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PHASE TRANSITION IN THE RANDOM ANISOTROPY MODEL

    https://doi.org/10.1142/9789812811240_0040Cited by:1 (Source: Crossref)
    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.