Random Matrix Theory and higher genus integrability: the quantum chiral Potts model

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dc.creatord'Auriac, J. -Ch. Angles
dc.creatorMaillard, J. -M.
dc.creatorViallet, C. M.
dc.date2002-05-06
dc.date.accessioned2026-07-07T10:48:05Z
dc.date.available2026-07-07T10:48:05Z
dc.descriptionWe perform a Random Matrix Theory (RMT) analysis of the quantum four-state chiral Potts chain for different sizes of the chain up to size L=8. Our analysis gives clear evidence of a Gaussian Orthogonal Ensemble statistics, suggesting the existence of a generalized time-reversal invariance. Furthermore a change from the (generic) GOE distribution to a Poisson distribution occurs when the integrability conditions are met. The chiral Potts model is known to correspond to a (star-triangle) integrability associated with curves of genus higher than zero or one. Therefore, the RMT analysis can also be seen as a detector of ``higher genus integrability''.
dc.description23 pages and 10 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0205101
dc.identifierhttp://arxiv.org/abs/cond-mat/0205101
dc.identifierJ.Phys.A35:4801-4822,2002
dc.identifierdoi:10.1088/0305-4470/35/23/301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183755
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleRandom Matrix Theory and higher genus integrability: the quantum chiral Potts model
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