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A mechanism of long-range order induced by random fields: Effective anisotropy created by defects

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Abstract

A microscopic mechanism of the long-range order in two-dimensional space induced by random local fields of crystal defects has been found. The impurity-induced effective anisotropy has been shown to arise in the system due to anisotropic distribution of impurity-induced random local field directions in the n-dimensional space of vector order parameter with the O(n) symmetry. The expression for the effective anisotropy constant has been obtained. A weak anisotropy of the “easy axis” type transforms the X–Y model and the Heisenberg model to the class of Ising models, and brings into long-range order existence in the system.

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Authors and Affiliations

  1. Moscow Technological University (MIREA), Vernadsky pr. 78, Moscow, 119454, Russia

    A. A. Berzin & A. S. Sigov

  2. Moscow Institute of Physics and Technology (State University), Institutskiy per. 9, Dolgoprudny, Moscow oblast, 141700, Russia

    A. I. Morosov

Authors
  1. A. A. Berzin
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  2. A. I. Morosov
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  3. A. S. Sigov
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Corresponding author

Correspondence to A. I. Morosov.

Additional information

Original Russian Text © A.A. Berzin, A.I. Morosov, A.S. Sigov, 2016, published in Fizika Tverdogo Tela, 2016, Vol. 58, No. 9, pp. 1783–1785.

The article was translated by the authors.

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Berzin, A.A., Morosov, A.I. & Sigov, A.S. A mechanism of long-range order induced by random fields: Effective anisotropy created by defects. Phys. Solid State 58, 1846–1849 (2016). https://doi.org/10.1134/S1063783416090109

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  • DOI: https://doi.org/10.1134/S1063783416090109

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