Microscopic origin of the next generation fractional quantum Hall effect

TL;DR

This paper explains the origin of new fractional quantum Hall states, like 4/11 and 5/13, as a fractional quantum Hall effect of composite fermions, extending the understanding beyond traditional sequences.

Contribution

It introduces a theoretical framework describing the next generation fractional quantum Hall states as fractional effects of composite fermions, addressing previously unexplained fractions.

Findings

Accurately describes new fractions as fractional quantum Hall states of composite fermions.

Extends the composite fermion theory to include fractions beyond traditional sequences.

Provides a unified understanding of observed and novel fractional quantum Hall states.

Abstract

Most of the fractions observed to date belong to the sequences $\nu=n/(2pn\pm 1)$ and $\nu=1-n/(2pn\pm 1)$, $n$ and $p$ integers, understood as the familiar {\em integral} quantum Hall effect of composite fermions. These sequences fail to accommodate, however, many fractions such as $\nu=4/11$ and 5/13, discovered recently in ultra-high mobility samples at very low temperatures. We show that these "next generation" fractional quantum Hall states are accurately described as the {\em fractional} quantum Hall effect of composite fermions.