Coherence of Currents in Mesoscopic Cylinders

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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17 pages, Latex, 8 figures available on request, to be published in Z.Physik B

Scientific paper

10.1007/s002570050338

The persistent currents driven by the pure Aharonov-Bohm type magnetic field in mesoscopic normal metal or semiconducting cylinders are studied. A two-dimensional (2D) Fermi surfaces are characterized by four parameters. Several conditions for the coherence and enhancement of currents are discussed. These results are then generalized to a three-dimensional (3D) thin-walled cylinder to show that under certain geometric conditions on the Fermi surface, a novel effect - the appearance of spontaneous currents is predicted.

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