Fidelity susceptibility and long-range correlation in the Kitaev honeycomb model

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dc.creatorYang, Shuo
dc.creatorGu, Shi-Jian
dc.creatorSun, Chang-Pu
dc.creatorLin, Hai-Qing
dc.date2008-03-09
dc.date2008-07-03
dc.date.accessioned2026-07-07T09:47:57Z
dc.date.available2026-07-07T09:47:57Z
dc.descriptionWe study exactly both the ground-state fidelity susceptibility and bond-bond correlation function in the Kitaev honeycomb model. Our results show that the fidelity susceptibility can be used to identify the topological phase transition from a gapped A phase with Abelian anyon excitations to a gapless B phase with non-Abelian anyon excitations. We also find that the bond-bond correlation function decays exponentially in the gapped phase, but algebraically in the gapless phase. For the former case, the correlation length is found to be $1/ξ=2\sinh^{-1}[\sqrt{2J_z -1}/(1-J_z)]$, which diverges around the critical point $J_z=(1/2)^+$.
dc.description7 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0803.1292
dc.identifierhttp://arxiv.org/abs/0803.1292
dc.identifierPhys. Rev. A 78, 012304 (2008)
dc.identifierdoi:10.1103/PhysRevA.78.012304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164036
dc.subjectQuantum Physics
dc.subjectStrongly Correlated Electrons
dc.titleFidelity susceptibility and long-range correlation in the Kitaev honeycomb model
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