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Paper detail

Ground state stability in two spin glass models

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.

preprint2020arXivOpen access
L. -P. ArguinC. M. NewmanD. L. Stein
math-phmath.PRmath.MPcond-mat.dis-nn
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L. -P. ArguinC. M. NewmanD. L. Stein

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