From spin to anyon notation: The XXZ Heisenberg model as a D₃ (or su(2)₄) anyon chain
classification
🧮 math-ph
cond-mat.stat-mechmath.MPquant-ph
keywords
anyonchainchainsheisenbergmodelspinalternatelyboundary
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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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