Critical line of an n-component cubic model

Details Critical line of an n-component cubic model Critical line of an n-component cubic model

2005-10-21

arxiv.org/abs/cond-mat/0510571v1

Phys. Rev. E 73, 026104(2006)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.73.026104

We consider a special case of the n-component cubic model on the square lattice, for which an expansion exists in Ising-like graphs. We construct a transfer matrix and perform a finite-size-scaling analysis to determine the critical points for several values of n. Furthermore we determine several universal quantities, including three critical exponents. For n<2, these results agree well with the theoretical predictions for the critical O(n) branch. This model is also a special case of the ($N_\alpha,N_\beta$) model of Domany and Riedel. It appears that the self-dual plane of the latter model contains the exactly known critical points of the n=1 and 2 cubic models. For this reason we have checked whether this is also the case for 1

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