Landau Level Physics in a Quantum Well: new singular features in Magnetization and violations of de Haas - van Alphen periodicities

TL;DR

This paper reveals new singular features in magnetization and susceptibility in quantum wells and 3D systems under magnetic fields, challenging traditional de Haas-van Alphen periodicities and offering insights for quantum device design.

Contribution

It introduces analytical calculations showing novel singularities and corrections in magnetization due to Landau levels, quantum well width, and Zeeman effects, extending to interacting electron systems.

Findings

Discovery of new singular features in magnetization and susceptibility.

Identification of corrections to de Haas-van Alphen periods.

Prediction of magnetic response in interacting electron liquids.

Abstract

Analytical calculations based on a Landau Level (LL) picture are reported for an interface (with a finite-width Quantum Well (QW)) and for a fully three-dimensional charged quantum electronic system in an external magnetic field. They lead to a sequence of previously unnoticed singular features in global magnetization and magnetic susceptibility that lead to nontrivial corrections to the standard de Haas - van Alphen periods. Additional features due to Zeeman splitting are also reported (such as new energy minima that originate from the interplay of QW, Zeeman and LL Physics) that are possibly useful for the design of quantum devices. A corresponding calculation in a Composite Fermion picture leads to new predictions on magnetic response properties of a fully-interacting electron liquid in a finite-width interface.