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Some New Exact Results for the q-State Potts Model on Ladder Graphs

B. Mirza, M. R. Bakhtiari

cond-mat.stat-mecharXiv:cond-mat/0306007

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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