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Abstract: We study an anyon model in a toric honeycomb lattice. The ground states andthe low-lying excitations coincide with those of Kitaev toric code model andthen the excitations obey mutual semionic statistics. This model is helpful tounderstand 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 boundarycoupled Ising chain array in a square lattice via Jordan-Wigner transformation.We discuss the equivalence between these two models in the low-lying sector andrealize these anyon excitations in a conventional fermion system.



Author: Long Liang, Yue Yu

Source: https://arxiv.org/







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