Comment on "Ultrametricity in the Edwards-Anderson Model"

Abstract : In a recent interesting Letter Contucci {\it et al.} have investigated several properties of the three-dimensional (3d) Edwards-Anderson (EA) Ising spin glass. They claim to have found strong numerical evidence for the presence of a complex ultrametric structure similar to the one described by the replica symmetry breaking solution of the mean field model. We illustrate by numerical simulations that the relations used by Contucci {\it et al.} as evidence for an ultrametric structure in the 3d EA model are fulfilled to similar accuracy in the two-dimensional EA model, which is well-described by the droplet picture and has no spin glass phase at finite temperature. We conclude that the data presented in the Contucci {\it et al.} Letter is not sufficient to dismiss the possibility that, e.g., the droplet model might describe the behavior of the 3d EA model.
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Contributor : Claudine Le Vaou <>
Submitted on : Friday, June 6, 2008 - 4:31:24 PM
Last modification on : Thursday, January 11, 2018 - 6:14:29 AM

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  • HAL Id : hal-00285955, version 1
  • ARXIV : 0709.0894

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Thomas Jorg, Florent Krzakala. Comment on "Ultrametricity in the Edwards-Anderson Model". Physical Review Letters, American Physical Society, 2008, 100, pp.159701. ⟨hal-00285955⟩

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