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Magnetic Susceptibility of a Diluted Ising Magnet

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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.

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References

  1. E. Z. Meilikhov and R. M. Farzetdinova, “Effective field theory for disordered magnetic alloys,” Phys. Solid State, 56, 707–714 (2014).

    Article  ADS  Google Scholar 

  2. E. Z. Meilikhov and R. M. Farzetdinova, “Generalized mean-field theory for lattice magnetic systems and ferromagnetism of semiconductors with magnetic impurities,” Phys. Solid State, 47, 1122–1128 (2005).

    Article  ADS  Google Scholar 

  3. S. V. Semkin and V. P. Smagin, “The Potts model on a Bethe lattice with nonmagnetic impurities,” JETP, 121, 636–639 (2015).

    Article  ADS  Google Scholar 

  4. R. J. Baxter, Exactly Solved Models in Statistical Mechanics, Acad. Press, London (1982).

    MATH  Google Scholar 

  5. S. V. Semkin and V. P. Smagin, “Diluted Ising magnet on the Bethe lattice,” Russ. Phys. J., 58, 1848–1858 (2016).

    Article  Google Scholar 

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Authors and Affiliations

  1. Vladivostok State University of Economics and Service, Vladivostok, Russia

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

Authors
  1. S. V. Semkin
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  2. V. P. Smagin
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  3. E. G. Gusev
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Corresponding author

Correspondence to S. V. Semkin.

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Conflicts of interest. The authors declare no conflicts of interest.

Additional information

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).

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 201, No. 2, pp. 280–290, November, 2019.

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Semkin, S.V., Smagin, V.P. & Gusev, E.G. Magnetic Susceptibility of a Diluted Ising Magnet. Theor Math Phys 201, 1655–1663 (2019). https://doi.org/10.1134/S0040577919110096

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  • DOI: https://doi.org/10.1134/S0040577919110096

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