Ferenc Igloi, Enrico Carlon
Published 1998-05-07, updated 1998-11-19Version 3
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.
Comments: 11 pages, RevTeX, 6 PostScript figures included. Manuscript substantially extended, details on the analytical and numerical calculations added. To appear in Phys. Rev. B
Journal: Phys. Rev. B 59, 3783 (1999)
Backbone and shortest-path exponents of the two-dimensional $Q$-state Potts model
On the phase diagram of the random bond $q$-state Potts model
Spinodal-assisted nucleation in the two-dimensional $q-$state Potts model with short-to-long range interactions
