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

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We discuss an effective field theory of a triangular-lattice three-spin interaction model defined by the \\mathbbZp 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≥5; 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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