Critical line of an n-component cubic model.
We consider a special case of the -component cubic model on the square lattice, for which an expansion exists in Ising-type graphs. We construct a transfer matrix and perform a finite-size-scaling analysis to determine the critical points for several values of . Furthermore we determine several universal quantities, including three critical exponents. For , these results agree well with the theoretical predictions for the critical branch. This model is also a special case of the model of Domany and Riedel. It appears that the self-dual plane of the latter model contains the exactly known critical points of the and 2 cubic models. For this reason we have checked whether this is also the case for . However, this possibility is excluded by our numerical results.
Guo
Wenan
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Physics Department, Beijing Normal University, Beijing 100875, People's Republic of China. waguo@bnu.edu.cn
Qian
Xiaofeng
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Blöte
Henk W J
HW
Wu
F Y
FY