On the self-similarity in quantum Hall systems

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dc.creatorGoerbig, M. O.
dc.creatorLederer, P.
dc.creatorSmith, C. Morais
dc.date2004-01-19
dc.date2004-08-26
dc.date.accessioned2026-07-07T02:55:58Z
dc.date.available2026-07-07T02:55:58Z
dc.descriptionThe Hall-resistance curve of a two-dimensional electron system in the presence of a strong perpendicular magnetic field is an example of self-similarity. It reveals plateaus at low temperatures and has a fractal structure. We show that this fractal structure emerges naturally in the Hamiltonian formulation of composite fermions. After a set of transformations on the electronic model, we show that the model, which describes interacting composite fermions in a partially filled energy level, is self-similar. This mathematical property allows for the construction of a basis of higher generations of composite fermions. The collective-excitation dispersion of the recently observed 4/11 fractional-quantum-Hall state is discussed within the present formalism.
dc.description7 pages, 4 figures; version accepted for publication in Europhys. Lett., new version contains energy calculations for collective excitations of the 4/11 state
dc.identifierhttps://arxiv.org/abs/cond-mat/0401340
dc.identifierhttp://arxiv.org/abs/cond-mat/0401340
dc.identifierEurophys. Lett. 68, 72 (2004)
dc.identifierdoi:10.1209/epl/i2004-10215-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23142
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.titleOn the self-similarity in quantum Hall systems
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