Perturbative study of the Kitaev model with spontaneous time-reversal symmetry breaking

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dc.creatorDusuel, S.
dc.creatorSchmidt, K. P.
dc.creatorVidal, J.
dc.creatorZaffino, R. L.
dc.date2008-04-30
dc.date2008-09-08
dc.date.accessioned2026-07-07T10:00:54Z
dc.date.available2026-07-07T10:00:54Z
dc.descriptionWe analyze the Kitaev model on the triangle-honeycomb lattice whose ground state has recently been shown to be a chiral spin liquid. We consider two perturbative expansions: the isolated-dimer limit containing Abelian anyons and the isolated-triangle limit. In the former case, we derive the low-energy effective theory and discuss the role played by multi-plaquette interactions. In this phase, we also compute the spin-spin correlation functions for any vortex configuration. In the isolated-triangle limit, we show that the effective theory is, at lowest nontrivial order, the Kitaev honeycomb model at the isotropic point. We also compute the next-order correction which opens a gap and yields non-Abelian anyons.
dc.description7 pages, 4 figures, published version
dc.identifierhttps://arxiv.org/abs/0804.4775
dc.identifierhttp://arxiv.org/abs/0804.4775
dc.identifierPhys. Rev. B 78, 125102 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.125102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168461
dc.subjectOther Condensed Matter
dc.subjectQuantum Physics
dc.titlePerturbative study of the Kitaev model with spontaneous time-reversal symmetry breaking
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