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Title: Topology on a new facet of bismuth

Abstract

Bismuth-based materials have been instrumental in the development of topological physics, even though bulk bismuth itself has been long thought to be topologically trivial. A recent study has, however, shown that bismuth is in fact a higher-order topological insulator featuring one-dimensional (1D) topological hinge states protected by threefold rotational and inversion symmetries. In this paper, we uncover another hidden facet of the band topology of bismuth by showing that bismuth is also a first-order topological crystalline insulator protected by a twofold rotational symmetry. As a result, its (11¯0) surface exhibits a pair of gapless Dirac surface states. Remarkably, these surface Dirac cones are “unpinned” in the sense that they are not restricted to locate at specific k points in the (11¯0) surface Brillouin zone. These unpinned 2D Dirac surface states could be probed directly via various spectroscopic techniques. Our analysis also reveals the presence of a distinct, previously uncharacterized set of 1D topological hinge states protected by the twofold rotational symmetry. Our study thus provides a comprehensive understanding of the topological band structure of bismuth.

Authors:
ORCiD logo [1];  [2];  [3];  [4];  [4];  [5];  [4]; ORCiD logo [6];  [4]
  1. National Univ. of Singapore (Singapore)
  2. National Cheng Kung University, Tainan (Taiwan)
  3. National Cheng Kung University, Tainan (Taiwan); Center for Quantum Frontiers of Research & Technology (QFort), Tainan (Taiwan)
  4. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  5. Northeastern Univ., Boston, MA (United States)
  6. Academia Sinica, Taipei (Taiwan)
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Northeastern Univ., Boston, MA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1577614
Grant/Contract Number:  
AC02-05CH11231; FG02-07ER46352; SC0018945
Resource Type:
Accepted Manuscript
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Volume: 116; Journal Issue: 27; Journal ID: ISSN 0027-8424
Publisher:
National Academy of Sciences
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Science & Technology; Other Topics

Citation Formats

Hsu, Chuang-Han, Zhou, Xiaoting, Chang, Tay-Rong, Ma, Qiong, Gedik, Nuh, Bansil, Arun, Xu, Su-Yang, Lin, Hsin, and Fu, Liang. Topology on a new facet of bismuth. United States: N. p., 2019. Web. doi:10.1073/pnas.1900527116.
Hsu, Chuang-Han, Zhou, Xiaoting, Chang, Tay-Rong, Ma, Qiong, Gedik, Nuh, Bansil, Arun, Xu, Su-Yang, Lin, Hsin, & Fu, Liang. Topology on a new facet of bismuth. United States. https://doi.org/10.1073/pnas.1900527116
Hsu, Chuang-Han, Zhou, Xiaoting, Chang, Tay-Rong, Ma, Qiong, Gedik, Nuh, Bansil, Arun, Xu, Su-Yang, Lin, Hsin, and Fu, Liang. Thu . "Topology on a new facet of bismuth". United States. https://doi.org/10.1073/pnas.1900527116. https://www.osti.gov/servlets/purl/1577614.
@article{osti_1577614,
title = {Topology on a new facet of bismuth},
author = {Hsu, Chuang-Han and Zhou, Xiaoting and Chang, Tay-Rong and Ma, Qiong and Gedik, Nuh and Bansil, Arun and Xu, Su-Yang and Lin, Hsin and Fu, Liang},
abstractNote = {Bismuth-based materials have been instrumental in the development of topological physics, even though bulk bismuth itself has been long thought to be topologically trivial. A recent study has, however, shown that bismuth is in fact a higher-order topological insulator featuring one-dimensional (1D) topological hinge states protected by threefold rotational and inversion symmetries. In this paper, we uncover another hidden facet of the band topology of bismuth by showing that bismuth is also a first-order topological crystalline insulator protected by a twofold rotational symmetry. As a result, its (11¯0) surface exhibits a pair of gapless Dirac surface states. Remarkably, these surface Dirac cones are “unpinned” in the sense that they are not restricted to locate at specific k points in the (11¯0) surface Brillouin zone. These unpinned 2D Dirac surface states could be probed directly via various spectroscopic techniques. Our analysis also reveals the presence of a distinct, previously uncharacterized set of 1D topological hinge states protected by the twofold rotational symmetry. Our study thus provides a comprehensive understanding of the topological band structure of bismuth.},
doi = {10.1073/pnas.1900527116},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 27,
volume = 116,
place = {United States},
year = {2019},
month = {6}
}

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Works referencing / citing this record:

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