Electronic correlation in the quantum Hall regime

TL;DR

This paper explores the complex electronic interactions in two-dimensional systems under high magnetic fields, focusing on the quantum Hall effect, including spin effects and thermodynamics at specific filling factors.

Contribution

It provides a detailed analysis of the incompressible ground state and excitations in the quantum Hall regime, emphasizing the role of spin and thermodynamic properties.

Findings

Identification of the incompressible ground state at fractional filling factors

Analysis of spin effects in quantum Hall systems

Thermodynamic behavior near filling factor one

Abstract

Two-dimensional interacting electron systems become strongly correlated if the electrons are subject to a perpendicular high magnetic field. After introducing the physics of the quantum Hall regime the incompressible many- particle ground state and its excitations are studied in detail at fractional filling factors for spin-polarized electrons. The spin degree of freedom whose importance was shown in recent experiments is considered by studying the thermodynamics at filling factor one and near one.