Scattering states of coupled valence-band holes in point defect potential derived from variable phase theory
Abstract
In this article we present a method to compute the scattering states of holes in spherical bands in the strong spin-orbit coupling regime. More precisely, we calculate scattering phase shifts and amplitudes of holes induced by defects in a semiconductor crystal. We follow a previous work done on this topic by Ralph [H. I. Ralph, Philips Res. Rept. 32 160 (1977)] to account for the p-wave nature and the coupling of valence band states. We extend Ralph's analysis to incorporate finite-range potentials in the scattering problem. We find that the variable phase method provides a very convenient framework for our purposes and show in detail how scattering amplitudes and phase shifts are obtained. The Green's matrix of the Schroedinger equation, the Lippmann-Schwinger equation and the Born approximation are also discussed. Examples are provided to illustrate our calculations with Yukawa type potentials.
Keywords
Cite
@article{arxiv.cond-mat/0610886,
title = {Scattering states of coupled valence-band holes in point defect potential derived from variable phase theory},
author = {P. Bogdanski and H. Ouerdane},
journal= {arXiv preprint arXiv:cond-mat/0610886},
year = {2007}
}
Comments
16 pages and 9 figures