Laughlin states in higher Landau levels

Abstract

We propose a procedure for determining the pair-correlation function and the energy for the higher-Landau-level generalization of the incompressible quantum fluid states proposed by Laughlin [Phys. Rev. Lett. 50, 1395 ((1983)]. On the basis of explicit calculations for Landau-level filling factors $\nu =\frac{1}{3}$ and $\nu =\frac{1}{5}$, we conclude that the fractional quantum Hall effect is not restricted to the lowest-orbital Landau level.