Local Spin Glass Order in 1D

Abstract

We study the behavior of one dimensional Kac spin glasses as function of the interaction range. We verify by Montecarlo numerical simulations the crossover from local mean field behavior to global paramagnetism. We investigate the behavior of correlations and find that in the low temperature phase correlations grow at a faster rate then the interaction range. We completely characterize the growth of correlations in the vicinity of the mean-field critical region.

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Cited by in corpus (4)

• Diluted one-dimensional spin glasses with power law decaying interactions
• Overlap Interfaces in Hierarchical Spin-Glass models
• A simple one dimensional glassy Kac model
• Spin glass models with Kac interactions