Geometry induced charge separation on a helicoidal ribbon

2008/10/26 by Victor Atanasov, Rossen Dandoloff, Avadh Saxena · 1 citation
Physics and Astronomy · #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.79.033404

4 pages, 2 figures

arxiv created 2008/10/26 · arxiv updated 2017/02/21

Abstract

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.

Cited by

• Phase-space structure and nonlinear dynamics of a charged particle on a helicoidal manifold under a magnetic field

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