Correlation length of the two-dimensional Ising spin glass with bimodal interactions

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We study the correlation length of the two-dimensional Edwards-Anderson Ising spin glass with bimodal interactions using a combination of parallel tempering Monte Carlo and a rejection-free cluster algorithm in order to speed up equilibration. Our results show that the correlation length grows ~ exp(2J/T) suggesting through hyperscaling that the degenerate ground state is separated from the first excited state by an energy gap ~4J, as would naively be expected.
5 pages, 4 figures, 2 tables

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Disordered Systems and Neural Networks, Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/97379

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0411305
 http://arxiv.org/abs/cond-mat/0411305
 Phys. Rev. B 71, 134404 (2005)
 doi:10.1103/PhysRevB.71.134404

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arXiv