SU(2) slave fermion solution of the Kitaev honeycomb lattice model

F. J. Burnell, Chetan Nayak

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We apply the SU(2) slave fermion formalism to the Kitaev honeycomb lattice model. We show that both the toric code phase (the A phase) and the gapless phase of this model (the B phase) can be identified with p-wave superconducting phases of the slave fermions, with nodal lines which, respectively, do not or do intersect the Fermi surface. The non-Abelian Ising anyon phase is a p+ip superconducting phase that occurs when the B phase is subjected to a gap-opening magnetic field. We also discuss the transitions between these phases in this language.

Original languageEnglish (US)
Article number125125
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number12
StatePublished - Sep 13 2011


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