Phase Transition of Generalized Ferromagnetic Potts Model - Effect of Invisible States -

Abstract

We investigate the nature of the phase transition of the ferromagnetic Potts model with invisible states. The ferromagnetic Potts model with invisible states can be regarded as straightforward extension of the standard ferromagnetic Potts model. The invisible states contribute the entropy, however they do not affect the internal energy. They also do not change the symmetry which breaks at the transition temperature. The invisible states stimulate a first-order phase transition. We confirm that the first-order phase transition with spontaneous $q$-fold symmetry breaking for $q=2,3$, and 4 takes place even on two-dimensional lattice by Monte Carlo simulation. We also find that the transition temperature decreases and the latent heat increases as the number of invisible states increases.

7 pages, 5 figures, Contribution to the Proceedings of STATPHYS-Kolkata VII, November 26-30, 2010

References in corpus (5)

• Quadrupolar correlations and spin freezing in S = 1 triangular lattice antiferromagnets
• Novel spin-liquid states in the frustrated Heisenberg antiferromagnet on the honeycomb lattice
• First-Order Transition to Incommensurate Phase with Broken Lattice Rotation Symmetry in Frustrated Heisenberg Model
• Phase Transition in Potts Model with Invisible States
• Dynamical properties of Potts model with invisible states

Cited by in corpus (8)

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• Interlayer-Interaction Dependence of Latent Heat in the Heisenberg Model on a Stacked Triangular Lattice with Competing Interactions
• Hybrid Quantum Annealing for Clustering Problems