Composite Fermions with Orbital Magnetization

TL;DR

This paper improves the theoretical description of quantum Hall systems at half filling by incorporating orbital magnetization into the Fermion Chern-Simons framework, accurately capturing magnetic response in the small electron mass limit.

Contribution

It introduces a novel approach attaching orbital magnetization to fermions, refining the Chern-Simons Fermi liquid theory for quantum Hall states.

Findings

Correctly predicts the $m_b$ dependence of responses as $m_b o 0$

Separates magnetization and transport contributions to current

Provides a more accurate static and dynamic response model

Abstract

For quantum Hall systems, in the limit of large magnetic field (or equivalently small electron band mass $m_b$), the static response of electrons to a spatially varying magnetic field is largely determined by kinetic energy considerations. This response is not correctly given in existing approximations based on the Fermion Chern-Simons theory of the partially filled Landau level. We remedy this problem by attaching an orbital magnetization to each fermion to separate the current into magnetization and transport contributions, associated with the cyclotron and guiding center motions respectively. This leads to a Chern-Simons Fermi liquid description of the $\nu=\frac{1}{2m}$ state which correctly predicts the $m_b$ dependence of the static and dynamic response in the limit $m_b \rightarrow 0$.