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 Imry–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.

中文翻译：

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具有“随机局部各向异性”类型缺陷的二维O（n）模型

摘要

研究了包含“随机局部各向异性”类型缺陷的矢量阶数参数连续对称的二维系统的相图。在阶数参数空间中易各向异性轴的弱各向异性分布的情况下，随着温度的降低，会从具有阶数参数动态波动的顺磁相到具有静数的Imry-Ma相平稳过渡。波动。在易轴的各向异性分布导致“易轴”类型的全局各向异性超过临界值的情况下，系统进入通用的Ising类，并且在该状态下发生向有序状态的相变有限的温度