Topological degeneracy and vortex manipulation in Kitaev's honeycomb model

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dc.creatorKells, G.
dc.creatorBolukbasi, A. T.
dc.creatorLahtinen, V.
dc.creatorSlingerland, J. K.
dc.creatorPachos, J. K.
dc.creatorVala, J.
dc.date2008-04-17
dc.date2008-11-11
dc.date.accessioned2026-07-07T12:27:21Z
dc.date.available2026-07-07T12:27:21Z
dc.descriptionThe 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-energy effective Hamiltonian, that is valid to all orders of the expansion and for all possible toroidal configurations. Using this form we demonstrate at what order the system's topological degeneracy is lifted by finite size effects and note that in the thermodynamic limit it is robust to all orders. Further, we demonstrate that the loop symmetries themselves correspond to the creation, propagation and annihilation of fermions. Importantly, we note that these fermions, made from pairs of vortices, can be moved with no additional energy cost.
dc.description4 pages, 3 figures, Revised version, accepted to PRL
dc.identifierhttps://arxiv.org/abs/0804.2753
dc.identifierhttp://arxiv.org/abs/0804.2753
dc.identifierPhys.Rev.Lett.101:240404,2008
dc.identifierdoi:10.1103/PhysRevLett.101.240404
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215179
dc.subjectMesoscale and Nanoscale Physics
dc.titleTopological degeneracy and vortex manipulation in Kitaev's honeycomb model
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