Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-10-26
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 2 figures
Scientific paper
10.1103/PhysRevB.79.033404
We present an exact calculation of the effective geometry-induced quantum potential for a particle confined on a helicoidal ribbon. This potential leads to the appearance of localized states at the rim of the helicoid. In this geometry the twist of the ribbon plays the role of an effective transverse electric field on the surface and thus this is reminiscent of the quantum Hall effect.
Atanasov Victor
Dandoloff Rossen
Saxena Avadh
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