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The random-anisotropy model in the strong-anisotropy limit | | Francesco Parisen Toldin
; Andrea Pelissetto
; Ettore Vicari
; | | Date: |
28 Jun 2006 | | Subject: | Disordered Systems and Neural Networks | | Abstract: | We 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} sigma_x sigma_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 eta_o=-0.24(4) and
u_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. | | Source: | arXiv, cond-mat/0606728 | | Services: | Forum | Review | PDF | Favorites | |
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