# One-dimensional q-state Potts model with multi-site interactions

@article{Turban2017OnedimensionalQP, title={One-dimensional q-state Potts model with multi-site interactions}, author={Lo{\"i}c Turban}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2017}, volume={50} }

A one-dimensional (1D) q-state Potts model with N sites, m-site interaction K in a field H is studied for arbitrary values of m. Exact results for the partition function and the two-point correlation function are obtained at H = 0. The system in a field is shown to be self-dual. Using a change of Potts variables, it is mapped onto a standard 2D Potts model, with first-neighbour interactions K and H, on a cylinder with helical boundary conditions (BC). The 2D system has a length N/m and a…

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