Quantum Hall Circle

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dc.creatorBergholtz, E. J.
dc.creatorKarlhede, A.
dc.date2009-02-01
dc.date2009-04-21
dc.date.accessioned2026-07-07T13:06:15Z
dc.date.available2026-07-07T13:06:15Z
dc.descriptionWe consider spin-polarized electrons in a single Landau level on a cylinder as the circumference of the cylinder goes to infinity. This gives a model of interacting electrons on a circle where the momenta of the particles are restricted and there is no kinetic energy. Quantum Hall states are exact ground states for appropriate short range interactions, and there is a gap to excitations. These states develop adiabatically from this one-dimensional quantum Hall circle to the bulk quantum Hall states and further on into the Tao-Thouless states as the circumference goes to zero. For low filling fractions a gapless state is formed which we suggest is connected to the Wigner crystal expected in the bulk.
dc.description12 pages, published
dc.identifierhttps://arxiv.org/abs/0902.0167
dc.identifierhttp://arxiv.org/abs/0902.0167
dc.identifierJ. Stat. Mech. (2009) P04015
dc.identifierdoi:10.1088/1742-5468/2009/04/P04015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227722
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.titleQuantum Hall Circle
dc.typetext

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