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This article is cited in 46 scientific papers (total in 46 papers)
Thermodynamic Potential of a System of Electrons and Phonons in a Disordered Alloy
S. P. Repetsky, T. D. Shatnii National Taras Shevchenko University of Kyiv
Abstract:
We obtain a cluster expansion for the two-time retarded Green's functions and the thermodynamic potential of a disordered crystal taking the electron–phonon and electron–electron interactions into account. The electron states of the system are described in the framework of a multiband tight-binding model. The calculations are based on the diagram techniques for the temperature Green's functions. The coherent potential approximation is chosen as a zeroth-order one-site approximation in this cluster expansion method. We show that the contributions from the processes of scattering of elementary excitations on clusters decrease as the number of sites in the cluster increases in accordance with certain small parameters. Analytic estimates of the influence of the electron–phonon interaction on the energy spectrum of electrons of an alloy being ordered are obtained in a one-band model. The applicability of these results to describing the influence of strong electron correlations on the electron structure and properties of alloys of transition metals with narrow energy bands is illustrated with the example of the Fe–Ti alloy.
Received: 30.07.2001 Revised: 03.01.2002
Citation:
S. P. Repetsky, T. D. Shatnii, “Thermodynamic Potential of a System of Electrons and Phonons in a Disordered Alloy”, TMF, 131:3 (2002), 456–478; Theoret. and Math. Phys., 131:3 (2002), 832–851
Linking options:
https://www.mathnet.ru/eng/tmf340https://doi.org/10.4213/tmf340 https://www.mathnet.ru/eng/tmf/v131/i3/p456
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