Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

                     
Accueil
Accès
Personnel
Publications
Articles dans des revues à comité de lecture
Lettres
Actes de conférences invités
Actes de conférences
Non publié
Thèse
Habilitation à diriger des recherches
Epistémologie, histoire des sciences
Articles à vocation pédagogique
Livres
Edition d'ouvrage
Chapitres de livre
Vulgarisation
Séminaires
Ateliers
Rencontres
Ecoles
International
Grp Travail
Theses, Postes
Enseignement

Articles dans des revues à comité de lecture

Numerical evidence of the double-Griffiths phase of the random quantum Ashkin-Teller chain
Chatelain C., Voliotis D.
Eur. Phys. J. B 89 (2016) 18
DOI : 10.1140/epjb/e2015-60593-3
ArXiv : arxiv:1506.00416 [PDF]
HAL : hal-01158447

The random quantum Ashkin-Teller chain is studied numerically by means of time-dependent Density-Matrix Renormalization Group. The critical lines are estimated as the location of the peaks of the integrated autocorrelation times, computed from spin-spin and polarization-polarization autocorrelation functions. Disorder fluctuations of magnetization and polarization are observed to be maximum on these critical lines. Entanglement entropy leads to the same phase diagram, though with larger Finite-Size effects. The decay of spin-spin and polarization-polarization autocorrelation functions provides numerical evidence of the existence of a double Griffiths phase when taking into account finite-size effects. The two associated dynamical exponents z increase rapidly as the critical lines are approached, in agreement with the recent conjecture of a divergence at the two transitions in the thermodynamic limit.



Haut de page