The Ising model on the tetrahedron lattice. I. An extended susceptibility series
- 1 December 1975
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 8 (12) , 1920-1932
- https://doi.org/10.1088/0305-4470/8/12/009
Abstract
The authors have calculated the first 16 terms of the series expansion for the high-temperature susceptibility of the Ising model for a lattice made up of the B sites of the crystobalite or spinel structures (the 'tetrahedron' lattice). By means of a transformation technique which allows the enumeration of graphs to be carried out on the simpler diamond lattice six new terms have been added to previously published results. They estimate that the critical temperature is given by nu c=0.23300+or-0.00001 and that the exponent gamma is gamma =1.250+or-0.001, a result which gives further confirmation of the universality hypothesis.Keywords
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