Abstract

The influence of defects of the “random local field” type with an anisotropic distribution of random fields on two-dimensional models with continuous symmetry of the vector order parameter is considered. In the case of weak anisotropy of random fields, with decreasing temperature there takes place a smooth transition from the paramagnetic phase with dynamic fluctuations of the order parameter to the Imry-Ma phase with static fluctuations caused by fluctuations of the random field of defects. In the case of strong anisotropy of random fields, defects lead to an effective decrease in the number of components of the order parameter and the appearance of a phase transition to an ordered state at finite temperature.

中文翻译：

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二维O（n）模型中随机场和Imry–Ma态引起的长程有序

摘要

考虑具有随机场各向异性分布的“随机局部场”类型缺陷对矢量阶参数连续对称的二维模型的影响。在随机场的各向异性较弱的情况下，随着温度的降低，会从具有顺次阶跃参数动态波动的顺磁相到由缺陷随机场波动引起的静态波动的Imry-Ma相平稳过渡。在随机场具有很强的各向异性的情况下，缺陷会导致阶数参数的分量有效减少，并且在有限温度下会出现相转变为有序态的现象。