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Field theory and anisotropy of a cubic ferromagnet near the Curie point

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Abstract

It is known that critical fluctuations can change the effective anisotropy of a cubic ferromagnet near the Curie point. If the crystal undergoes a phase transition into the orthorhombic phase and the initial anisotropy is not too strong, then the effective anisotropy acquires the universal value A* = v*/u* at T c, where u* and v* are the coordinates of the cubic fixed point of the renormalization group equations in the scaling equation of state and expressions for nonlinear susceptibilities. Using the pseudo-ϵ-expansion method, we find the numerical value of the anisotropy parameter A at the critical point. Padé resummation of the six-loop pseudo-ϵ-expansions for u*, v*, and A* leads to the estimate A* = 0.13 ± 0.01, giving evidence that observation of anisotropic critical behavior of cubic ferromagnets in physical and computer experiments is entirely possible.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Staryi Petergof, Russia

    A. Kudlis & A. I. Sokolov

  2. ITMO University, St. Petersburg, Russia

    A. Kudlis

Authors
  1. A. Kudlis
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  2. A. I. Sokolov
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Correspondence to A. Kudlis.

Additional information

The research of A. Kudlis was supported by a grant from the Russian Science Foundation (Project No. 16-11-10218).

The research of A. I. Sokolov was supported by the Russian Foundation for Basic Research (Grant No. 15-02-04687).

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 190, No. 2, pp. 344–353, February, 2017.

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Kudlis, A., Sokolov, A.I. Field theory and anisotropy of a cubic ferromagnet near the Curie point. Theor Math Phys 190, 295–302 (2017). https://doi.org/10.1134/S0040577917020106

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