Duality relations and equivalences for models with O(N) and cubic symmetry |
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| Authors: | Eytan Domany D. Mukamel B. Nienhuis A. Schwimmer |
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| Affiliation: | Department of Electronics, Weizmann Institute of Science, Rehovot, Israel;IBM Thomas J. Watson Research Center, Yorktown Heights, NY 10598, USA;Department of Physics, University of Washington, Seattle, WA 98195, USA;Blackett Laboratory, Imperial College of Science and Technology, Prince Consort Road, London SW7 2BZ, UK |
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| Abstract: | Formal expression for high-temperature series are derived for models with O(N) and cubic symmetry, with a special form of nearest neighbor interactions on the honeycomb lattice. By deriving low-temperature series for a class of generalized solid-on-solid and cubic models, a duality relation is established. Equivalences between cubic and SOS type models are also found. In the large-N limit, the series reduce to those of the hard hexagon model. |
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