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Solution of the Single-Site Aspherical Scattering Problem for the Dirac Equation

Published online by Cambridge University Press:  25 February 2011

Stephen C. Lovatt,
B.L. Gyorffy and
Guang-Yu Guo
Stephen C. Lovatt
Affiliation:
H.H. Wills Physics Laboratory, University of Bristol. Tyndall Avenue, Bristol, England
B.L. Gyorffy
Affiliation:
H.H. Wills Physics Laboratory, University of Bristol. Tyndall Avenue, Bristol, England
Guang-Yu Guo
Affiliation:
SERC Daresbury Laboratory, Warrington, Cheshire, England
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Abstract

We study the scattering solutions of the Dirac equation numerically for anisotropic, finite range (warped muffin-tin), potentials. In particular, we calculate the partial-wave scattering matrix, ƒAA'(ε) and S-matrix SAA′(ε), for a potential characteristic of crystalline Silicon. We illustrate the consequences of aspherical scattering with reference to Silicon.

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