Critical Behavior for 2d Uniform and Disordered Ferromagnets at Self-Dual Points

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126971We consider certain two-dimensional systems with self--dual points including uniform and disordered $q$-state Potts models. For systems with continuous energy density (such as the disordered versions) it is established that the self--dual point exhibits critical behavior: Infinite susceptibility, vanishing magnetization and power law bounds for the decay of correlations.submitted to Commun. Math. PhysStatistical MechanicsDisordered Systems and Neural NetworksMathematical PhysicsCritical Behavior for 2d Uniform and Disordered Ferromagnets at Self-Dual Pointstext