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.

Universal critical behavior of the two-dimensional Ising spin glass / Fernandez, L. A.; Marinari, Vincenzo; Martin Mayor, V.; Parisi, Giorgio; Ruiz Lorenzo, J. J.. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - STAMPA. - 94:2(2016). [10.1103/PhysRevB.94.024402]

Universal critical behavior of the two-dimensional Ising spin glass

MARINARI, Vincenzo;PARISI, Giorgio;
2016

Abstract

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.
2016
Condensed Matter Physics; Electronic, Optical and Magnetic Materials
01 Pubblicazione su rivista::01a Articolo in rivista
Universal critical behavior of the two-dimensional Ising spin glass / Fernandez, L. A.; Marinari, Vincenzo; Martin Mayor, V.; Parisi, Giorgio; Ruiz Lorenzo, J. J.. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - STAMPA. - 94:2(2016). [10.1103/PhysRevB.94.024402]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/884454
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