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  • Letter
  • Open Access

Spin Hall effect: Symmetry breaking, twisting, and giant disorder renormalization

David T. S. Perkins*, Alessandro Veneri, and Aires Ferreira†

  • School of Physics, Engineering and Technology and York Centre for Quantum Technologies, University of York, YO10 5DD York, United Kingdom

  • *Contact author: david.t.s.perkins@york.ac.uk
  • †Contact author: aires.ferreira@york.ac.uk

Phys. Rev. B 109, L241404 – Published 17 June, 2024

DOI: https://doi.org/10.1103/PhysRevB.109.L241404

Abstract

Atomically thin materials based on transition-metal dichalcogenides and graphene offer a promising avenue for unlocking the mechanisms underlying the spin Hall effect (SHE) in heterointerfaces. Here we develop a microscopic theory of the SHE for twisted van der Waals heterostructures that fully incorporates twisting and disorder effects and illustrate the critical role of symmetry breaking in the generation of spin Hall currents. We find that an accurate treatment of vertex corrections leads to a qualitatively and quantitatively different SHE than that obtained from the popular iη and ladder approximations. A pronounced oscillatory behavior of skew-scattering processes with twist angle θ is predicted, reflecting a nontrivial interplay of Rashba and valley-Zeeman effects and yields a vanishing SHE for θ=30∘ and, for graphene-WSe2 heterostructures, an optimal SHE for θ≈17∘. Our findings reveal disorder and broken symmetries as important knobs to optimize interfacial SHEs.

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