Boundary and Bulk Phase Transitions in the Two Dimensional Q > 4 State Potts Model

Details Boundary and Bulk Phase Transitions in the Two Dimensional Q > 4 State Potts Model Boundary and Bulk Phase Transitions in the Two Dimensional Q > 4 State Potts Model

1998-05-07

arxiv.org/abs/cond-mat/9805083v3

Phys. Rev. B 59, 3783 (1999)

Physics

Condensed Matter

Statistical Mechanics

11 pages, RevTeX, 6 PostScript figures included. Manuscript substantially extended, details on the analytical and numerical ca

Scientific paper

10.1103/PhysRevB.59.3783

The surface and bulk properties of the two-dimensional Q > 4 state Potts model in the vicinity of the first order bulk transition point have been studied by exact calculations and by density matrix renormalization group techniques. For the surface transition the complete analytical solution of the problem is presented in the $Q \to \infty$ limit, including the critical and tricritical exponents, magnetization profiles and scaling functions. According to the accurate numerical results the universality class of the surface transition is independent of the value of Q > 4. For the bulk transition we have numerically calculated the latent heat and the magnetization discontinuity and we have shown that the correlation lengths in the ordered and in the disordered phases are identical at the transition point.

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