A mechanism of long-range order induced by random fields: Effective anisotropy created by defects |
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Authors: | A A Berzin A I Morosov A S Sigov |
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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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