Large numbers of ground states of three-dimensional (3D) Edwards-Anderson Ising spin glasses are calculated for sizes up to 10³ using a combination of a genetic algorithm and cluster-exact approximation. A detailed analysis shows that true ground states are obtained. The ground-state stiffness (or domain wall) energy {Δ} is calculated. A |Δ|~L^ΘS behavior with ΘS=0.19(2) is found that strongly indicates that the 3D model has an equilibrium spin-glass-paramagnet transition for nonzero Tc.
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Alexander K. Hartmann (1999) studied this question.
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