The Critical Behaviour of Potts models with symmetry breaking fields

Details The Critical Behaviour of Potts models with symmetry breaking fields The Critical Behaviour of Potts models with symmetry breaking fields

1995-10-20

arxiv.org/abs/cond-mat/9510124v1

Physics

Condensed Matter

15 pages (standart LaTex), 2 figure (PostScript) available by request to pjcx@power.ufscar.br

Scientific paper

10.1088/0305-4470/29/13/009

The $Q$-state Potts model in two dimensions in the presence of external magnetic fields is studied. For general $Q\geq3$ special choices of these magnetic fields produce effective models with smaller $Z(Q')$ symmetry $(Q'< Q)$. The phase diagram of these models and their critical behaviour are explored by conventional finite-size scaling and conformal invariance. The possibility of multicritical behavior, for finite values of the symmetry breaking fields, in the cases where $Q>4$ is also analysed. Our results indicate that for effective models with $Z(Q')$ symmetry $(Q'\leq4)$ the multicritical point occurs at zero field. This last result is also corroborated by Monte Carlo simulations.

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