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Spin Hall effect in a two-dimensional electron gas with uniform and random components of the Rashba spin-orbit interaction is considered theoretically. Relaxation time due to scattering on Rashba fluctuations is also calculated. It is shown that the presence of a uniform component of Rashba coupling not only modifies relaxation time, but also suppresses the contribution to the spin Hall conductivity due to random Rashba field.

Spin Hall Conductivity of a Two-Dimensional Electron Gas with Random Rashba Field