Spin-Hall effect and spin-coherent excitations in a strongly confined two-dimensional hole gas
P. Kleinert, V.V. Bryksin

TL;DR
This paper derives spin-charge coupled drift-diffusion equations for a strongly confined 2D hole gas, revealing the intrinsic spin-Hall effect, a threshold for spin transport regimes, and undamped spin-coherent oscillations.
Contribution
It introduces a rigorous quantum-kinetic framework to analyze spin-charge dynamics, identifying conditions for spin-Hall effect and coherent oscillations in confined hole gases.
Findings
Intrinsic spin-Hall effect observed at weak spin-orbit coupling.
Existence of a threshold separating diffusive and ballistic spin transport.
Detection of undamped spin-coherent oscillations in the ballistic regime.
Abstract
Based on a rigorous quantum-kinetic approach, spin-charge coupled drift-diffusion equations are derived for a strongly confined two-dimensional hole gas. An electric field leads to a coupling between the spin and charge degrees of freedom. For weak spin-orbit interaction, this coupling gives rise to the intrinsic spin-Hall effect. There exists a threshold value of the spin-orbit coupling constant that separates spin diffusion from ballistic spin transport. In the latter regime, undamped spin-coherent oscillations are observed. This result is confirmed by an exact microscopic approach valid in the ballistic regime.
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