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arxiv 0910.0951 v2 pith:2XTO6MFI submitted 2009-10-06 cond-mat.other cond-mat.dis-nn

Diffusive and precessional spin dynamics in a two-dimensional electron gas with disorder: a gauge theory view

classification cond-mat.other cond-mat.dis-nn
keywords spindynamicsgaugediffusiveelectronprecessionalrelaxationcoupling
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We develop a gauge theory for diffusive and precessional spin dynamics in two-dimensional electron gas with disorder. Our approach reveals a direct connections between the absence of the equilibrium spin current and strong anisotropy in the spin relaxation: both effects arise if the spin-orbit coupling is reduced to a pure gauge SU(2) field. In this case, by a gauge transformation in the form of a local SU(2) rotation in the spin subspace the spin-orbit coupling can be removed. The resulting spin dynamics is exactly described in terms of two kinetic coefficients: the spin diffusion and electron mobility. After the inverse transformation, full diffusive and precessional spin density dynamics, including the anisotropic spin relaxation, formation of stable spin structures, and spin precession induced by a macroscopic current, is restored. Explicit solutions of the spin evolution equations are found for the initially uniform spin density and for stable nonuniform structures. Our analysis demonstrates a universal relation between the spin relaxation rate and spin diffusion coefficient.

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Cited by 1 Pith paper

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    Distinguishes Wilson holonomy from spectral monodromy in spin-orbit rings and maps the Hamiltonian to effective U(1) plus non-Abelian connections for two explicit ring models.