Quantum and semiclassical study of magnetic anti-dots

Details Quantum and semiclassical study of magnetic anti-dots Quantum and semiclassical study of magnetic anti-dots

2004-06-30

arxiv.org/abs/cond-mat/0406735v2

Physical Review B 71, 075331 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

14 pages, 13 figures

Scientific paper

10.1103/PhysRevB.71.075331

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.

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