The anisotropy induced by defects of "random local field" type in O(n) models and suppression of the Imry-Ma inhomogeneous state

Abstract

We demonstrate that in the system with anisotropic distribution of the defect-induced random local field directions in the n-dimensional space of vector order parameter with the O(n) symmetry, the defect-induced 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 the state with the long-range order.

9 pages

Cited by in corpus (4)

• A Mechanism of Long-Range Order Induced by Random Local Fields: Effective Anisotropy Created by Defects
• Long-range order induced by random fields in two-dimensional O(n) models, and the Imry-Ma state
• Imry-Ma disordered state induced by defects of "random local anisotropy" type in the system with O(n) symmetry
• Phase diagram for the O(n) model with defects of "random local field" type and verity of the Imry-Ma theorem