NONEQUILIBRIUM ELECTRONS UNDER QUANTIZATION CONDITIONS

An analytical kinetic theory is developed for a nonequilibrium electro n gas under conditions when one or two degrees of freedom of the elect ron motion are quantized. We reveal universal features of the hot elec tron kinetics for an arbitrary quantizing potential. The theory can be applied to 2D or 1D electron gases or to 3D electrons subject to a qu antizing magnetic field. It is shown that the kinetic behaviour of the quantized electrons is qualitatively different at low and high lattic e temperature. We have obtained a set of new nonequilibrium distributi on functions and presented novel non-linear regimes of hot electron tr ansport under relevant conditions.