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Bimodal Ising spin glass in two dimensions: the anomalous dimension η
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2018 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 97, no 2, article id 024203Article in journal (Refereed) Published
Abstract [en]

Direct measurements of the spin glass correlation function G(R) for Gaussian and bimodal Ising spin glasses in dimension two have been carried out in the temperature region T ∼ 1. In the Gaussian case the data are consistent with the known anomalous dimension value η ≡ 0. For the bimodal spin glass in this temperature region T > T*(L), well above the crossover T*(L) to the ground-state-dominated regime, the effective exponent η is clearly nonzero and the data are consistent with the estimate η ∼ 0.28(4) given by McMillan in 1983 from similar measurements. Measurements of the temperature dependence of the Binder cumulant U4(T, L) and the normalized correlation length ξ(T, L)/L for the two models confirms the conclusion that the two-dimensional (2D) bimodal model has a nonzero effective η both below and above T*(L). The 2D bimodal and Gaussian interaction distribution Ising spin glasses are not in the same universality class.

Place, publisher, year, edition, pages
American Physical Society, 2018. Vol. 97, no 2, article id 024203
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URN: urn:nbn:se:umu:diva-144836DOI: 10.1103/PhysRevB.97.024203ISI: 000423340800006OAI: oai:DiVA.org:umu-144836DiVA, id: diva2:1186380
Available from: 2018-02-28 Created: 2018-02-28 Last updated: 2018-06-09Bibliographically approved

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Lundow, Per-Håkan

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