New order parameters in the Potts model on a Cayley tree

F. Wagner; D. Grensing; J. Heide

doi:10.1088/0305-4470/34/50/308

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New order parameters in the Potts model on a Cayley tree

F. Wagner·D. Grensing·J. Heide

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Abstract

For the $q-$state Potts model new order parameters projecting on a group of spins instead of a single spin are introduced. On a Cayley tree this allows the physical interpretation of the Potts model at noninteger values q of the number of states. The model can be solved recursively. This recursion exhibits chaotic behaviour changing qualitatively at critical values of $q_0$ . Using an additional order parameter belonging to a group of zero extrapolated size the additional ordering is related to a percolation problem. This percolation distinguishes different phases and explains the critical indices of percolation class occuring at the Peierls temperature.

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F. Wagner, D. Grensing, J. Heide. 2001-10-15. New order parameters in the Potts model on a Cayley tree. https://doi.org/10.1088/0305-4470%2F34%2F50%2F308

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