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Abstract
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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