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- W1964083090 abstract "We investigate the nature of the critical behavior 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. We perform 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 behavior and finite-size scaling. They provide evidence of a finite-temperature continuous transition with critical exponents $eta_o=-0.24(4)$ and $nu_o=2.4(6)$. 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. We also determine the leading correction-to-scaling exponent finding $omega = 1.0(4)$." @default.
- W1964083090 created "2016-06-24" @default.
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- W1964083090 date "2006-06-05" @default.
- W1964083090 modified "2023-10-17" @default.
- W1964083090 title "Critical behaviour of the random-anisotropy model in the strong-anisotropy limit" @default.
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- W1964083090 doi "https://doi.org/10.1088/1742-5468/2006/06/p06002" @default.
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