%0 Journal Article %T From spin to anyon notation: The XXZ Heisenberg model as a $D_{3}$ (or $su(2)_{4}$) anyon chain %A Peter E. Finch %J Physics %D 2012 %I arXiv %R 10.1088/1751-8113/46/5/055305 %X We discuss a relationship between certain one-dimensional quantum spin chains and anyon chains. In particular we show how the XXZ Heisenberg chain is realised as a $D_{3}$ (alternately $su(2)_{4}$) anyon model. We find the difference between the models lie primarily in choice of boundary condition. %U http://arxiv.org/abs/1201.4470v2