Antiferromagnetic ordering in the three-state Potts model
- 1 December 1977
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 10 (12) , 2123-2131
- https://doi.org/10.1088/0305-4470/10/12/020
Abstract
The three-state Potts model on a triangular lattice with nearest neighbour interaction K is studied. Using a simple position-space renormalisation group transformation it is found that, in addition to the usual continuous transition to the ferromagnetic state which occurs for positive K, a continuous transition to an antiferromagnetic state occurs for negative K. The transformation introduces a three-spin interaction. In the space of these two interactions, the lines of ferromagnetic and antiferromagnetic transitions meet at a bicritical point. These results differ from those predicted by Landau theory.Keywords
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