How to evaluate ground-state landscapes of spin glasses thermodynamical correctly |
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Authors: | A.K. Hartmann |
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Affiliation: | Institut für theoretische Physik, Bunsenstr. 9, 37073, G?ttingen, Germany
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Abstract: | Ground states of three-dimensional Ising spin glasses are calculated for sizes up to 143 using a combination of a genetic algorithm and cluster-exact approximation. For each realization several independent ground states are obtained. Then, by applying ballistic search and T=0Monte-Carlo simulations, it is ensured that each ground state appears with the same probability. Consequently, the results represent the true T=0 thermodynamic behavior. The distribution P(|q|) of overlaps is evaluated. For increasing size the width of P(|q|) and the fraction of the distribution below converge to zero. This indicates that for the infinite system P(|q|) is a delta function, in contrast to previous results. Thus, the ground-state behavior is dominated by few large clusters of similar ground states. Received 17 June 1999 |
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Keywords: | PACS. 75.10.Nr Spin-glass and other random models - 75.40.Mg Numerical simulation studies - 02.10.Jf General mathematical systems |
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