Phys. Rev. B 71, 134404 (2005) [4 pages]Correlation length of the two-dimensional Ising spin glass with bimodal interactionsReceived 11 November 2004; revised 19 January 2005; published 8 April 2005 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 updates 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.71.134404
DOI:
10.1103/PhysRevB.71.134404
PACS:
75.50.Lk, 75.40.Mg, 05.50.+q
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