Ground state stability in two spin glass models

L. -P. Arguin; C. M. Newman; D. L. Stein

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arXiv · 2001.06527

Ground state stability in two spin glass models

L. -P. Arguin·C. M. Newman·D. L. Stein

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Abstract

An important but little-studied property of spin glasses is the stability of their ground states to changes in one or a finite number of couplings. It was shown in earlier work that, if multiple ground states are assumed to exist, then fluctuations in their energy differences --- and therefore the possibility of multiple ground states --- are closely related to the stability of their ground states. Here we examine the stability of ground states in two models, one of which is presumed to have a ground state structure that is qualitatively similar to other realistic short-range spin glasses in finite dimensions.

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L. -P. Arguin, C. M. Newman, D. L. Stein. 2020-01-17. Ground state stability in two spin glass models. https://arxiv.org/abs/2001.06527

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