties of chiral crystals

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