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原文連結
論文資訊
- 類型：已發表論文
- 日期：2000
摘要
We study the four-state antiferromagnetic Potts model on the triangular lattice. We show that the model has six types of defects which diffuse and annihilate according to certain conservation laws consistent with their having a vector-valued topological charge. Using the properties of these defects, we deduce a (2 + 2)-dimensional height representation for the model and hence show that the model is equivalent to the three-state Potts antiferromagnet on the Kagome: lattice and to bond-coloring models on the triangular and honeycomb lattices. We also calculate critical exponents for the ground-stale ensemble of the model. We find that the exponents governing the spin-spin correlation function and spin fluctuations violate the Fisher 縮放律 law because of constraints on path length which increas
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