Phase diagram of the three states Potts model with next nearest neighbor interactions on the Bethe lattice

Nasir Ganikhodjaev; Farrukh Mukhamedov; Chin Hee Pah

doi:10.1016/j.physleta.2008.10.060

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arXiv · 0803.2558

Phase diagram of the three states Potts model with next nearest neighbor interactions on the Bethe lattice

Nasir Ganikhodjaev·Farrukh Mukhamedov·Chin Hee Pah

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Abstract

We have found an exact phase diagram of the Potts model with next nearest neighbor interactions on the Bethe lattice of order two. The diagram consists of five phases: ferromagnetic, paramagnetic, modulated, antiphase and paramodulated, all meeting at the Lifshitz point i.e. $p=1/3$. We report on a new phase which we denote as paramodulated, found at low temperatures and characterized by 2-periodic points of an one dimensional dynamical system lying inside the modulated phase. Such a phase, inherent in the Potts model has no analogues in the Ising setting.

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Nasir Ganikhodjaev, Farrukh Mukhamedov, Chin Hee Pah. 2008-03-18. Phase diagram of the three states Potts model with next nearest neighbor interactions on the Bethe lattice. https://doi.org/10.1016/j.physleta.2008.10.060

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