# Determinant of the Potts model transfer matrix and the critical point

Research paper by Behrouz Mirza

Indexed on: 18 Jan '05Published on: 18 Jan '05Published in: Physics - Statistical Mechanics

#### 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.