In the present work we calculate the non-linear additives to the Brooks-Herring electrostatic screened potential. We also calculate the corresponding additives to the ionized impurity scattering mobility in n-GaAs over a wide range of doping levels and temperatures. It is demonstrated that the additives to the mobility changes its value up to 50%. The most dramatically mobility is changed near the Mott transition, when the doping level is about 1014 - 2×1016 cm−3 and temperature is below 50 K. Also, the results allow us to conclude that the non-linear additives break the cross section symmetry with respect to the sign of the charge of the scattering center.
@article{arxiv.1409.4446,
title = {Non-linear additives to the Brooks-Herring screened potential},
author = {P. N. Romanets},
journal= {arXiv preprint arXiv:1409.4446},
year = {2014}
}