English

Determinant of the Potts model transfer matrix and the critical point

Statistical Mechanics 2007-05-23 v1

Abstract

By using a decomposition of the transfer matrix of the qq-state Potts Model on a three dimensional m×n×n m \times n \times n simple cubic lattice its determinant is calculated exactly. By using the calculated determinants a formula is conjectured which approximates the critical temperature for a d-dimensional hypercubic lattice.

Keywords

Cite

@article{arxiv.cond-mat/0501425,
  title  = {Determinant of the Potts model transfer matrix and the critical point},
  author = {Behrouz Mirza},
  journal= {arXiv preprint arXiv:cond-mat/0501425},
  year   = {2007}
}

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8 pages