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Study of the ultrametric structure of Finite Dimensional Spin Glasses throught a constrained Monte Carlo dynamics

Angelo Cacciuto
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Abstract

We report a very detailed relation about the study, by a constrained Monte Carlo dynamic, of a 4D EA spin glass model (J=+/- 1). In particular we concentrate our attention on the behaviour of the system under different bounds imposed in order to optimize the dynamic and try to understand the low energy states structure. We find that in the thermodynamic limit this structure is clearly ultrametric as already established for the SK model.

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Angelo Cacciuto. 1997-04-07. Study of the ultrametric structure of Finite Dimensional Spin Glasses throught a constrained Monte Carlo dynamics. https://arxiv.org/abs/cond-mat/9704053

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