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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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.
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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