Ground State Structure of Spin Glasses

Details Ground State Structure of Spin Glasses Ground State Structure of Spin Glasses

1999-10-18

arxiv.org/abs/cond-mat/9910278v1

J. Phys. Soc. Jpn. 69, 165 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 3 postscript figures. Proceedings of the Conference "Frontiers in Magnetism", Kyoto, October 4-7, 1999; to be publish

Scientific paper

We investigate the ground state structure of Ising spin glasses in zero magnetic 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, both in two and three dimensions, 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.

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