학술논문

Correlation length of the two-dimensional Ising spin glass with bimodal interactions
Document Type
Working Paper
Source
Phys. Rev. B 71, 134404 (2005)
Subject
Condensed Matter - Disordered Systems and Neural Networks
Condensed Matter - Statistical Mechanics
Language
Abstract
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.
Comment: 5 pages, 4 figures, 2 tables