We use density-functional methods to study the effects of an external magnetic field on two-dimensional quantum dots with a rectangular hard-wall confining potential. The increasing magnetic field leads to spin polarization and formation of a highly inhomogeneous maximum-density droplet at the predicted magnetic field strength. At higher fields, we find an oscillating behavior in the electron density and in the magnetization of the dot. We identify a rich variety of phenomena behind the periodicity and analyze the complicated many-electron dynamics, which is shown to be highly dependent on the shape of the quantum dot.
@article{arxiv.cond-mat/0311639,
title = {Rectangular quantum dots in high magnetic fields},
author = {E. Räsänen and A. Harju and M. J. Puska and R. M. Nieminen},
journal= {arXiv preprint arXiv:cond-mat/0311639},
year = {2009}
}