Abstract
We study the Potts model with a zero external field on the Cayley tree. For the antiferromagnetic Potts model with q states on a second-order Cayley tree and for the ferromagnetic Potts model with q states on a kth-order Cayley tree, we show that all periodic Gibbs measures are translation-invariant for all parameter values.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 199, No. 2, pp. 291–301, May, 2019.
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Khakimov, R.M., Makhammadaliev, M.T. Translation Invariance of the Periodic Gibbs Measures for the Potts Model on the Cayley Tree. Theor Math Phys 199, 726–735 (2019). https://doi.org/10.1134/S004057791905009X
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DOI: https://doi.org/10.1134/S004057791905009X