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  • Letter
  • Open Access

Anomalous planar Hall effect in two-dimensional trigonal crystals

Raffaele Battilomo1, Niccoló Scopigno1, and Carmine Ortix1,2

  • 1Institute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht University, Princetonplein 5, 3584 CC Utrecht, The Netherlands
  • 2Dipartimento di Fisica “E. R. Caianiello,” Universitá di Salerno, IT-84084 Fisciano, Italy

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Phys. Rev. Research 3, L012006 – Published 19 January, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L012006

Abstract

The planar Hall effect (PHE) is the appearance of an in-plane transverse voltage in the presence of coplanar electric and magnetic fields. Its hallmark is a characteristic π periodic, i.e., even under a magnetic-field reversal, angular dependence with the transverse voltage that exactly vanishes when the electric and magnetic fields are aligned. Here we demonstrate that in two-dimensional trigonal crystals Zeeman-induced nontrivial Berry curvature effects yield a previously unknown anomalous PHE that is odd in the magnetic field and independent of the relative angle with the driving electric field. We further show that when an additional mirror symmetry forces the transverse voltage to vanish in the linear-response regime, the anomalous PHE can occur as a second-order response at both zero and twice the frequency of the applied electric field. We demonstrate that this nonlinear PHE possesses an antisymmetric quantum contribution that originates from a Zeeman-induced Berry curvature dipole.

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Phys. Rev. Research 3, L012006– Published 19 January, 2021
  • Received 30 April 2020
  • Revised 1 August 2020
  • Accepted 23 December 2020
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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