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  • Title: Covariant Conservation Laws and the Spin Hall Effect in Dirac-Rashba Systems.
    Author: Milletarì M, Offidani M, Ferreira A, Raimondi R.
    Journal: Phys Rev Lett; 2017 Dec 15; 119(24):246801. PubMed ID: 29286746.
    Abstract:
    We present a theoretical analysis of two-dimensional Dirac-Rashba systems in the presence of disorder and external perturbations. We unveil a set of exact symmetry relations (Ward identities) that impose strong constraints on the spin dynamics of Dirac fermions subject to proximity-induced interactions. This allows us to demonstrate that an arbitrary dilute concentration of scalar impurities results in the total suppression of nonequilibrium spin Hall currents when only Rashba spin-orbit coupling is present. Remarkably, a finite spin Hall conductivity is restored when the minimal Dirac-Rashba model is supplemented with a spin-valley interaction. The Ward identities provide a systematic way to predict the emergence of the spin Hall effect in a wider class of Dirac-Rashba systems of experimental relevance and represent an important benchmark for testing the validity of numerical methodologies.
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