Singularities in ground state fidelity and quantum phase transitions for the Kitaev model

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dc.creatorZhao, Jian-Hui
dc.creatorZhou, Huan-Qiang
dc.date2008-03-06
dc.date.accessioned2026-07-07T09:25:10Z
dc.date.available2026-07-07T09:25:10Z
dc.descriptionThe ground state fidelity per lattice site is shown to be able to detect quantum phase transitions for the Kitaev model on the honeycomb lattice, a prototypical example of quantum lattice systems with topological order. It is found that, in the thermodynamic limit, the ground state fidelity per lattice site is non-analytic at the phase boundaries: the second-order derivative of its logarithmic function with respect to a control parameter describing the interaction between neighboring spins is logarithmically divergent. A finite size scaling analysis is performed, which allows us to extract the correlation length critical exponent from the scaling behaviors of the ground state fidelity per lattice site.
dc.description4+ pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0803.0814
dc.identifierhttp://arxiv.org/abs/0803.0814
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156317
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleSingularities in ground state fidelity and quantum phase transitions for the Kitaev model
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