Quantum and semiclassical study of magnetic anti-dots

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dc.creatorKocsis, B.
dc.creatorPalla, G.
dc.creatorCserti, J.
dc.date2004-06-30
dc.date2004-07-09
dc.date.accessioned2026-07-07T06:24:44Z
dc.date.available2026-07-07T06:24:44Z
dc.descriptionWe 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.
dc.description14 pages, 13 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0406735
dc.identifierhttp://arxiv.org/abs/cond-mat/0406735
dc.identifierPhysical Review B 71, 075331 (2005)
dc.identifierdoi:10.1103/PhysRevB.71.075331
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96645
dc.subjectMesoscale and Nanoscale Physics
dc.titleQuantum and semiclassical study of magnetic anti-dots
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