Quantum Hall Conductivity in a Landau Type Model with a Realistic Geometry

TL;DR

This paper examines the quantum Hall effect using a Landau model that incorporates realistic experimental geometries, providing explicit calculations of Hall conductivity via the Kubo formula.

Contribution

It introduces a formalism that accounts for experimental and geometrical features in quantum Hall models, enabling explicit conductivity calculations.

Findings

Explicit Hall conductivity calculations from the model

Inclusion of realistic geometrical considerations

Enhanced understanding of quantum Hall experimental setups

Abstract

In this paper, we revisit some quantum mechanical aspects related to the Quantum Hall Effect. We consider a Landau type model, paying a special attention to the experimental and geometrical features of Quantum Hall experiments. The resulting formalism is then used to compute explicitely the Hall conductivity from a Kubo formula.