Quantum and semiclassical study of magnetic anti-dots
Abstract
We study the energy level structure of two-dimensional charged particles in inhomogeneous magnetic fields. In particular, for magnetic anti-dots the magnetic field is zero inside the dot and constant outside. Such a device can be fabricated with present-day technology. We present detailed semiclassical studies of such magnetic anti-dot systems and provide a comparison with exact quantum calculations. In the semiclassical approach we apply the Berry-Tabor formula for the density of states and the Borh-Sommerfeld quantization rules. In both cases we found good agreement with the exact spectrum in the weak magnetic field limit. The energy spectrum for a given missing flux quantum is classified in six possible classes of orbits and summarized in a so-called phase diagram. We also investigate the current flow patterns of different quantum states and show the clear correspondence with classical trajectories.
Keywords
Cite
@article{arxiv.cond-mat/0406735,
title = {Quantum and semiclassical study of magnetic anti-dots},
author = {B. Kocsis and G. Palla and J. Cserti},
journal= {arXiv preprint arXiv:cond-mat/0406735},
year = {2007}
}
Comments
14 pages, 13 figures