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Paper   IPM / Physic / 7233
School of Physics
  Title:   Some New Exact Results for the Q-State Potts Model on Ladder Graphs
  Author(s): 
1.  B. Mirza
2.  M.R. Bakhtiari
  Status:   Preprint
  Journal:
  No.:  0
  Year:  2003
  Supported by:  IPM
  Abstract:
We present exact calculations of the partition function for the q-state Potts model for general q, temperature and magnetic field on strips of the square lattices of width Ly=2 and arbitrary length Lx = m with periodic longitudinal boundary conditions. A new representation of the transfer matrix for the q-state Potts model is introduced which can be used to calculate the determinant of the transfer matrix for an arbirary m ×m lattice with periodic boundary conditions.

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