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

A. K. Hartmann; A. P. Young

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arXiv · 2303.16192

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

A. K. Hartmann·A. P. Young

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Abstract

Using an efficient polynomial-time ground state algorithm we investigate the Ising 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 the interactions far away, indicating a ``single-state" picture, presumably the droplet model. Surprisingly, a single power law describes corrections to this result down to the smallest sizes studied.

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A. K. Hartmann, A. P. Young. 2023-03-28. Metastate analysis of the ground states of two-dimensional Ising spin glasses. https://arxiv.org/abs/2303.16192

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