Calculation of the shift exponent for the two-layer three-state Potts model using the transfer matrix method.
Phys Rev E 2005;
72:026127. [PMID:
16196664 DOI:
10.1103/physreve.72.026127]
[Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/28/2004] [Indexed: 11/07/2022]
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 phi confirm some scaling arguments which predict phi = gamma, where gamma is the susceptibility exponent. For unequal intralayer interactions we have obtained phi = 0.5 which differ from the prediction phi = gamma/2 of a generalized mean-field theory.
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