English

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

Strongly Correlated Electrons 2011-11-01 v1

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+ipp+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.

Keywords

Cite

@article{arxiv.1104.5485,
  title  = {SU(2) Slave Fermion Solution of the Kitaev Honeycomb Lattice Model},
  author = {F. J. Burnell and Chetan Nayak},
  journal= {arXiv preprint arXiv:1104.5485},
  year   = {2011}
}