Midgap spectrum of the fermion-vortex system

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dc.creatorSeradjeh, B.
dc.date2008-07-03
dc.date.accessioned2026-07-07T10:04:49Z
dc.date.available2026-07-07T10:04:49Z
dc.descriptionI study the midgap spectrum of the fermion-vortex system in two spatial dimensions. The existence of bound states, in addition to the zero modes found by Jackiw and Rossi, is established. For a singly quantized vortex, I present complete analytical solutions in terms of generalized Laguerre polynomials in the opposite limits of vanishing and large vortex core size. There is an infinite number of such bound states, with a spectrum that is, when squared, given by, respectively, the Coulomb potential and the isotropic harmonic oscillator. Possible experimental signatures of this spectrum in condensed-matter realizations of the system are pointed out.
dc.description10 pages, no figures
dc.identifierhttps://arxiv.org/abs/0807.0618
dc.identifierhttp://arxiv.org/abs/0807.0618
dc.identifierNuclear Physics B 805, 182 (2008).
dc.identifierdoi:10.1016/j.nuclphysb.2008.07.011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169816
dc.subjectStrongly Correlated Electrons
dc.subjectMesoscale and Nanoscale Physics
dc.subjectSuperconductivity
dc.titleMidgap spectrum of the fermion-vortex system
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