Second generation of composite fermions and the self-similarity of the fractional quantum Hall effect

Goerbig, Mark O.; Lederer, P.; Morais Smith, Cristiane de

doi:10.1142/S0217979204026998

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Journal article

Second generation of composite fermions and the self-similarity of the fractional quantum Hall effect

Goerbig, Mark O. Département de Physique, Université de Fribourg, Switzerland - Laboratoire de Physique des Solides, Bât. 510 (associé au CNRS), Université Paris-Sud, France
Lederer, P. Laboratoire de Physique des Solides, Bât. 510 (associé au CNRS), Université Paris-Sud, France
Morais Smith, Cristiane de Département de Physique, Université de Fribourg, Switzerland - Institute for Theoretical Physics, University of Utrecht, The Netherlands

2004

Published in:

International Journal of Modern Physics B. - 2004, vol. 18, no. 27-29, p. 3549-3552

Quantum Hall effect

fermions in reduced dimensions

English A recently developed model of interacting composite fermions, is used to investigate different composite-fermion phases. Their interaction potential allows for the formation of both solid and new quantum-liquid phases, which are interpreted in terms of second-generation composite fermions and which may be responsible for the fractional quantum Hall states observed at unusual filling factors, such as ν=4/11. Projection of the composite-fermion dynamics to a single level, involved in the derivation of the Hamiltonian of interacting composite fermions, reveals the underlying self-similarity of the model.

Faculty

Faculté des sciences et de médecine

Department

Département de Physique

Language