Phase Transition in the Random Anisotropy Model
无序系统与神经网络
2016-11-23 v1 软凝聚态物质
摘要
The influence of a local anisotropy of random orientation on a ferromagnetic phase transition is studied for two cases of anisotropy axis distribution. To this end a model of a random anisotropy magnet is analyzed by means of the field theoretical renormalization group approach in two loop approximation refined by a resummation of the asymptotic series. The one-loop result of Aharony indicating the absence of a second-order phase transition for an isotropic distribution of random anisotropy axis at space dimension is corroborated. For a cubic distribution the accessible stable fixed point leads to disordered Ising-like critical exponents.
引用
@article{arxiv.cond-mat/0106334,
title = {Phase Transition in the Random Anisotropy Model},
author = {M. Dudka and R. Folk and Yu. Holovatch},
journal= {arXiv preprint arXiv:cond-mat/0106334},
year = {2016}
}
备注
10 pages, 2 latex figures and a style file included