Inherent Structures in m-component Spin Glasses

Abstract

We observe numerically the properties of the infinite-temperature inherent structures of m-component vector spin glasses in three dimensions. An increase of m implies a decrease of the amount of minima of the free energy, down to the trivial presence of a unique minimum. For little m correlations are small and the dynamics are quickly arrested, while for larger m low-temperature correlations crop up and the convergence is slower, to a limit that appears to be related with the system size.

Version accepted in Phys. Rev. B, 10 pages, 11 figures

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• Low energy excitations of mean-field glasses
• Distribution of metastable states of Ising spin glasses
• Precursors of the Spin Glass Transition in Three Dimensions