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

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 $\varphi$ confirm some scaling arguments which predict $\varphi =\gamma$, where $\gamma$ is the susceptibility exponent. For unequal intralayer interactions we have obtained $\varphi =0.5$ which differs from the prediction $\varphi =\gamma /2$ of a generalized mean-field theory.

13 pages