Triviality of the Ground State Structure in Ising Spin Glasses

Details Triviality of the Ground State Structure in Ising Spin Glasses Triviality of the Ground State Structure in Ising Spin Glasses

1999-06-21

arxiv.org/abs/cond-mat/9906323v2

Phys.Rev.Lett. 83 (1999) 5126-5129

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 figures, replaced by published version

Scientific paper

10.1103/PhysRevLett.83.5126

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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