Aspects of noncommutative descriptions of planar systems in high magnetic fields

TL;DR

This paper explores the use of noncommutative Chern-Simons theory as an effective model for planar condensed matter systems under strong magnetic fields, providing alternative justifications and potential extensions.

Contribution

It offers a new perspective and justification for applying noncommutative Chern-Simons theory to describe quantum Hall and similar systems in high magnetic fields.

Findings

Provides an alternative justification for noncommutative descriptions.

Extends the approach to other planar systems with uniform magnetic fields.

Discusses implications for modeling quantum Hall effects.

Abstract

We study some aspects of recent proposals to use the noncommutative Chern-Simons theory as an effective description of some planar condensed matter models in strong magnetic fields, such as the Quantum Hall Effect. We present an alternative justification for such a description, which may be extended to other planar systems where a uniform magnetic field is present.