UNIVERSALITY IN THE 2D QUASI-PERIODIC ISING MODEL AND HARRIS-LUCK IRRELEVANCE

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dc.contributor.areamathematicsen_US
dc.contributor.authorGallone, Matteo
dc.contributor.authorMastropietro, Vieri
dc.date.accessioned2023-04-11T13:13:59Z
dc.date.available2023-04-11T13:13:59Z
dc.date.issued2023-04-04
dc.descriptionSISSA 3/2023/MATEen_US
dc.description.abstractWe prove that in the 2d Ising Model with a weak bidimensional quasi-periodic disorder in the interaction, the critical behavior is the same as in the non-disordered case, that is the critical exponents are identical and no logarithmic corrections are present. The result establishes the validity of the prediction based on the Harris-Luck criterion and it provides the first rigorous proof of universality in the Ising model in presence of quasi-periodic disorder. The proof combines Renormalization Group approaches with direct methods used to deal with small divisors in KAM theory.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35456
dc.language.isoenen_US
dc.titleUNIVERSALITY IN THE 2D QUASI-PERIODIC ISING MODEL AND HARRIS-LUCK IRRELEVANCEen_US
dc.typePreprinten_US
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