Energy relaxation in a tail at zero temperature in the hopping regime

We argue that energy relaxation of nonequilibrium charge carriers at zero temperature in the hopping regime is Miller-Abraham-like, that is, the charge carriers always jump to the next closest site. The Miller-Abraham-like motion of the charge carriers manifests itself in the moments of the energy distribution function. Due to the motion on Miller-Abraham paths the rate of energy relaxation is much smaller, as if the particles would relax in a percolation-like fashion. In contrast to percolation-like relaxation the dispersion of the transport coefficients in the Miller-Abraham regime depends truly on two parameters. A small rise of the temperature leads to a strong increase of the energy relaxation rate and the strength of the increase depends strongly on disorder.