Boundary and bulk phase transitions in the two-dimensionalQ-state Potts model(Q>4)

The surface and bulk properties of the two-dimensional $Q>\mathrm{}4\mathrm{}$ 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 $\overrightarrow{Q}\infty$ limit, including the critical and tricritical exponents, magnetization profiles, and scaling functions. We have shown in an accurate numerical study that the universality class of the surface transition is independent of the value of $Q>\mathrm{}4.\mathrm{}$ 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 disordered phases are identical at the transition point.