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

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

2003-05-31

arxiv.org/abs/cond-mat/0306007v1

Physics

Condensed Matter

Statistical Mechanics

8 pages TeX

Scientific paper

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 $L_{y}=2$ and arbitrary length $L_x = 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 $m \times m$ lattice with periodic boundary conditions.

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