Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 131, Number 3, Pages 456–478
DOI: https://doi.org/10.4213/tmf340
(Mi tmf340)
 

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
References:
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
English version:
Theoretical and Mathematical Physics, 2002, Volume 131, Issue 3, Pages 832–851
DOI: https://doi.org/10.1023/A:1015931708479
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
\Bibitem{RepSha02}
\by S.~P.~Repetsky, T.~D.~Shatnii
\paper Thermodynamic Potential of a~System of Electrons and Phonons in a~Disordered Alloy
\jour TMF
\yr 2002
\vol 131
\issue 3
\pages 456--478
\mathnet{http://mi.mathnet.ru/tmf340}
\crossref{https://doi.org/10.4213/tmf340}
\zmath{https://zbmath.org/?q=an:1031.82500}
\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 131
\issue 3
\pages 832--851
\crossref{https://doi.org/10.1023/A:1015931708479}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000176741900007}
Linking options:
  • https://www.mathnet.ru/eng/tmf340
  • https://doi.org/10.4213/tmf340
  • https://www.mathnet.ru/eng/tmf/v131/i3/p456
  • This publication is cited in the following 46 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:478
    Full-text PDF :215
    References:68
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024