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arXiv · 1104.5485

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

F. J. Burnell·Chetan Nayak
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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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F. J. Burnell, Chetan Nayak. 2011-04-28. SU(2) Slave Fermion Solution of the Kitaev Honeycomb Lattice Model. https://doi.org/10.1103/physrevb.84.125125

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