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arXiv · 1006.0804

An anyon model in a toric honeycomb lattice

Long Liang·Yue Yu
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Abstract

We study an anyon model in a toric honeycomb lattice. The ground states and the low-lying excitations coincide with those of Kitaev toric code model and then the excitations obey mutual semionic statistics. This model is helpful to understand the toric code of anyons in a more symmetric way. On the other hand, there is a direct relation between this toric honeycomb model and a boundary coupled Ising chain array in a square lattice via Jordan-Wigner transformation. We discuss the equivalence between these two models in the low-lying sector and realize these anyon excitations in a conventional fermion system.

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Long Liang, Yue Yu. 2010-06-04. An anyon model in a toric honeycomb lattice. https://doi.org/10.1088/0253-6102%2F55%2F1%2F16

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