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  • Letter

Intrinsic nonlinear conductivities induced by the quantum metric

Kamal Das1,2,*,†, Shibalik Lahiri1,3,*,‡, Rhonald Burgos Atencia4,5,§, Dimitrie Culcer4,5,∥, and Amit Agarwal1,¶

  • 1Department of Physics, Indian Institute of Technology Kanpur, Kanpur 208016, India
  • 2Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 7610001, Israel
  • 3Department of Physics and Astronomy, Purdue University, West Lafayette, Indiana 47907, USA
  • 4School of Physics, The University of New South Wales, Sydney 2052, Australia
  • 5Australian Research Council Centre of Excellence in Low-Energy Electronics Technologies, The University of New South Wales, Sydney 2052, Australia

  • *These authors contributed equally to this work.
  • †daskamal457@gmail.com
  • ‡lahiris@purdue.edu
  • §r.burgos@unsw.edu.au
  • ∥d.culcer@unsw.edu.au
  • amitag@iitk.ac.in
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Phys. Rev. B 108, L201405 – Published 30 November, 2023

DOI: https://doi.org/10.1103/PhysRevB.108.L201405

Abstract

Three mechanisms are known to contribute to second-order nonlinear current: Extrinsic nonlinear Drude, Berry curvature dipole, and intrinsic Berry connection polarizability. Here, we predict an intrinsic contribution to the current related to the quantum metric, a quantum geometric property of the electronic wave function. This contribution manifests in systems that simultaneously break the time-reversal and the inversion symmetry. Interestingly, this contribution is dissipative and contributes to both longitudinal and transverse response. The quantum metric-induced NL current dominates transport in parity-time reversal symmetric systems near the band edges, something we show explicitly for topological antiferromagnets.

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Phys. Rev. B 108, L201405– Published 30 November, 2023
  • Received 4 October 2022
  • Revised 6 September 2023
  • Accepted 6 November 2023
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