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    Condensation of achiral simple currents in topological lattice models: a Hamiltonian study of topological symmetry breaking


    Burnell, F.J. and Simon, Steven H. and Slingerland, Joost (2011) Condensation of achiral simple currents in topological lattice models: a Hamiltonian study of topological symmetry breaking. Physical Review B, 84. p. 125434. ISSN 1098-0121

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    Abstract

    We describe a family of phase transitions connecting phases of differing non-trivial topological order by explicitly constructing Hamiltonians of the Levin-Wen[PRB 71, 045110] type which can be tuned between two solvable points, each of which realizes a different topologically ordered phase. We show that the low-energy degrees of freedom near the phase transition can be mapped onto those of a Potts model, and we discuss the stability of the resulting phase diagram to small perturbations about the model. We further explain how the excitations in the condensed phase are formed from those in the original topological theory, some of which are split into multiple components by condensation, and we discuss the implications of our results for understanding the nature of general achiral topological phases in 2 + 1 dimensions in terms of doubled Chern-Simons theories.

    Item Type: Article
    Keywords: chiral simple currents; topological lattice models; a Hamiltonian study; topological symmetry breaking;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 4791
    Depositing User: Dr. Joost Slingerland
    Date Deposited: 05 Mar 2014 15:26
    Journal or Publication Title: Physical Review B
    Publisher: American Physical Society
    Refereed: Yes
    URI:

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