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Using an efficient polynomial-time ground state algorithm we investigate theIsing spin glass state at zero temperature in two dimensions. For large sizes,we show that the spin state in a central region is independent of theinteractions far away, indicating a ``single-state" picture, presumably thedroplet model. Surprisingly, a single power law describes corrections to thisresult down to the smallest sizes studied.

Metastate analysis of the ground states of two-dimensional Ising spin glasses