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

Lincoln Chayes; Kirill Shtengel

doi:10.1007/s002200050649

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

Lincoln Chayes·Kirill Shtengel

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Abstract

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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Lincoln Chayes, Kirill Shtengel. 1998-11-14. Critical Behavior for 2d Uniform and Disordered Ferromagnets at Self-Dual Points. https://doi.org/10.1007/s002200050649

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