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TMF, 2015, Volume 183, Number 3, Pages 486–497 (Mi tmf8789)  

This article is cited in 1 scientific paper (total in 1 paper)

Magnetic phase transitions in spin-fluctuation theory

N. B. Melnikov, G. V. Paradezhenko

Lomonosov Moscow State University, Moscow, Russia

Abstract: A first-order phase transition is a characteristic feature of the Gaussian approximation in spin-fluctuation theory. We propose a method for taking the fourth-order terms of the free energy expansion into account using partial averaging. In the example of the Ising model, we show that renormalization of the magnetic susceptibility leads to a second-order phase transition, which is experimentally observed in metals. We use the parameter substitution method to compute the temperature dependence at high temperatures.

Keywords: functional integral method, Stratonovich–Hubbard transformation, partial averaging, renormalization

Funding Agency Grant Number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 12-П-2-1041
Ministry of Education and Science of the Russian Federation 1.1016.2011


DOI: https://doi.org/10.4213/tmf8789

Full text: PDF file (534 kB)
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English version:
Theoretical and Mathematical Physics, 2015, 183:3, 868–877

Bibliographic databases:

Received: 08.09.2014
Revised: 02.01.2015

Citation: N. B. Melnikov, G. V. Paradezhenko, “Magnetic phase transitions in spin-fluctuation theory”, TMF, 183:3 (2015), 486–497; Theoret. and Math. Phys., 183:3 (2015), 868–877

Citation in format AMSBIB
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  • http://mi.mathnet.ru/eng/tmf8789
  • https://doi.org/10.4213/tmf8789
  • http://mi.mathnet.ru/eng/tmf/v183/i3/p486

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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. Melnikov N.B., Reser B.I., “Magnetism of metals in the dynamic spin-fluctuation theory”, Phys. Metals Metallogr., 117:13 (2016), 1328–1383  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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