Universal spin-Hall conductance fluctuations in two dimensions

Details Universal spin-Hall conductance fluctuations in two dimensions Universal spin-Hall conductance fluctuations in two dimensions

2006-08-10

arxiv.org/abs/cond-mat/0608240v1

Phys. Rev. Lett 97, 066603 (2006).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

to be published in Phys. Rev. Lett., 4 figures

Scientific paper

10.1103/PhysRevLett.97.066603

We report a theoretical investigation on spin-Hall conductance fluctuation of disordered four terminal devices in the presence of Rashba or/and Dresselhaus spin-orbital interactions in two dimensions. As a function of disorder, the spin-Hall conductance $G_{sH}$ shows ballistic, diffusive and insulating transport regimes. For given spin-orbit interactions, a universal spin-Hall conductance fluctuation (USCF) is found in the diffusive regime. The value of the USCF depends on the spin-orbit coupling $t_{so}$, but is independent of other system parameters. It is also independent of whether Rashba or Dresselhaus or both spin-orbital interactions are present. When $t_{so}$ is comparable to the hopping energy $t$, the USCF is a universal number $\sim 0.18 e/4\pi$. The distribution of $G_{sH}$ crosses over from a Gaussian distribution in the metallic regime to a non-Gaussian distribution in the insulating regime as the disorder strength is increased.

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