Topological states from topological crystals

ORAL

Abstract

We show that crystalline symmetry protected topological states is adiabatically connected to a real-space crystalline pattern of lower-dimensional topological states, which we refer to as a topological crystal. As a demonstration of principle, we explicitly enumerate all inequivalent topological crystals for non-interacting time-reversal symmetric electronic insulators with significant spin-orbit coupling and any one of the 230 space groups in three dimensions. Because every topological crystalline insulator can be deformed into a topological crystal, the enumeration of the latter gives topological crystalline insulators a full classification and for each class an explicit real-space construction.

*SZD and CF acknowledge support from Ministry of Science and Technology of China under Ministry of Science and Technology of China under grant numbers 2016YFA0302400, 2016YFA0300600, from National Science Foundation of China under grant number 11674370, and from Chinese Academy of Sciences under grant number XXH13506-202. The research of SJH and MH is supported by the U.S. Department of Energy, Office of Science, Basic Energy Sciences (BES) under Award number DE-SC0014415.

–

Presenters

  • Sheng-Jie Huang

    • University of Colorado, Boulder
    • Department of Physics, University of Colorado, Boulder
    • Department of Physics, University of Colorado, Boulder, Colorado 80309, USA

Authors

  • Zhida Song

    • Chinese Academy of Sciences
    • Institute of physics, Chinese Academy of Sciences

  • Sheng-Jie Huang

    • University of Colorado, Boulder
    • Department of Physics, University of Colorado, Boulder
    • Department of Physics, University of Colorado, Boulder, Colorado 80309, USA

  • Yang Qi

    • Department of Physics, Fudan University
    • Physics, Fudan University
    • Fudan University
    • Physics, Fudan Univeristy

  • Chen Fang

    • Chinese Academy of Sciences
    • Beijing National Laboratory for Condensed Matter Physics, and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
    • Institute of Physics, Chinese Academy of Sciences
    • Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
    • Institute of physics, Chinese Academy of Sciences

  • Michael A Hermele

    • Department of Physics, University of Colorado, Boulder CO 80309
    • Physics, University of Colorado, Boulder
    • University of Colorado, Boulder