Phase Transition in the Random Anisotropy Model

Details Phase Transition in the Random Anisotropy Model Phase Transition in the Random Anisotropy Model

2001-06-18

arxiv.org/abs/cond-mat/0106334v1

Fluctuating Paths and Fields, Eds. W. Janke, A. Pelster, H.-J. Schmidt, and M. Bachmann, (World Scientific, Singapore, 2001) p

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 2 latex figures and a style file included

Scientific paper

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 $d<4$ is corroborated. For a cubic distribution the accessible stable fixed point leads to disordered Ising-like critical exponents.

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