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

Abstract

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.

11 pages, RevTeX, 6 PostScript figures included. Manuscript substantially extended, details on the analytical and numerical calculations added. To appear in Phys. Rev. B

References in corpus (3)

• Density matrix renormalization group study of the polaron problem in the Holstein model
• Density Profiles, Casimir Amplitudes and Critical Exponents in the Two Dimensional Potts Model: A Density Matrix Renormalization Study
• Numerical Latent Heat Observation of the q=5 Potts Model

Cited by in corpus (19)

• The density-matrix renormalization group
• New Trends in Density Matrix Renormalization
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• Off-equilibrium scaling behaviors across first-order transitions
• Weak first-order phase transitions in the frustrated square lattice J1-J2 classical Ising model
• Nonequilibrium phase transition in a driven Potts model with friction
• Surface-induced disorder and aperiodic perturbations at first-order transitions
• Interfacial adsorption in two-dimensional Potts models
• Critical Behavior of the Random Potts Chain
• Analysis of a continuous field theory in two dimensions with use of the Density Matrix Renormalization Group
• Entanglement entropy of the $Q\ge 4$ quantum Potts chain
• Three-dimensional non-equilibrium Potts systems with magnetic friction
• Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
• Extended surface disorder in the quantum Ising chain
• Nonequilibrium critical relaxation at a first-order phase transition point
• Coexistence of excited states in confined Ising systems
• Surface critical exponents at a discontinuous bulk transition