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Phase Transition in the Random Anisotropy Model | | M. Dudka
; R. Folk
; Yu. Holovatch
; | | Date: |
18 Jun 2001 | | Journal: | Fluctuating Paths and Fields, Eds. W. Janke, A. Pelster, H.-J. Schmidt, and M. Bachmann, (World Scientific, Singapore, 2001) p. 457-467 | | Subject: | Disordered Systems and Neural Networks; Soft Condensed Matter | cond-mat.dis-nn cond-mat.soft | | Abstract: | 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. | | Source: | arXiv, cond-mat/0106334 | | Services: | Forum | Review | PDF | Favorites | |
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