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

  title={One-dimensional q-state Potts model with multi-site interactions},
  author={Lo{\"i}c Turban},
  journal={Journal of Physics A: Mathematical and Theoretical},
  • L. Turban
  • Published 31 January 2017
  • Physics, Mathematics
  • Journal of Physics A: Mathematical and Theoretical
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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