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

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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.
8 pages TeX

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Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/21526

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0306007
 http://arxiv.org/abs/cond-mat/0306007

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arXiv