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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 183, Number 3, Pages 486–497
DOI: https://doi.org/10.4213/tmf8789 (Mi tmf8789) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Magnetic phase transitions in spin-fluctuation theory

N. B. Melnikov, G. V. Paradezhenko

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (534 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf8789
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
Received: 08.09.2014
Revised: 02.01.2015
English version:
Theoretical and Mathematical Physics, 2015, Volume 183, Issue 3, Pages 868–877
DOI: https://doi.org/10.1007/s11232-015-0303-1
Bibliographic databases:
Document Type: Article
Language: Russian
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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  • https://doi.org/10.4213/tmf8789
  • https://www.mathnet.ru/eng/tmf/v183/i3/p486
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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