Anomalous Quantum Hall Effect on Sphere

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dc.creatorJellal, Ahmed
dc.date2007-09-26
dc.date2008-04-18
dc.date.accessioned2026-07-07T11:53:15Z
dc.date.available2026-07-07T11:53:15Z
dc.descriptionWe study the anomalous quantum Hall effect exhibited by the relativistic particles living on two-sphere S^2 and submitted to a magnetic monopole. We start by establishing a direct connection between the Dirac and Landau operators through the Pauli--Schrödinger Hamiltonian H_{s}^{SP}. This will be helpful in the sense that the Dirac eigenvalues and eigenfunctions will be easily derived. In analyzing H_{s}^{SP} spectrum, we show that there is a composite fermion nature supported by the presence of two effective magnetic fields. For the lowest Landau level, we argue that the basic physics of graphene is similar to that of two-dimensional electron gas, which is in agreement with the planar limit. For the higher Landau levels, we propose a SU(N) wavefunction for different filling factors that captures all symmetries. Focusing on the graphene case, i.e. N=4, we give different configurations those allowed to recover some known results.
dc.description23 pages, clarifications, references added, misprints corrected. Version to appear in NPB
dc.identifierhttps://arxiv.org/abs/0709.4126
dc.identifierhttp://arxiv.org/abs/0709.4126
dc.identifierNucl.Phys.B804:361-382,2008
dc.identifierdoi:10.1016/j.nuclphysb.2008.04.013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204471
dc.subjectHigh Energy Physics - Theory
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMathematical Physics
dc.titleAnomalous Quantum Hall Effect on Sphere
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