In frame of general stastical mechanics approach applied to 2D metal bar we demonstrate the interrelationship between Landau diamagnetism, de Haas-van Alphen magnetization oscillations and the Integer Quantum Hall effect.
Cite
@article{arxiv.cond-mat/0703202,
title = {de Haas-van Alphen effect versus Integer Quantum Hall effect},
author = {V. P. Mineev},
journal= {arXiv preprint arXiv:cond-mat/0703202},
year = {2009}
}