Geometric Correlations and Breakdown of Mesoscopic Universality in Spin Transport
arXiv:1008.4656 · doi:10.1103/PhysRevLett.105.246807
Abstract
We construct a unified semiclassical theory of charge and spin transport in chaotic ballistic and disordered diffusive mesoscopic systems with spin-orbit interaction. Neglecting dynamic effects of spin-orbit interaction, we reproduce the random matrix theory results that the spin conductance fluctuates universally around zero average. Incorporating these effects in the theory, we show that geometric correlations generate finite average spin conductances, but that they do not affect the charge conductance to leading order. The theory, which is confirmed by numerical transport calculations, allows us to investigate the entire range from the weak to the previously unexplored strong spin-orbit regime, where the spin rotation time is shorter than the momentum relaxation time.
5 pages, 1 figure, RevTex, submitted to Physical Review Letters
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- Intrinsic Spin Hall Edges
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- Mesoscopic Spin Hall Effect
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- Spin-to-Charge Conversion of Mesoscopic Spin Currents
- Spin transistor action from Onsager reciprocity and SU(2) gauge theory
- Spin Chaos Manifestation in a Driven Quantum Billiard with Spin-Orbit Coupling
- Universal Features of Spin Transport and Breaking of Unitary Symmetries
- Non-linear spin filter for non-magnetic materials at zero magnetic field
- Universal spatial correlations in random spinor fields
- Spin polarization induced by an electric field in the presence of weak localization effects