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The Critical Behavior of Disordered Systems with Dipole–Dipole Interactions

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Abstract

Within the field-theory approach, the critical behavior of disordered spin systems with frozen point impurities and additional dipole–dipole interactions is investigated. The system is described by the Heisenberg model. The computation is performed in a two-loop approximation in three-dimensional space. The Pade–Borel method is used to sum asymptotic series. It is shown that a threshold value of the dipole–dipole interaction intensity exists such that the influence of point frozen impurities becomes important once the value exceeds this threshold. For small values of the dipole–dipole interaction intensity, the dependence of critical exponents on it is obtained.

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 20-07-00053.

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Authors and Affiliations

  1. Omsk State Technical University, 644050, Omsk, Russia

    S. V. Belim

  2. Siberian State Automobile and Highway University, 644080, Omsk, Russia

    S. V. Belim

Authors
  1. S. V. Belim
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Correspondence to S. V. Belim.

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Translated by A. Muravnik

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Belim, S.V. The Critical Behavior of Disordered Systems with Dipole–Dipole Interactions. Moscow Univ. Phys. 75, 304–308 (2020). https://doi.org/10.3103/S0027134920040049

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  • DOI: https://doi.org/10.3103/S0027134920040049

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