Universality in p-spin glasses with correlated disorder

• Verfasst von: Bonzom, Valentin [VerfasserIn]
• Verfasst von: Gurǎu, Rǎzvan [VerfasserIn]
• Verfasst von: Smerlak, Matteo [VerfasserIn]
• Titel: Universality in p-spin glasses with correlated disorder
• Verf.angabe: Valentin Bonzom, Razvan Gurau and Matteo Smerlak
• E-Jahr: 2013
• Jahr: 27 February 2013
• Umfang: 9 S.
• Fussnoten: Gesehen am 09.09.2022
• Titel Quelle: Enthalten in: Journal of statistical mechanics: theory and experiment
• Ort Quelle: Bristol : IOP Publ., 2004
• Jahr Quelle: 2013
• Band/Heft Quelle: (2013), 2, Artikel-ID L02003, Seite 1-9
• ISSN Quelle: 1742-5468
• DOI: doi:10.1088/1742-5468/2013/02/L02003
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1805163264

Abstract

We introduce a new method, based on the recently developed random tensor theory, for studying the p-spin glass model with non-Gaussian, correlated disorder. Using a suitable generalization of Gurau’s theorem on the universality of the large N limit of the p-unitary ensemble of random tensors, we exhibit an infinite family of such non-Gaussian distributions which leads to the same low temperature phase as the Gaussian distribution. While this result is easy to show (and well known) for uncorrelated disorder, its robustness with respect to strong quenched correlations is surprising. We show in detail how the critical temperature is renormalized by these correlations. We close with speculation on possible applications of random tensor theory to finite-range spin glass models.