Universal critical behavior of the two-dimensional Ising spin glass



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Fernández Pérez, Luis Antonio and Marinari, E. and Martín Mayor, Víctor and Parisi, G. and Ruiz Lorenzo, J. J. (2016) Universal critical behavior of the two-dimensional Ising spin glass. Physical review B, 94 (2). 024402_1-024402_10. ISSN 1098-0121

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Official URL: http://dx.doi.org/10.1103/PhysRevB.94.024402


We use finite size scaling to study Ising spin glasses in two spatial dimensions. The issue of universality is addressed by comparing discrete and continuous probability distributions for the quenched random couplings. The sophisticated temperature dependency of the scaling fields is identified as the major obstacle that has impeded a complete analysis. Once temperature is relinquished in favor of the correlation length as the basic variable, we obtain a reliable estimation of the anomalous dimension and of the thermal critical exponent. Universality among binary and Gaussian couplings is confirmed to a high numerical accuracy.

Item Type:Article
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©2016 American Physical Society.
This work was partially supported by the Ministerio de Economía y Competitividad (MINECO, Spain) through Grants No. FIS2012-35719-C02 and No. FIS2013-42840-P, and by the Junta de Extremadura (Spain), with partial contribution by the European Union (FEDER) through Grant No. GRU10158.

Uncontrolled Keywords:Monte-Carlo simulations; Ground-state; Model; Algorithm; Dimensions
Subjects:Sciences > Physics
ID Code:38910
Deposited On:26 Aug 2016 07:49
Last Modified:26 Aug 2016 08:52

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