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cond-mat.mes-hall2009★ 61 cited
A Description of Kitaev's Honeycomb Model with Toric-Code Stabilizers
G. Kells, J. K. Slingerland, J. Vala
We present a solution of Kitaev's spin model on the honeycomb lattice and of related topologically ordered spin models. We employ a Jordan-Wigner type fermionization and find that…
cond-mat.mes-hall2008★ 48 cited
Topological degeneracy and vortex manipulation in Kitaev's honeycomb model
G. Kells, A. T. Bolukbasi, V. Lahtinen +3
The classification of loop symmetries in Kitaev's honeycomb lattice model provides a natural framework to study the abelian topological degeneracy. We derive a perturbative low-ene…