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Calculation of the shift exponent for the two layer three state Potts model using the transfer matrix method

Tahmasb Mardani·Behrouz Mirza·Mehrdad Ghaemi
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Abstract

A finite-size scaling approach based on the transfer matrix method is developed to calculate the critical temperature and critical exponent of the symmetric and the asymmetric two-layer three-state Potts Models. For similar intralayer interactions our calculation of the shift exponent $ϕ$ confirm some scaling arguments which predict $ϕ= γ$, where $γ$ is the susceptibility exponent. For unequal intralayer interactions we have obtained $ϕ= 0.5 $ which differs from the prediction $ϕ= {γ/ 2} $ of a generalized mean-field theory.

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Tahmasb Mardani, Behrouz Mirza, Mehrdad Ghaemi. 2005-10-01. Calculation of the shift exponent for the two layer three state Potts model using the transfer matrix method. https://doi.org/10.1103/physreve.72.026127

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