The Potts model on Kagomé and honeycomb lattices

Iwan Jensen; Anthony J. Guttmann; Ian G. Enting

doi:10.1088/0305-4470/30/23/008

The Potts model on Kagomé and honeycomb lattices

Iwan Jensen
, Anthony J. Guttmann
, Ian G. Enting

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

Low-temperature series have been derived for the q-state Potts model on the Kagomé lattice (q = 3 and 4) and for the 3-state honeycomb lattice. The series are derived by the finite-lattice method, with many additional terms obtained by noting the structure of the correction terms. Accurate estimates of the critical points are found, which confirm exact, but not rigorous results in the case of the honeycomb lattice, and refute previous conjectures in the case of the Kagomé lattice.

Original language	English
Pages (from-to)	8067-8083
Number of pages	17
Journal	Journal of Physics A: Mathematical and General
Volume	30
Issue number	23
DOIs	https://doi.org/10.1088/0305-4470/30/23/008
Publication status	Published - 7 Dec 1997
Externally published	Yes

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abstract = "Low-temperature series have been derived for the q-state Potts model on the Kagom{\'e} lattice (q = 3 and 4) and for the 3-state honeycomb lattice. The series are derived by the finite-lattice method, with many additional terms obtained by noting the structure of the correction terms. Accurate estimates of the critical points are found, which confirm exact, but not rigorous results in the case of the honeycomb lattice, and refute previous conjectures in the case of the Kagom{\'e} lattice.",

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AB - Low-temperature series have been derived for the q-state Potts model on the Kagomé lattice (q = 3 and 4) and for the 3-state honeycomb lattice. The series are derived by the finite-lattice method, with many additional terms obtained by noting the structure of the correction terms. Accurate estimates of the critical points are found, which confirm exact, but not rigorous results in the case of the honeycomb lattice, and refute previous conjectures in the case of the Kagomé lattice.

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The Potts model on Kagomé and honeycomb lattices

Abstract

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