Effects of electron-electron interactions on the rate of spin-relaxation

Spin-relaxation, in the presence of a uniform intrinsic spin- orbit interaction, is studied in a disordered two-dimensional electron gas when the temperature corrections to the conductivity arising as a result of the combined action of the electron-electron interaction and disorder are important. We find that the rate of spin-relaxation $\tau_{so}$ follows the temperature dependence of the conductivity $\sigma$, i.e., $\tau_{so}^{-1}(T)\propto \sigma(T)$.