Particle-Flux Separation of Electrons in the Half-Filled Landau Level: Chargeon-Fluxon Approach

TL;DR

This paper investigates the particle-flux separation in the half-filled Landau level using a nonperturbative approach, demonstrating the stability of composite fermions as quasiexcitations due to electron interactions, relevant for the fractional quantum Hall effect.

Contribution

It introduces a nonperturbative analysis of particle-flux separation in Chern-Simons gauge theory, highlighting the stability of composite fermions in the half-filled Landau level.

Findings

Composite fermions are stable quasiexcitations at low temperature.

Electron-electron repulsion stabilizes the particle-flux separation.

The study advances understanding of the fractional quantum Hall effect.

Abstract

Mechanism of the particle-flux separation in the Chern-Simons gauge theory coupled with nonrelativistic fermions is studied in a nonperturbative method. This problem is very important for the composite fermion approach to the fractional quantum Hall effect. We show that due to repulsive interactions between electrons the composite fermions are stable quasiexcitations in the half-filled Landau level at low temperature.