Microscopic analytical theory of a correlated, two-dimensional N-electron gas in a magnetic field

TL;DR

This paper develops a microscopic analytical theory for a two-dimensional N-electron gas in a magnetic field, accounting for strong interactions and Landau levels, with implications for Quantum Hall Effects.

Contribution

It introduces a comprehensive analytical framework that includes all Landau levels and arbitrary electron interactions, advancing understanding of correlated 2D electron systems.

Findings

The theory models strongly interacting electrons in 2D magnetic fields.

It suggests a link between the model and Quantum Hall phenomena.

All Landau levels are incorporated implicitly.

Abstract

We present a microscopic, analytical theory describing a confined N-electron gas in two dimensions subject to an external magnetic field. The number of electrons N and strength of the electron-electron interaction can be arbitrarily large, and all Landau levels are included implicitly. A possible connection with the Integer and Fractional Quantum Hall Effects is proposed.