SU(2) Slave Fermion Solution of the Kitaev Honeycomb Lattice Model

2011/04/28 by F. J. Burnell, Chetan Nayak · 2 citations
Physics and Astronomy · #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.84.125125

published as Phys. Rev. B 84, 125125 (2011)

arxiv created 2011/04/28 · arxiv updated 2011/11/01

Abstract

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 which occurs when the B phase is subjected to a gap-opening magnetic field. We also discuss the transitions between these phases in this language.

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• Exact Organization of Density Matrices and Entanglement Structure in the Kitaev Spin Liquid
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