From spin to anyon notation: The XXZ Heisenberg model as a $D_{3}$ (or $su(2)_{4}$) anyon chain

Details From spin to anyon notation: The XXZ Heisenberg model as a $D_{3}$ (or $su(2)_{4}$) anyon chain From spin to anyon notation: The XXZ Heisenberg model as a $D_{3}$ (or $su(2)_{4}$) anyon chain

2012-01-21

arxiv.org/abs/1201.4470v1

Physics

Mathematical Physics

10 pages

Scientific paper

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.

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