Abstract
The time-dependent linearized Boltzmann equation is solved accurately by a new self-consistent algorithm to obtain the time-dependent subband distribution functions in response to a step-wise electric field applied parallel to the AlGaAsGaAs heterojunction interface. This study is for the polar optical phonon-electron scattering only. Both intra- and inter-subband scatterings are included. It is found that the energy-dependent subband relaxation time oscillates with a period equal to the polar optical phonon energy of 36meV as the relaxation time is plotted against energy. The short time transport behavior is found to be restricted to within a few picoseconds. The electrons drift in a free-streaming fashion in a time scale of a few hundred femtoseconds. The time-dependent mobility begins to saturate at the steady state value in one picosecond at 300 K and 50 picoseconds at 77 K.
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