Numéro
J. Phys. IV France
Volume 131, December 2005
Page(s) 285 - 286
DOI https://doi.org/10.1051/jp4:2005131073
Publié en ligne 18 janvier 2006
International Workshop on Electronic Crystals
S. Brazovskii, P. Monceau and N. Kirova
J. Phys. IV France 131 (2005) 285-286

DOI: 10.1051/jp4:2005131073

Novel composite-fermion phases: Crystals, stripes, and higher generations

M.O. Goerbig1, P. Lederer2 and C. Morais Smith3

1  LPTHE, CNRS UMR 7589, Université Paris 6 et 7, 4 place Jussieu, 75252 Paris Cedex 05, France
2  LPS, CNRS UMR 8502, Université Paris-Sud, 91405 Orsay Cedex, France
3  Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, 3584 CE Utrecht, The Netherlands


Abstract
Residual interactions between composite fermions, the quasi-particles responsible for the fractional quantum Hall effect, may be neglected at the Landau-level filling factors $\nu=p/(2sp+1)$, at which most fractional quantum Hall states are observed. However, they become relevant at fillings in between states of this series. We have derived the form of the interaction potential of composite fermions within a recently developed Hamiltonian formalism, and we show how these residual interaction may give rise to novel phases, such as crystals and stripes of composite fermions, as well as higher-generation states. The latter may be responsible for a recently observed fractional quantum Hall effect at $\nu=4/11$.



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