Pfaffian and fragmented states at nu=5/2 in quantum Hall droplets

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dc.creatorSaarikoski, H.
dc.creatorTolo, E.
dc.creatorHarju, A.
dc.creatorRasanen, E.
dc.date2008-09-05
dc.date2008-10-22
dc.date.accessioned2026-07-07T10:19:39Z
dc.date.available2026-07-07T10:19:39Z
dc.descriptionWhen a gas of electrons is confined to two dimensions, application of a strong magnetic field may lead to startling phenomena such as emergence of electron pairing. According to a theory this manifests itself as appearance of the fractional quantum Hall effect with a quantized conductivity at an unusual half-integer nu=5/2 Landau level filling. Here we show that similar electron pairing may occur in quantum dots where the gas of electrons is trapped by external electric potentials into small quantum Hall droplets. However, we also find theoretical and experimental evidence that, depending on the shape of the external potential, the paired electron state can break down, which leads to a fragmentation of charge and spin densities into incompressible domains. The fragmentation of the quantum Hall states could be an issue in the proposed experiments that aim to probe for non-abelian quasi-particle characteristics of the nu=5/2 quantum Hall state.
dc.description9 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0809.1020
dc.identifierhttp://arxiv.org/abs/0809.1020
dc.identifierPhys. Rev. B 78, 195321 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.195321
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174587
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.titlePfaffian and fragmented states at nu=5/2 in quantum Hall droplets
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