The Kadanoff lowerbound renormalization transformation for the q-state Potts model

M.P.M. Den Nijs

Physica A: Statistical Mechanics and its Applications, 1979, vol. 95, issue 3, 449-472

Abstract: The Kadanoff lowerbound renormalization transformation when applied to the 2-dimensional q-state Potts model, is found to show a bifurcation phenomenon at q = 4, that might be considered as signalling the onset to the first-order transition. At the value of the free parameter where the bifurcation is found, the specific heat exponent takes almost the value predicted by weak universality α(4) = 23, while the cross-over exponent in the Potts-lattice gas direction becomes marginal. The cross-over exponent in the cubic direction is found already to be irrelevant for q > 3.3. Further a duality relation for a class of models obtained by a partial breaking of the Potts symmetry in the hamiltonian, including the cubic model is derived.

Date: 1979
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:95:y:1979:i:3:p:449-472

DOI: 10.1016/0378-4371(79)90026-8

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