Slowing down of the hot electron-lattice thermalization by generation of nonequilibrium phonons (hot-phonon effect) is investigated in GaAs at room temperature using high-sensitivity femtosecond single- and double-wavelength absorption saturation techniques. Measurements were performed for different amplitudes of the hot-phonon effect by changing either the individual excess energy of the photoexcited carriers or their density in the range 7\ifmmode\times\else\texttimes\fi{}${10}^{15}$--4\ifmmode\times\else\texttimes\fi{}${10}^{17}$ ${\mathrm{cm}}^{\mathrm{\ensuremath{-}}3}$. After an initial regime dominated by nonequilibrium LO-phonon k-space redistribution, the long-time delay (\ensuremath{\ge}3 ps) electron thermalization is found to occur with a characteristic time of \ensuremath{\sim}1.9 ps, independent of the total energy initially injected into the carriers and essentially reflecting the LO-phonon energy relaxation. This is in agreement with numerical simulations of the coupled carrier-phonon relaxation dynamics, indicating that energy transfers to holes are responsible for this slight reduction of the thermalization time compared to the LO-phonon lifetime (identified with the dephasing time ${\mathit{T}}_{2}$/2\ensuremath{\sim}2.1 ps). \textcopyright{} 1996 The American Physical Society.
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