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

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Authors

  • Peter E. Finch

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Details

Original languageEnglish
Article number055305
Number of pages12
JournalJournal of Physics A: Mathematical and Theoretical
Volume46
Publication statusPublished - 21 Jan 2013

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 \(D_{3}\) (alternately \(su(2)_{4}\)) anyon model. We find the difference between the models lie primarily in choice of boundary condition.

Keywords

    math-ph, cond-mat.stat-mech, math.MP, quant-ph

Cite this

From spin to anyon notation: The XXZ Heisenberg model as a \(D_{3}\) (or \(su(2)_{4}\)) anyon chain. / Finch, Peter E.
In: Journal of Physics A: Mathematical and Theoretical, Vol. 46, 055305, 21.01.2013.

Research output: Contribution to journal › Article › Research › peer review

Finch, P. E. (2013). From spin to anyon notation: The XXZ Heisenberg model as a \(D_{3}\) (or \(su(2)_{4}\)) anyon chain. Journal of Physics A: Mathematical and Theoretical, 46, Article 055305. https://doi.org/10.1088/1751-8113/46/5/055305
Finch PE. From spin to anyon notation: The XXZ Heisenberg model as a \(D_{3}\) (or \(su(2)_{4}\)) anyon chain. Journal of Physics A: Mathematical and Theoretical. 2013 Jan 21;46:055305. doi: 10.1088/1751-8113/46/5/055305
Finch, Peter E. / From spin to anyon notation : The XXZ Heisenberg model as a \(D_{3}\) (or \(su(2)_{4}\)) anyon chain. In: Journal of Physics A: Mathematical and Theoretical. 2013 ; Vol. 46.
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