We study spin relaxation in n-type bulk GaAs, due to the Dyakonov-Perel mechanism, using ensemble Monte Carlo methods. Our results confirm that spin relaxation time increases with the electronic density in the regime of moderate electronic concentrations and high temperature. We show that the electron-electron scattering in the non-degenerate regime significantly slows down spin relaxation. This result supports predictions by Glazov and Ivchenko. Most importantly, our findings highlight the importance of many-body interactions for spin dynamics: we show that only by properly taking into account electron-electron interactions within the simulations, results for the spin relaxation time-with respect to both electron density and temperature-will reach good quantitative agreement with corresponding experimental data. Our calculations contain no fitting parameters.

We study the spin decoherence in n-type bulk GaAs for moderate electronic densities at room temperature using the Ensemble Monte Carlo method. We demonstrate that a technique called "third-body rejection method", devised by Ridley [B. K. Ridley, J. Phys. C: Solid State Phys. 10, 1589, 1977 can be successfully adapted to ensemble Monte Carlo method and used to tackle the problem of the electron-electron contribution to spin decoherence in the parameter region under study, where the electron-electron interaction can be reasonably described by a Yukawa potential. This scattering technique is employed in a doping region where one can expect that multiple collisions may play a role in carrier dynamics. By this technique we are able to calculate spin relaxation times which are in very good agreement with the experimental results found by Oertel et al.[S. Oertel, J. Hübner, M. Oestreich, Appl. Phys. Lett., 93, 13, 2008]. Through this method we show that the electron-electron scattering is overstimated in Born approximation, in agreement with previous results obtained by Kukkonen and Smith [C. A. Kukkonen, H. Smith, Phys. Rev. B, 8, 4601, 1973].