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We have investigated the spin dynamics of a high-mobility two-dimensionalelectron system (2DES) in a GaAs--Al$_{0.3}$Ga$_{0.7}$As single quantum well bytime-resolved Faraday rotation (TRFR) in dependence on the initial degree ofspin polarization, $P$, of the 2DES. From $P\sim 0$ to $P\sim 30$ %, we observean increase of the spin dephasing time, $T_2^\ast$, by an order of magnitude,from about 20 ps to 200 ps, in good agreement with theoretical predictions byWeng and Wu [Phys. Rev. B {\bf 68}, 075312 (2003)]. Furthermore, by applying anexternal magnetic field in the Voigt configuration, also the electron $g$factor is found to decrease for increasing $P$. Fully microscopic calculations,by numerically solving the kinetic spin Bloch equations considering theD'yakonov-Perel' and the Bir-Aronov-Pikus mechanisms, reproduce the mostsalient features of the experiments, {\em i.e}., a dramatic decrease of spindephasing and a moderate decrease of the electron $g$ factor with increasing$P$. We show that both results are determined dominantly by the Hartree-Fockcontribution of the Coulomb interaction.Comment: 4 pages, 4 figures, to be published in PR

physical review letters

Effect of Initial Spin Polarization on Spin Dephasing and the Electron<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>g</mml:mi></mml:math>Factor in a High-Mobility Two-Dimensional Electron System

Effect of Initial Spin Polarization on Spin Dephasing and the ElectrongFactor in a High-Mobility Two-Dimensional Electron System