Connecting the responses of quantum Hall states to gravitational and electric fields

ORAL

Abstract

We introduce the framework of gauge invariant variables to describe quantum Hall states This representation exploits novel aspects of the quantum geometry of charged particles in a magnetic field. We use this representation to reveal the geometric response of cyclotron orbits to non-uniform electric fields. We visualize the known connection between the gravitational response of quantum Hall states and their current response to nonuniform electric fields. We also conjecture that gravitational response is connected to the charge response of quantum Hall states to non-uniform electric fields.

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Presenters

  • YingKang Chen

    Physics and Astronomy, Purdue University, Purdue University, Department of Physics and Astronomy, Purdue University

Authors

  • YingKang Chen

    Physics and Astronomy, Purdue University, Purdue University, Department of Physics and Astronomy, Purdue University

  • GUODONG JIANG

    Physics and Astronomy, Purdue University, Department of Physics and Astronomy, Purdue University

  • Rudro Biswas

    Physics and Astronomy, Purdue University, Purdue University, Department of Physics and Astronomy, Purdue University