https://doi.org/10.1007/s100510170034
Energy gaps for fractional quantum Hall states described by a Chern-Simons composite fermion wavefunction
Department of Physics and Astronomy, University of
Missouri-Columbia, Columbia, Missouri 65211, USA
Corresponding author: a ciftjao@newton.physics.missouri.edu
Received:
9
March
2001
Published online: 15 October 2001
The Jain's composite fermion wavefunction has proven quite succesful to describe most of the fractional quantum Hall states. Its mathematical foundation lies in the Chern-Simons field theory for the electrons in the lowest Landau level, despite the fact that such wavefunction is different from a typical mean-field level Chern-Simons wavefunction. It is known that the energy excitation gaps for fractional Hall states described by Jain's composite fermion wavefunction cannot be calculated analytically. We note that analytic results for the energy excitation gaps of fractional Hall states described by a fermion Chern-Simons wavefunction are readily obtained by using a technique originating from nuclear matter studies. By adopting this technique to the fractional quantum Hall effect we obtained analytical results for the excitation energy gaps of all fractional Hall states described by a Chern-Simons wavefunction.
PACS: 73.43.-f – Quantum Hall effects / 73.21.-b – Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
