Topology on a new facet of bismuth

ORAL

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 three-fold rotational and inversion symmetries. In this talk, 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 two-fold rotational symmetry. As a result, its $(1\bar{1}0)$ 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 $(1\bar{1}0)$ 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 two-fold rotational symmetry. Our study thus provides a comprehensive understanding of the topological band structure of bismuth.

*Support by Academia Sinica and MOST in Taiwan and USDOE and NSF is acknowledged.

Presenters

  • Hsin Lin

    • Academia Sinica
    • Physics, Academia Sinica
    • Institute of Physics, Academia Sinica, Taipei, Taiwan
    • Institute of Physics, Academia Sinica

Authors

  • Hsin Lin

    • Academia Sinica
    • Physics, Academia Sinica
    • Institute of Physics, Academia Sinica, Taipei, Taiwan
    • Institute of Physics, Academia Sinica
  • Chuang-Han Hsu

    • National University of Singapore
  • XIAOTING ZHOU

    • National Cheng Kung University
    • Physics and Astronomy, California State University, Northridge
    • Department of Physics and Astronomy, California State University, Northridge
  • Tay-Rong Chang

    • National Cheng Kung University
    • Physics, National Cheng Kung University
    • Department of Physics, National Cheng Kung University
    • National Cheng Kung University, Taiwan
  • Qiong Ma

    • Massachusetts Institute of Technology
    • Massachusetts Institute of Technology MIT
  • Nuh Gedik

    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology
    • Physics, MIT
  • Arun Bansil

    • Northeastern University
    • Physics, Northeastern University
  • Suyang Xu

    • Massachusetts Institute of Technology
    • Massachusetts Institute of Technology MIT
    • Physics, Massachusetts Institute of Technology
    • Harvard university
    • Harvard University
    • Havard University
  • Liang Fu

    • Massachusetts Institute of Technology
    • Massachusetts Institute of Technology MIT
    • Department of Physics, Massachusetts Institute of Technology MIT
    • Physics, MIT
    • Physics, Massachusetts Institute of Technology
    • MIT