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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 202, Number 2, Pages 304–311
DOI: https://doi.org/10.4213/tmf9751 (Mi tmf9751) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Ising model with nonmagnetic dilution on recursive lattices

S. V. Semkin, V. P. Smagin, E. G. Gusev

Vladivostok State University of Economics and Service, Vladivistok, Russia
Full-text PDF (332 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf9751
Abstract: Using a method for composing self-consistent equations, we construct a class of approximate solutions of the Ising problem that are a generalization of the Bethe approximation. We show that some of the approximations in this class can be interpreted as exact solutions of the Ising model on recursive lattices. For these recursive lattices, we find exact values of the thresholds of percolation through sites and couplings and show that for the Ising model of a diluted magnet, our method leads to exact values for these thresholds.
Keywords: Ising model, crystal lattice, magnet with nonmagnetic dilution, recursive lattice.
Received: 22.05.2019
Revised: 10.07.2019
English version:
Theoretical and Mathematical Physics, 2020, Volume 202, Issue 2, Pages 265–271
DOI: https://doi.org/10.1134/S0040577920020099
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Semkin, V. P. Smagin, E. G. Gusev, “Ising model with nonmagnetic dilution on recursive lattices”, TMF, 202:2 (2020), 304–311; Theoret. and Math. Phys., 202:2 (2020), 265–271
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf9751
  • https://www.mathnet.ru/eng/tmf/v202/i2/p304
    • This publication is cited in the following 2 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
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    References:29
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