Effects of interaction induced second Landau level mixing in the nu=1 quantum Hall effect

TL;DR

This paper investigates how interaction-induced mixing with the second electronic Landau level affects the nu=1 integer quantum Hall state, finding density oscillations but no change in the correlation function exponent.

Contribution

It provides a detailed analysis of second Landau level mixing effects in the integer quantum Hall regime using Hartree-Fock calculations.

Findings

Interaction induces density oscillations at the edge.

Short-range interactions produce density profiles similar to previous studies.

No renormalization of the correlation function exponent was observed.

Abstract

Work by Mandal and Jain [S. S. Mandal and J. K. 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 nu=1 integer case. The ground state is calculated by use of the Hartree-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.