Spin Hall Effect: Symmetry Breaking, Twisting, and Giant Disorder Renormalization

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 popular approaches like the ``$i\eta$'' and ladder approximations. A pronounced oscillatory behavior of skew-scattering processes with twist angle, $\theta$, is predicted, reflecting a non-trivial interplay of Rashba and valley-Zeeman effects and yields a vanishing SHE for $\theta =30^{\circ }$ and, for graphene-WSe${}_2$, an optimal SHE for $\theta \approx 17^{\circ }$. Our findings reveal disorder and broken symmetries as important knobs to optimize interfacial SHEs.

8 pages, 3 figures (includes supplemental material); accepted version in Phys. Rev. B

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Cited by in corpus (5)

• Extrinsic Orbital Hall Effect: Orbital Skew Scattering and Crossover Between Diffusive and Intrinsic Orbital Transport
• Spintronics in 2D graphene-based van der Waals heterostructures
• Designing Topological High-Order Van Hove Singularities: Twisted Bilayer Kagomé
• Designer spin-orbit superlattices: symmetry-protected Dirac cones and spin Berry curvature in two-dimensional van der Waals metamaterials
• Reconciling Kubo and Keldysh Approaches to Fermi-Sea-Dependent Nonequilibrium Observables: Application to Spin Hall Current and Spin-Orbit Torque in Spintronics