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  • Letter
  • Open Access

Crossed nonlinear dynamical Hall effect in twisted bilayers

Cong Chen1,2,*, Dawei Zhai1,2,*, Cong Xiao2,3,†, and Wang Yao1,2,‡

  • 1New Cornerstone Science Laboratory, Department of Physics, University of Hong Kong, Hong Kong, China
  • 2HKU-UCAS Joint Institute of Theoretical and Computational Physics at Hong Kong, Hong Kong, China
  • 3Institute of Applied Physics and Materials Engineering, University of Macau, Taipa, Macau, China

  • *These authors contributed equally to this work.
  • †congxiao@um.edu.mo
  • ‡wangyao@hku.hk
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Phys. Rev. Research 6, L012059 – Published 13 March, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L012059

Abstract

We propose a nonlinear dynamical Hall effect characteristic of layered materials with chiral symmetry, which is driven by the joint action of in-plane and time variation of out-of-plane ac fields jH∼Ė⊥×E∥. A different band geometric quantity—interlayer Berry connection polarizability, which probes a mixed quantum metric characteristic of layer hybridized electrons by twisted interlayer coupling—underlies this effect. When the two orthogonal fields have a common frequency, their phase difference controls the on/off, direction, and magnitude of the rectified Hall current. We show sizable effects in twisted homobilayer transition metal dichalcogenides and twisted bilayer graphene over a broad range of twist angles. Our work opens the door to discovering mixed quantum metric responses unique to van der Waals stacking and concomitant applications under the nonlinear spotlight.

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Phys. Rev. Research 6, L012059– Published 13 March, 2024
  • Received 24 March 2023
  • Accepted 23 January 2024
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