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

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

1998-11-14

arxiv.org/abs/cond-mat/9811203v1

Commun. Math. Phys., vol.204, (1999) p.353-66

Physics

Condensed Matter

Statistical Mechanics

submitted to Commun. Math. Phys

Scientific paper

10.1007/s002200050649

We 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.

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