Anisotropy induced by impurities of “random local field” type in O(n) models and suppression of the Imry–Ma inhomogeneous state


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Abstract

It is shown that in a system with anisotropic distribution of the impurity-induced random local field directions in the n-dimensional space of a vector order parameter with the O(n) symmetry, the impurityinduced effective anisotropy arises for the space dimensionality 2 < d < 4. If the anisotropy constant exceeds the threshold value, then an inhomogeneous state predicted by Imry and Ma becomes energetically unfavorable, and the system goes back to a state with the long-range order.

About the authors

A. A. Berzin

Moscow Technological University (MIREA)

Email: mor-alexandr@yandex.ru
Russian Federation, Vernadsky pr. 78, Moscow, 119454

A. I. Morosov

Moscow Institute of Physics and Technology (State University)

Author for correspondence.
Email: mor-alexandr@yandex.ru
Russian Federation, Institutskiy per. 9, Dolgoprudnyi, Moscow oblast, 141700

A. S. Sigov

Moscow Technological University (MIREA)

Email: mor-alexandr@yandex.ru
Russian Federation, Vernadsky pr. 78, Moscow, 119454

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