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

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

2004-11-11

arxiv.org/abs/cond-mat/0411305v2

Phys. Rev. B 71, 134404 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 4 figures, 2 tables

Scientific paper

10.1103/PhysRevB.71.134404

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.

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