Exact Curie temperature for the Ising model on Archimedean and Laves lattices

Details Exact Curie temperature for the Ising model on Archimedean and Laves lattices Exact Curie temperature for the Ising model on Archimedean and Laves lattices

2010-08-27

arxiv.org/abs/1008.4720v1

J. Phys. A: Math. Theor. 43 (2010) 385002 (7pp)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 1 figures, 3 tables

Scientific paper

10.1088/1751-8113/43/38/385002

Using the Feynman-Vdovichenko combinatorial approach to the two dimensional Ising model, we determine the exact Curie temperature for all two dimensional Archimedean lattices. By means of duality, we extend our results to cover all two dimensional Laves lattices. For those lattices where the exact critical temperatures are not exactly known yet, we compare them with Monte Carlo simulations.

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