q-state Potts model on the Apollonian network
arXiv:1007.4494 · doi:10.1103/PhysRevE.82.046109
Abstract
The q-state Potts model is studied on the Apollonian network with Monte Carlo simulations and the Transfer Matrix method. The spontaneous magnetization, correlation length, entropy, and specific heat are analyzed as a function of temperature for different number of states, . Different scaling functions in temperature and are proposed. A quantitative agreement is found between results from both methods. No critical behavior is observed in the thermodynamic limit for any number of states.
7 pages, 6 figures. Final version
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