This article has an erratum: [erratum]
Volume 63, Number 2, July 2003
|Page(s)||159 - 165|
|Published online||01 November 2003|
Vorticity quantum numbers for confined electrons
Afdeling Kwantumchemie, Katholieke Universiteit
Leuven Celestijnenlaan 200F, B-3001 Leuven, Belgium
2 IMEC-Interuniversity Microelectronics Center - Kapeldreef 75 B-3001 Leuven, Belgium
3 Laboratorium voor Vaste-Stoffysica en Magnetisme, Katholieke Universiteit Leuven Celestijnenlaan 200D, B-3001 Leuven, Belgium
Accepted: 12 May 2003
The eigenstates of a confined particle in an applied magnetic field are characterized by vorticity quantum numbers, defined in a conventional way as gradient of phase integrals on the contour along the boundary line of the sample. The energy spectrum of the problem can be rationalized in terms of diabatic states corresponding to definite vorticity numbers in the whole range of applied fields. The vorticity number of a given state equals the sum of winding numbers of separate, spatially resolved vortices. The vortex patterns evolution shows some surprising similarities with mesoscopic superconductors.
PACS: 03.65.-w – Quantum mechanics / 03.65.Vf – Phases: geometric; dynamic or topological (quantum theory)
© EDP Sciences, 2003
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