Relation between Hall resistance and the diamagnetic moment of Fermi electrons

TL;DR

This paper establishes a thermodynamic relation between Hall resistance and the diamagnetic moment of Fermi electrons, emphasizing the dependence on electron properties near the Fermi energy and exploring implications for modulated 2D electron systems.

Contribution

It introduces a thermodynamic framework linking Hall resistance to magnetic moments, highlighting the role of Fermi energy properties and analyzing electron transport via a Landauer-Buttiker perspective.

Findings

Hall resistance depends only on Fermi energy electron properties.

Relation between Hall resistance and diamagnetic moment derived.

Application to modulated 2D electron systems discussed.

Abstract

General thermodynamical arguments are used to relate the Hall current to the part of the magnetic moment originated in "macroscopic current loops". The Hall resistance is found to depend only on the electron properties in the vicinity of the Fermi energy, which is the essential advantage of the presented treatment. The obtained relation is analyzed by using Landauer-Buttiker-like view to the electron transport. As one of the possible application the Hall resistance of the periodically modulated two-dimensional electron system in strong magnetic fields is briefly discussed.