Lifshitz model in the presence of spin-orbit coupling
Disordered Systems and Neural Networks
2023-07-06 v1
Abstract
Wave function of a localized state created by a short-range impurity in two dimensions falls off with distance, r, from the impurity as r^{-1/2}exp(-r/a), where "a" is the localization radius. With randomly positioned identical impurities with low concentration, n<<a^{-2}, the level smears into a band due to the overlap of the impurity wave functions. This is the essence of the Lifshitz model. We demonstrate that, upon incorporation of the spin-orbit coupling, the impurity wave functions acquire oscillating factors which, subsequently, modify their overlap. As a result of such modification, the density of states develops singularities at certain energies.
Keywords
Cite
@article{arxiv.2307.01971,
title = {Lifshitz model in the presence of spin-orbit coupling},
author = {M. E. Raikh},
journal= {arXiv preprint arXiv:2307.01971},
year = {2023}
}