2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/97379We 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 tablesDisordered Systems and Neural NetworksStatistical Mechanicstext