Abstract:
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/R0)3, where a is the lattice constant,
R0 – the length of the electron hopping over the lattice. For the two bands sd-model
the small parameter is γ/W, where γ 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.
Citation:
A. V. Vedyaev, “Coherent potential method in the theory of disordered alloys”, TMF, 31:3 (1977), 392–404; Theoret. and Math. Phys., 31:3 (1977), 532–540
\Bibitem{Ved77}
\by A.~V.~Vedyaev
\paper Coherent potential method in the theory of disordered alloys
\jour TMF
\yr 1977
\vol 31
\issue 3
\pages 392--404
\mathnet{http://mi.mathnet.ru/tmf3038}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 31
\issue 3
\pages 532--540
\crossref{https://doi.org/10.1007/BF01030572}
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https://www.mathnet.ru/eng/tmf3038
https://www.mathnet.ru/eng/tmf/v31/i3/p392
This publication is cited in the following 16 articles:
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Yu. A. Fridman, Ph. N. Klevets, A. P. Voytenko, “Cascade of phase transitions in the Fe1 - x Co x monolayer”, Phys. Solid State, 53:4 (2011), 745
Yuriy Skrypnyk, “Criterion of applicability of coherent-potential approximation at low impurity concentrations”, Journal of Non-Crystalline Solids, 352:40-41 (2006), 4325
M. I. Vasilevskiy, A. I. Belogorokhov, M. J. M. Gomes, “The effects of short-range order and natural microinhomogeneities on the FIR optical properties of CdxHg1-xTe”, Journal of Elec Materi, 28:6 (1999), 654
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A. K. Arzhnikov, S. G. Novokshonov, “Cluster generalization of the coherent-potential approximation on the basis of the projection formalism in an augmented space”, Theoret. and Math. Phys., 84:1 (1990), 764–772
A. K. Arzhnikov, A. V. Vedyaev, “Coherent potential method for a Heisenberg ferromagnet with nonmagnetic impurities”, Theoret. and Math. Phys., 77:3 (1988), 1309–1316
I. V. Masanskii, V. I. Tokar', “Method of γ expansions in the electronic theory of disordered alloys”, Theoret. and Math. Phys., 76:1 (1988), 747–757
M. SH. Erukhimov, S. G. Ovchinnikov, “Elementary excitations in anisotropic narrow-band magnetic semiconductors”, Theoret. and Math. Phys., 67:2 (1986), 473–482
V. E. Egorushkin, A. I. Kul'ment'ev, “Electron structure of transition-metal alloys with arbitrary far order”, Soviet Physics Journal, 25:12 (1982), 1093
Yu. M. Ivanchenko, A. A. Lisyanskii, “Coulomb correlations in disordered alloys”, Phys. Stat. Sol. (a), 67:1 (1981), 141
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