Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models

@article{Jacobsen2004TransferMA,
  title={Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models},
  author={Jesper Lykke Jacobsen and Jes{\'u}s Salas},
  journal={Journal of Statistical Physics},
  year={2004},
  volume={122},
  pages={705-760}
}
  • Jesper Lykke Jacobsen, Jesús Salas
  • Published 2004
  • Mathematics, Physics
  • Journal of Statistical Physics
  • We study the chromatic polynomial PG(q) for m× n square- and triangular-lattice strips of widths 2≤ m ≤ 8 with cyclic boundary conditions. This polynomial gives the zero-temperature limit of the partition function for the antiferromagnetic q-state Potts model defined on the lattice G. We show how to construct the transfer matrix in the Fortuin–Kasteleyn representation for such lattices and obtain the accumulation sets of chromatic zeros in the complex q-plane in the limit n→∞. We find that the… CONTINUE READING

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