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    Existence of zero-energy modes in the finite edged Kitaev honeycomb model


    Watts, P. and Vala, Jiri (2011) Existence of zero-energy modes in the finite edged Kitaev honeycomb model. Journal of Statistical Mechanics: Theory and Experiment (P06020). pp. 1-18. ISSN 1742-5468

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    Abstract

    We describe how the Kitaev honeycomb model with a finite number of sites on a torus may be easily generalised to cylindrical and rectangular topologies using a recently developed fermionisation technique. We then look for criteria which determine if zero-energy modes exist for these cases in the absence of an external magnetic field. For the cylindrical case, we determine the combination of spin–spin coupling strengths and vortex configurations which give zero modes and construct them explicitly, and for the rectangular case we show that no zero modes can exist.

    Item Type: Article
    Additional Information: The definitive version of this article is available at Existence of zero-energy modes in the finite edged Kitaev honeycomb model. Watts and J Vala J. Stat. Mech. (2011) P06020 doi:10.1088/1742-5468/2011/06/P06020
    Keywords: solvable lattice models; zero-energy modes; finite edged Kitaev honeycomb model;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 6312
    Identification Number: https://doi.org/10.1088/1742-5468/2011/06/P06020
    Depositing User: Dr. Jiri Vala
    Date Deposited: 24 Aug 2015 13:41
    Journal or Publication Title: Journal of Statistical Mechanics: Theory and Experiment
    Publisher: Institute of Physics
    Refereed: Yes
    URI:

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