Effective Field Theory of Triangular-Lattice Three-Spin Interaction Model

Details Effective Field Theory of Triangular-Lattice Three-Spin Interaction Model Effective Field Theory of Triangular-Lattice Three-Spin Interaction Model

2007-03-15

arxiv.org/abs/cond-mat/0703391v2

J. Phys. Soc. Jpn. 76 (2007) 073002

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1143/JPSJ.76.073002

We discuss an effective field theory of a triangular-lattice three-spin interaction model defined by the ${\mathbb Z}_p$ variables. Based on the symmetry properties and the ideal-state graph concept, we show that the vector dual sine-Gordon model describes the long-distance properties for $p\ge5$; we then compare its predictions with the previous argument. To provide the evidences, we numerically analyze the eigenvalue structure of the transfer matrix for $p=6$, and we check the criticality with the central charge $c=2$ of the intermediate phase and the quantization condition of the vector charges.

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