Determinant of the Potts model transfer matrix and the critical point

2005/01/18 by Behrouz Mirza
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1016/j.physa.2004.10.003

published as Physica A 348 (2005) 173-180 · 8 pages

arxiv created 2005/01/18 · arxiv updated 2009/12/01

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 which approximates the critical temperature for a d-dimensional hypercubic lattice.

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