Topological Crystalline States with Non-trivial Relative Group Cohomology

ORAL

Abstract

The method of relative homotopy group has been know useful to characterize the surface defects that are not trivial extensions of bulk defects. We develop the method of relative group cohomology to study novel topological crystalline states characterized by non-trivial relative group cohomology and their relation to fragile topological crystalline states.

*This work is supported by NSF CAREER DMR-1848349 and in part by the Alfred P. Sloan Research Fellowships.

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Presenters

  • Sydney R Timmerman

    • Johns Hopkins University

Authors

  • Sydney R Timmerman

    • Johns Hopkins University

  • Yi Li

    • Johns Hopkins University
    • Physics and Astronomy, Johns Hopkins University