Symmetry-Based Indicators of Band Topology II: Applications

ORAL

Abstract

How do the symmetry representation of band structures relate to band topology? For space groups with inversion symmetry, the Fu-Kane formula determines the strong/weak index of a band structure based on the parity eigenvalues of the occupied bands. We generalize the relation between symmetry representation and band topology to all 230 space groups and further to all 1651 magnetic space groups. Examples of nontrivial band topology indicated by symmetry representation include topological insulators, (mirror) Chern insulators, and even Weyl/nodal line semimetals. In particular, two copies of a strong topological insulator turns out to be still nontrivial in the presence of inversion symmetry. In this talk, we will discuss these interesting examples in detail.

*A.V. and H.C.P. were supported by NSF DMR-1411343. A.V. acknowledges support from a Simons Investigator Award. H.W. acknowledges support from JSPS KAKENHI Grant Number JP17K17678.

–

Presenters

  • HARUKI WATANABE

    • Applied Physics, University of Tokyo
    • Department of Applied Physics, University of Tokyo

Authors

  • HARUKI WATANABE

    • Applied Physics, University of Tokyo
    • Department of Applied Physics, University of Tokyo

  • Hoi Chun Po

    • Physics, Harvard University
    • Physics, Harvard
    • Department of Physics, Harvard University

  • Ashvin Vishwanath

    • Physics, Harvard University
    • Physics, Harvard university
    • Harvard Univ
    • Physics, Harvard
    • Harvard University