From spin to anyon notation: The XXZ Heisenberg model as a D3 (or su(2)4) anyon chain

Abstract

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 D3 (alternately su(2)4) anyon model. We find the difference between the models lie primarily in choice of boundary condition.

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