Band geometry and electrical response of Chern insulators

ORAL

Abstract

Band geometry plays an important role in the stability of fractionalized topological phases in partially filled Chern bands. In Landau levels, the response to non-uniform electric fields is related to a geometric quantity, the Hall viscosity. Here we study the connection between quantum band geometry and response to spatially varying electric fields and show that these responses may be used to probe band geometric quantities.

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Authors

  • Albert Brown

    Univ of California - Los Angeles

  • Fenner Harper

    University of California, Los Angeles, Univ of California - Los Angeles

  • Rahul Roy

    University of California, Los Angeles, Univ of California - Los Angeles