An anyon model in a toric honeycomb lattice

Details An anyon model in a toric honeycomb lattice An anyon model in a toric honeycomb lattice

2010-06-04

arxiv.org/abs/1006.0804v1

Commun.Theor.Phys.55:80-83,2011

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures

Scientific paper

10.1088/0253-6102/55/1/16

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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