Locating analytically critical temperature in some statistical systems

Details Locating analytically critical temperature in some statistical systems Locating analytically critical temperature in some statistical systems

1993-12-05

arxiv.org/abs/hep-lat/9312025v1

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, LATEX, TPJU-23/93 November 1993

Scientific paper

10.1103/PhysRevB.49.15023

We have found a simple criterion which allows for the straightforward determination of the order-disorder critical temperatures. The method reproduces exactly results known for the two dimensional Ising, Potts and $Z(N<5)$ models. It also works for the Ising model on the triangular lattice. For systems which are not selfdual our proposition remains an unproven conjecture. It predicts $\beta_c=0.2656...$ for the two coupled layers of Ising spins. Critical temperature of the three dimensional Ising model is related to the free energy of the two layer Ising system.

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