The random-anisotropy model in the strong-anisotropy limit

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dc.creatorToldin, Francesco Parisen
dc.creatorPelissetto, Andrea
dc.creatorVicari, Ettore
dc.date2006-06-28
dc.date.accessioned2026-07-07T07:12:55Z
dc.date.available2026-07-07T07:12:55Z
dc.descriptionWe investigate the nature of the critical behaviour of the random-anisotropy Heisenberg model (RAM), which describes a magnetic system with random uniaxial single-site anisotropy, such as some amorphous alloys of rare earths and transition metals. In particular, we consider the strong-anisotropy limit (SRAM), in which the Hamiltonian can be rewritten as the one of an Ising spin-glass model with correlated bond disorder: H = - J \sum_{< xy >} j_{xy} σ_x σ_y, where j_{xy} = \vec{u}_x \cdot \vec{u}_y and \vec{u}_x is a random three-component unit vector. We performed Monte Carlo simulations of the SRAM on simple cubic L^3 lattices, up to L=30, measuring correlation functions of the replica-replica overlap, which is the order parameter at a glass transition. The corresponding results show critical behaviour and finite-size scaling. They provide evidence of a finite-temperature continuous transition with critical exponents η_o=-0.24(4) and ν_o=2.4(6). These results are close to the corresponding estimates that have been obtained in the usual Ising spin-glass model with uncorrelated bond disorder, suggesting that the two models belong to the same universality class. This is consistent with arguments that suggest that the disorder correlations present in the SRAM are irrelevant.
dc.description6 pages, 4 figures. Submitted to JPCM. Proceedings of HFM2006, August 15-19, Osaka, Japan
dc.identifierhttps://arxiv.org/abs/cond-mat/0606728
dc.identifierhttp://arxiv.org/abs/cond-mat/0606728
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112248
dc.subjectDisordered Systems and Neural Networks
dc.titleThe random-anisotropy model in the strong-anisotropy limit
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