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TMF, 2008, Volume 157, Number 2, Pages 273–285 (Mi tmf6279)  

This article is cited in 2 scientific papers (total in 2 papers)

Singularities of the thermodynamic potential under second-order phase transitions due to the interband electron–phonon interaction

A. E. Myasnikova, E. N. Myasnikov, Z. P. Mastropas

Southern Federal University

Abstract: We consider phase transitions in crystals with a strong interband electron–phonon interaction. We investigate the thermodynamic potential of the system using the method of temperature Green's functions, which takes quantum and thermal fluctuations into account. We show that in the absence of striction, these phase transitions are realized as a sequence of second-order phase transitions in each of which the thermodynamic potential has a logarithmic singularity, as in the Onsager model. This suggests that this singularity is characteristic of all second-order phase transitions. We show that the energy preference of the transition to the ordered phase is ensured by the electron coupling to coherent displacements of ions along normal coordinates of the phonon modes. We calculate the limit value of the energy decrease in the ordered phase compared with the symmetric phase as $T\to0$ K.

Keywords: thermodynamic potential, structure rearrangement, electron–phonon coupling, vibration mode

DOI: https://doi.org/10.4213/tmf6279

Full text: PDF file (382 kB)
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English version:
Theoretical and Mathematical Physics, 2008, 157:2, 1595–1605

Bibliographic databases:

Received: 03.01.2008

Citation: A. E. Myasnikova, E. N. Myasnikov, Z. P. Mastropas, “Singularities of the thermodynamic potential under second-order phase transitions due to the interband electron–phonon interaction”, TMF, 157:2 (2008), 273–285; Theoret. and Math. Phys., 157:2 (2008), 1595–1605

Citation in format AMSBIB
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\by A.~E.~Myasnikova, E.~N.~Myasnikov, Z.~P.~Mastropas
\paper Singularities of the~thermodynamic potential under second-order
phase transitions due to the~interband electron--phonon interaction
\jour TMF
\yr 2008
\vol 157
\issue 2
\pages 273--285
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\crossref{https://doi.org/10.4213/tmf6279}
\zmath{https://zbmath.org/?q=an:1157.82398}
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\transl
\jour Theoret. and Math. Phys.
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\vol 157
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\pages 1595--1605
\crossref{https://doi.org/10.1007/s11232-008-0132-6}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-58149299818}


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  • http://mi.mathnet.ru/eng/tmf/v157/i2/p273

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Myasnikov E.N., Mastropas Z.P., “On the second-order phase transition initiated by a strong electron-phonon interaction”, Physics of the Solid State, 52:3 (2010), 599–604  crossref  adsnasa  isi  scopus  scopus
    2. Mastropas Z.P., Myasnikov E.N., “Permittivity of Complex Oxide Crystals with Allowance for Spatial Dispersion”, J. Exp. Theor. Phys., 116:2 (2013), 229–235  crossref  adsnasa  isi  scopus  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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