Coherent potential method in the theory of disordered alloys
Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 3, pp. 392-404
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Green's function of disordered alloy averaged over all configurations is written
down in the form of infinite series, in which every next term includes one extra
summation over the intermediate momenta. The first and second terms of the series
correspond to the coherent potential approximation. It is shown that for the one band
model the small parameter of the theory is $(a/R_0)^3$, where $a$ is the lattice constant,
$R_0$ – the length of the electron hopping over the lattice. For the two bands $sd$-model
the small parameter is $\gamma/W$, where $\gamma$ is the constant of $sd$-hybridization, $W$ – the width
of the $s$-band. It is shown that the series for the Green function is convergent for all
values of energy except those close to the edges of the bands. The effect of the shortest
range order in the alloy on the energy spectrum, is estimated.
@article{TMF_1977_31_3_a11,
author = {A. V. Vedyaev},
title = {Coherent potential method in the theory of disordered alloys},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {392--404},
publisher = {mathdoc},
volume = {31},
number = {3},
year = {1977},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1977_31_3_a11/}
}
A. V. Vedyaev. Coherent potential method in the theory of disordered alloys. Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 3, pp. 392-404. http://geodesic.mathdoc.fr/item/TMF_1977_31_3_a11/