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arXiv 2003-05-31 0 views

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

Mirza, B. · Bakhtiari, M. R.

Original · EN

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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