Determinant of the Potts model transfer matrix and the critical point

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

2005-01-18

arxiv.org/abs/cond-mat/0501425v1

Physica A 348 (2005) 173-180

Physics

Condensed Matter

Statistical Mechanics

8 pages

Scientific paper

10.1016/j.physa.2004.10.003

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.

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