Finite-size scaling analysis of the distributions of pseudo-critical temperatures in spin glasses

A. Billoire; A. Maiorano; D. Yllanes; E. Marinari; L. A. Fernandez; V. Martin-Mayor

Finite-size scaling analysis of the distributions of pseudo-critical temperatures in spin glasses

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arxiv 1108.1336 v2 pith:4XV3O5DO submitted 2011-08-05 cond-mat.dis-nn

Finite-size scaling analysis of the distributions of pseudo-critical temperatures in spin glasses

A. Billoire , L. A. Fernandez , A. Maiorano , E. Marinari , V. Martin-Mayor , D. Yllanes This is my paper

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keywords finite-sizescalingspinanalysisbehaviorconnectedcriticaldata

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Using the results of large scale numerical simulations we study the probability distribution of the pseudo critical temperature for the three-dimensional Edwards-Anderson Ising spin glass and for the fully connected Sherrington-Kirkpatrick model. We find that the behavior of our data is nicely described by straightforward finite-size scaling relations.

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Low energy excitations in a long prism geometry: testing the lower critical dimension of the Ising spin glass
cond-mat.dis-nn 2026-01 conditional novelty 7.0

A long-prism simulation of the 3D Ising spin glass yields lower critical dimension D_lc = 2.49(3), favoring mean-field 5/2 over the droplet-model value ≈2.61.