Composite fermion theory of collective excitations in fractional quantum Hall effect

TL;DR

This paper develops computational techniques to analyze collective excitations in fractional quantum Hall states, revealing new structures such as multiple minima in the dispersion at filling fraction 1/3, with improved energy estimates.

Contribution

It introduces methods for calculating collective mode dispersions at various filling fractions, uncovering new features and more accurate energy minima in fractional quantum Hall systems.

Findings

Multiple minima in the collective mode dispersion at 1/3 filling

Significantly lower energy of the principal minimum than previous estimates

Enhanced understanding of collective excitations in fractional quantum Hall states

Abstract

The low energy neutral excitations of incompressible fractional quantum Hall states are called collective modes or magnetic excitons. This work develops techniques for computing their dispersion at general filling fractions for reasonably large systems. New structure is revealed; in particular, the collective mode at 1/3 is found to possess several minima, with the energy of the principal minimum significantly smaller than the earlier estimate. \pacs{73.40.Hm, 73.20.Dx, 73.20.Mf}