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    Kaleidoscope of topological phases with multiple Majorana species


    Kells, G. and Kailasvuori, J. and Slingerland, Joost and Vala, Jiri (2011) Kaleidoscope of topological phases with multiple Majorana species. New Journal of Physics (NJP), 13. 095014. ISSN 1367-2630

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    Abstract

    Exactly solvable lattice models for spins and non-interacting fermions provide fascinating examples of topological phases, some of them exhibiting the localized Majorana fermions that feature in proposals for topological quantum computing. The Chern invariant ν is an important characterization of such phases. Here we look at the square–octagon variant of Kitaev’s honeycomb model. It maps to spinful paired fermions and enjoys a rich phase diagram featuring distinct Abelian and non-Abelian phases with ν = 0 , ± 1 , ± 2 , ± 3 and ± 4. The ν = ± 1 and ν = ± 3 phases all support localized Majorana modes and are examples of Ising and SU ( 2 ) 2 anyon theories, respectively

    Item Type: Article
    Keywords: Kaleidoscope; topological phases; multiple Majorana species;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 4798
    Depositing User: Dr. Joost Slingerland
    Date Deposited: 05 Mar 2014 17:16
    Journal or Publication Title: New Journal of Physics (NJP)
    Publisher: Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft
    Refereed: Yes
    URI:

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