Two-dimensional O(n) Models with Defects of "Random Local Anisotropy" Type
Abstract
The phase diagram of two-dimensional systems with continuous symmetry of the vector order parameter containing defects of the "random local anisotropy" type is investigated. In the case of a weakly anisotropic distribution of the easy anisotropy axes in the space of the order parameter, with decreasing temperature, a smooth transition takes place from the paramagnetic phase with dynamic fluctuations of the order parameter to the Imri-Ma phase with its static fluctuations. In the case when the anisotropic distribution of the easy axes induces a global anisotropy of the "easy axis" type that exceeds a critical value, the system goes into the Ising class of universality, and a phase transition to the ordered state occurs in it at a finite temperature.
Keywords
Cite
@article{arxiv.1912.10444,
title = {Two-dimensional O(n) Models with Defects of "Random Local Anisotropy" Type},
author = {A. A. Berzin and A. I. Morosov and A. S. Sigov},
journal= {arXiv preprint arXiv:1912.10444},
year = {2020}
}
Comments
13 pages, 3 figures