Chiral-symmetric higher-order topological phases protected by multipole winding number invariants

ORAL

Abstract

We introduce novel higher-order topological phases in chiral-symmetric systems (class AIII of the ten-fold classification), most of which would be misidentified as trivial by current theories. These phases are protected by multipole winding numbers, bulk integer topological invariants that in 2D and 3D are built from sublattice multipole moment operators, as defined herein. The integer value of a multipole winding number indicates the number of degenerate zero-energy states localized at each corner of a crystal. These phases are generally boundary-obstructed and robust in the presence of disorder.

*W.A.B. thanks the support of the Moore Postdoctoral Fellowship at Princeton University and the Eberly Postdoctoral Fellowship at the Pennsylvania State University. A.C. acknowledges support from the Center for Integrated Nanotechnologies, an Office of Science User Facility operated for the U.S.\ Department of Energy (DOE) Office of Science, and the Laboratory Directed Research and Development program at Sandia National Laboratories. Sandia National Laboratories is a multimission laboratory managed and operated by National Technology & Engineering Solutions of Sandia, LLC, a wholly-owned subsidiary of Honeywell International, Inc., for the U.S.\ DOE's National Nuclear Security Administration under contract DE-NA-0003525. The views expressed in the article do not necessarily represent the views of the U.S.\ DOE or the United States Government.

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Publication: arXiv:2109.06892

Presenters

  • Wladimir A Benalcazar

    • Princeton University
    • Pennsylvania State University

Authors

  • Wladimir A Benalcazar

    • Princeton University
    • Pennsylvania State University