Evidence for existence of many pure ground states in 3d J Spin Glasses
Abstract
Ground states of 3d EA Ising spin glasses are calculated for sizes up to 143 using a combination of genetic algorithms and cluster-exact approximation . The distribution P(|q|) of overlaps is calculated. For increasing size the width of P(|q|) converges to a nonzero value, indicating that many pure ground states exist for short range Ising spin glasses.
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