Emergent Fermions and Anyons in the Kitaev Model

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dc.creatorSchmidt, K. P.
dc.creatorDusuel, S.
dc.creatorVidal, J.
dc.date2007-09-19
dc.date2008-02-11
dc.date.accessioned2026-07-07T09:36:48Z
dc.date.available2026-07-07T09:36:48Z
dc.descriptionWe study the gapped phase of the Kitaev model on the honeycomb lattice using perturbative continuous unitary transformations. The effective low-energy Hamiltonian is found to be an extended toric code with interacting anyons. High-energy excitations are emerging free fermions which are composed of hardcore bosons with an attached string of spin operators. The excitation spectrum is mapped onto that of a single particle hopping on a square lattice in a magnetic field. We also illustrate how to compute correlation functions in this framework. The present approach yields analytical perturbative results in the thermodynamical limit without using the Majorana or the Jordan-Wigner fermionization initially proposed to solve this problem.
dc.description4 pages, 5 figures, published version
dc.identifierhttps://arxiv.org/abs/0709.3017
dc.identifierhttp://arxiv.org/abs/0709.3017
dc.identifierPhys. Rev. Lett. 100, 057208 (2008)
dc.identifierdoi:10.1103/PhysRevLett.100.057208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160245
dc.subjectOther Condensed Matter
dc.subjectQuantum Physics
dc.titleEmergent Fermions and Anyons in the Kitaev Model
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