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Longitudinal and spin-Hall conductance of a two-dimensional Rashba system with arbitrary disorder

Catalin Pascu Moca·D. C. Marinescu
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Abstract

We calculate the longitudinal and spin-Hall conductances in four-lead bridges with Rashba - Dresselhaus spin-orbit interactions. Numerical results are obtained both within Landauer-Buttiker formalism and by the direct evaluation of the Kubo formula. The microscopic Hamiltonian is obtained in the tight-binding approximation in terms of the neareast-neighbor hopping integral $t$, the Rashba spin-orbit coupling $V_R$, the Dresselhaus spin-orbit coupling $V_D$ and an Anderson-like, on-site disorder energy strength $W$. We reconfirm that below a critical disorder threshold, the spin-Hall effect is present. Further, we study the effect on the two conductivities of the Fermi energy, Rashba/Dresselhaus coefficient ratio, and system size.

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Catalin Pascu Moca, D. C. Marinescu. 2005-10-31. Longitudinal and spin-Hall conductance of a two-dimensional Rashba system with arbitrary disorder. https://doi.org/10.1103/physrevb.72.165335

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