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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 201, Number 2, Pages 280–290
DOI: https://doi.org/10.4213/tmf9608 (Mi tmf9608) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Magnetic susceptibility of a diluted Ising magnet

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

Vladivostok State University of Economics and Service, Vladivistok, Russia
Full-text PDF (331 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf9608
Abstract: For the Ising model with nonmagnetic dilution, we consider a method for constructing the “pseudochaotic” impurity distribution based on the condition that the position correlation of movable impurity atoms in neighboring sites vanishes. For the one-dimensional Ising model with nonmagnetic dilution, we find the exact solution and show that the pseudochaotic approximation method gives the exact value of the magnetic susceptibility for this model in a zero external field. We assume that the pseudochaotic impurity distribution is completely uncorrelated in the region of zero magnetization for any lattice. This assumption is based on calculating the correlation functions for the Ising model with nonmagnetic dilution on the Bethe lattice. We find the magnetic susceptibility for that model.
Keywords: Ising model, diluted magnet, Bethe lattice, magnetic susceptibility.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 3.7009.2017/БЧ
This research was supported by the Ministry of Education and Science of the Russia Federation (Project No. 3.7009.2007 of the basic part of the State Mission for State Projects in science).
Received: 01.08.2018
Revised: 11.04.2019
English version:
Theoretical and Mathematical Physics, 2019, Volume 201, Issue 2, Pages 1655–1663
DOI: https://doi.org/10.1134/S0040577919110096
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Semkin, V. P. Smagin, E. G. Gusev, “Magnetic susceptibility of a diluted Ising magnet”, TMF, 201:2 (2019), 280–290; Theoret. and Math. Phys., 201:2 (2019), 1655–1663
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:26
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