A Geometric Perspective on Quantized Nonlinear Response

ORAL

Abstract

This work builds on previous work showing that topological and quantum-geometric invariants govern quantized photoconductivity and nonlinear Hall effects in various topological systems. We provide a geometric perspective for understanding the quantization of nonlinear responses and establish a connection to higher cocycles in group cohomology.

*This work is supported by NSF CAREER Grant DMR-1848349.

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Presenters

  • Yi Li

    • Johns Hopkins University

Authors

  • Yi Li

    • Johns Hopkins University

  • Junyi Zhang

    • Johns Hopkins University

  • Colton Lelievre

    • Johns Hopkins University