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Triviality of the Ground State Structure in Ising Spin Glasses

Matteo Palassini·A. P. Young
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Abstract

We investigate the ground state structure of the three-dimensional Ising spin glass in zero field by determining how the ground state changes in a fixed finite block far from the boundaries when the boundary conditions are changed. We find that the probability of a change in the block ground state configuration tends to zero as the system size tends to infinity. This indicates a trivial ground state structure, as predicted by the droplet theory. Similar results are also obtained in two dimensions.

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Matteo Palassini, A. P. Young. 1999-12-13. Triviality of the Ground State Structure in Ising Spin Glasses. https://doi.org/10.1103/physrevlett.83.5126

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