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Numerical results for the Edwards-Anderson spin-glass model at low temperatur

AuthorsFernández, Julio F.; Alonso, Juan J.
Issue Date2013
PublisherAmerican Physical Society
CitationPhysical Review B 87: 134205 (2013)
AbstractWe have simulated Edwards-Anderson (EA) as well as Sherrington-Kirkpatrick systems of L3 spins. After averaging over large sets of EA system samples of 3<= L<=10, we obtain accurate numbers for distributions p(q) of the overlap parameter q at very low-temperature T. We find p(0)/T → 0.233(4) as T → 0. This is in contrast with the droplet scenario of spin glasses. We also study the number of mismatched links—between replica pairs—that come with large scale excitations. Contributions from small scale excitations are discarded. We thus obtain for the fractal dimension of outer surfaces of q ∼ 0 excitations in the EA model ds → 2.59(3) as T → 0. This is in contrast with ds → 3 as T → 0 that is predicted by mean-field theory for themacroscopic limit.
DescriptionUnder the terms of the Creative Commons Attribution License 3.0 (CC-BY).
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevB.87.134205
Identifiersdoi: 10.1103/PhysRevB.87.134205
issn: 1098-0121
e-issn: 1550-235X
Appears in Collections:(ICMA) Artículos
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