4.8 Article

Covariant Conservation Laws and the Spin Hall Effect in Dirac-Rashba Systems

期刊

PHYSICAL REVIEW LETTERS
卷 119, 期 24, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.119.246801

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资金

  1. Royal Society (U.K.) through a Royal Society University Research Fellowship
  2. Centre for Advanced 2D Materials (CA2DM) at National University of Singapore (NUS) [R-723-000-009-281 (GL 769105)]
  3. EPSRC [EP/N004817/1]
  4. Engineering and Physical Sciences Research Council [EP/N004817/1] Funding Source: researchfish
  5. EPSRC [EP/N004817/1] Funding Source: UKRI

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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 spinvalley 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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