Scattering states of coupled valence-band holes in point defect potential derived from variable phase theory

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dc.creatorBogdanski, P.
dc.creatorOuerdane, H.
dc.date2006-10-31
dc.date.accessioned2026-07-07T07:27:46Z
dc.date.available2026-07-07T07:27:46Z
dc.descriptionIn 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.
dc.description16 pages and 9 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0610886
dc.identifierhttp://arxiv.org/abs/cond-mat/0610886
dc.identifierPhys. Rev. B 74, 085210 (2006)
dc.identifierdoi:10.1103/PhysRevB.74.085210
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117491
dc.subjectMaterials Science
dc.titleScattering states of coupled valence-band holes in point defect potential derived from variable phase theory
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