Determinant of the Potts model transfer matrix and the critical point

Behrouz Mirza

doi:10.1016/j.physa.2004.10.003

paper

Determinant of the Potts model transfer matrix and the critical point

arXiv:cond-mat/0501425 · doi:10.1016/j.physa.2004.10.003

Abstract

By using a decomposition of the transfer matrix of the $q$ -state Potts Model on a three dimensional $m \times n \times n$ 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.

8 pages

References in corpus (1)

A method of calculation for the determinant of the Potts model transfer matrix