Fermi-sea-like correlations in a partially filled Landau level

TL;DR

This paper investigates the pair distribution function and static structure factor of composite fermions near half-filled Landau levels, revealing Fermi-sea-like correlations and surprising similarities between incompressible FQHE states and a Fermi sea.

Contribution

It provides the first detailed analysis of correlation functions in composite fermions, highlighting Fermi-sea-like behavior in incompressible quantum Hall states.

Findings

Evidence of 2k_F structure in composite fermions

Incompressible FQHE states resemble a Fermi sea more than electron-filled Landau levels

Strong correlations observed near half-filled Landau levels

Abstract

The pair distribution function and the static structure factor are computed for composite fermions. Clear and robust evidence for a $2k_F$ structure is seen in a range of filling factors in the vicinity of the half-filled Landau level. Surprisingly, it is found that filled Landau levels of composite fermions, i.e. incompressible FQHE states, bear a stronger resemblance to a Fermi sea than do filled Landau levels of electrons.