Extrinsic Entwined with Intrinsic Spin Hall Effect in Disordered Mesoscopic Bars

Abstract

We show that pure spin Hall current, flowing out of a four-terminal phase-coherent two-dimensional electron gas (2DEG) within inversion asymmetric semiconductor heterostructure, contains contributions from both the extrinsic mechanisms (spin-orbit dependent scattering off impurities) and the intrinsic ones (due to the Rashba coupling). While the extrinsic contribution vanishes in the weakly and strongly disordered limits, and the intrinsic one dominates in the quasiballistic limit, in the crossover transport regime the spin Hall conductance, exhibiting sample-to-sample large fluctuations and sign change, is not simply reducible to either of the two mechanisms, which can be relevant for interpretation of experiments on dirty 2DEGs [V. Sih et al., Nature Phys. 1, 31 (2005)].

5 pages, 3 color EPS figures

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• Spin and Charge Shot Noise in Mesoscopic Spin Hall Systems
• Spin Hall angle in single-layer graphene
• Orbital Hall effect and topology on a two-dimensional triangular lattice: from bulk to edge
• Intrinsic and extrinsic anomalous Hall effects in disordered magnetic Weyl semimetal