In this article we consider a Bloch electron in a crystal lattice subject to slowy varying external magnetic fields. We offer an explanation of de Haas-van Alfven oscillations in terms of energy levels of approximate eigenfunctions for the magnetic Schrodinger operator by using a gaussian beam construction for a small enough magnetic field.
@article{arxiv.2401.15761,
title = {A Gaussian Beam Construction of de Haas-vanAlfven Resonances},
author = {Mouez Dimassi and Jean-Claude Guillot and James Ralston},
journal= {arXiv preprint arXiv:2401.15761},
year = {2024}
}
Comments
17 pages. Self-contained version with greater detail