Numerical evidence of superuniversality of the 2D and 3D random quantum Potts models - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review B Année : 2021

Numerical evidence of superuniversality of the 2D and 3D random quantum Potts models

Résumé

The random $q$-state quantum Potts model is studied on hypercubic lattices in dimensions 2 and 3 using the numerical implementation of the Strong Disorder Renormalization Group introduced by Kovacs and Iglói [Phys. Rev. B 82, 054437 (2010)]. Critical exponents $\nu$, $d_f$ and $\psi$ at the Infinite Disorder Fixed Point are estimated by Finite-Size Scaling for several numbers of states $q$ between 2 and 50. When scaling corrections are not taken into account, the estimates of both $d_f$ and $\psi$ systematically increase with $q$. It is shown however that $q$-dependent scaling corrections are present and that the exponents are compatible within error bars, or close to each other, when these corrections are taking into account. This provides evidence of the existence of a superuniversality of all 2D and 3D random Potts models.
Fichier principal
Vignette du fichier
main2.pdf (441.47 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03187568 , version 1 (02-04-2021)
hal-03187568 , version 2 (18-05-2021)

Identifiants

Citer

Valentin Anfray, Christophe Chatelain. Numerical evidence of superuniversality of the 2D and 3D random quantum Potts models. Physical Review B, 2021, 103, pp.174207. ⟨10.1103/PhysRevB.103.174207⟩. ⟨hal-03187568v2⟩
71 Consultations
45 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More