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    Finite size effects in the Kitaev honeycomb lattice model on a torus


    Kells, G. and Moran, N. and Vala, Jiri (2009) Finite size effects in the Kitaev honeycomb lattice model on a torus. Journal of Statistical Mechanics: Theory and Experiment (P03006). ISSN 1742-5468

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    Abstract

    We analyze low energy spectral properties of small toroidal configurations of the Kitaev honeycomb spin model in the Abelian topological phase. We begin with a brief classification of honeycomb lattices on a torus. Then, using the Brillouin–Wigner perturbation theory, we explain the low order finite size effects that can occur in these systems and show how they affect their ground state topological degeneracy. Finally, we demonstrate the accuracy of the perturbative method by means of exact diagonalization, and use the insights into the finite size effects to reconstruct the topological degeneracy in a small example system.

    Item Type: Article
    Additional Information: Cite as: G Kells et al J. Stat. Mech. (2009) P03006
    Keywords: solvable lattice models; finite-size scaling; other numerical approaches;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 10572
    Identification Number: https://doi.org/10.1088/1742-5468/2009/03/P03006
    Depositing User: Dr. Jiri Vala
    Date Deposited: 22 Feb 2019 16:18
    Journal or Publication Title: Journal of Statistical Mechanics: Theory and Experiment
    Publisher: Institute of Physics
    Refereed: Yes
    URI:

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