Composite fermions in the half-filled lowest Landau level: a macroscopic justification

dc.creatorEvers, F.
dc.date1999-04-01
dc.date.accessioned2026-07-25T23:47:49Z
dc.descriptionAn effective Hamiltonian for spinless electrons in the lowest Landau level (LLL) close to half filling is derived. As opposed to the treatment in standard Chern-Simons theories (CS) we first project to the LLL and only then apply a CS-transformation on the Hamiltonian. The transformed field operators act in the lowest Landau level only {\it and} have fermionic commutation relations for small wavenumbers ignoring gauge field fluctuations. When acting on the Hamiltonian at half filling the {\it gauge transformation removes the monopole term in the interaction and does not eliminate the magnetic field.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/9904017
dc.identifierhttp://arxiv.org/abs/cond-mat/9904017
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/101502
dc.subjectMesoscale and Nanoscale Physics
dc.titleComposite fermions in the half-filled lowest Landau level: a macroscopic justification
dc.typetext

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