Effects of interaction-induced second Landau level mixing in theν=1quantum Hall effect

Abstract

The work by Mandal and Jain [Solid State Commun. 118, 503 (2001)] suggests that interaction-induced mixing with the second composite fermion Landau level can lead to renormalization of the electron correlation function exponent in the fractional quantum Hall effect. In the work reported here, a similar mixing with the second electronic Landau level is studied in the $\ensuremath{\nu}=1$ integer case. The ground state is calculated by use of the Hartree\char21{}Fock algorithm, and the electron density and electron correlation function on the edge are calculated. It is shown that the interaction gives rise to oscillations in the density profile. In particular, a short range interaction gives a profile qualitatively similar to the results reported by Mandal and Jain. On the other hand, no renormalization of the correlation function exponent is found.