Symmetry-Based Indicators of Band Topology I: Formalism

ORAL

Abstract

We develop an efficient theory to answer one of the oldest questions in band theory, namely, what are the possible symmetry-respecting ways to connect energy bands across the Brillouin zone? We find solutions for all 1,651 magnetic space groups in 3D, from which we extract fundamental physical quantities, like the minimal number of electrons required to form a band insulator, and how nontrivial band topology may be reflected in the symmetry eigenvalues.

*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.

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Presenters

  • Hoi Chun Po

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

Authors

  • Hoi Chun Po

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

  • Haruki Watanabe

    • Applied Physics, University of Tokyo

  • Ashvin Vishwanath

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