Determinant of the Potts model transfer matrix and the critical point

Behrouz Mirza

Physica A: Statistical Mechanics and its Applications, 2005, vol. 348, issue C, 173-180

Abstract: By using a decomposition of the transfer matrix of the q-state Potts model on a three-dimensional m×n×n simple cubic lattice its determinant is calculated exactly. By using the calculated determinants, a formula is conjectured that approximates the critical temperature for a d-dimensional hypercubic lattice.

Keywords: Potts model; Exactly solvable models; Critical temperature (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:348:y:2005:i:c:p:173-180

DOI: 10.1016/j.physa.2004.10.003

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