Triviality of the Ground State Structure in Ising Spin Glasses

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.

4 pages, 3 figures, replaced by published version

References in corpus (3)

• Universal Finite Size Scaling Functions in the 3D Ising Spin Glass
• Numerical investigation of the thermodynamic limit for ground states in models with quenched disorder
• Trivial Ground State Structure in the Two-Dimensional Ising Spin Glass

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