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Skipping and snake orbits of electrons: Singularities and catastrophes

Davies, Nathan and Patel, Aavishkar A. and Cortijo Fernandez, Alberto and Cheianov, Vadim and Guinea, Francisco and Falko, Vladimir (2012) Skipping and snake orbits of electrons: Singularities and catastrophes. Physical Review B: Condensed Matter, 85 (15). -. ISSN 1550-235X

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    Abstract

    Near the sample edge, or a sharp magnetic field step, the drift of two-dimensional (2D) electrons in a magnetic field has the form of skipping and snake orbits. We show that families of skipping and snake orbits of electrons injected at one point inside a 2D metal generically exhibit caustics folds, cusps, and cusp triplets, and, in one exceptional case, an extreme section of the butterfly bifurcation. Periodic appearance of singularities along the +/- B interface leads to the magneto-oscillations of nonlocal conductance in multiterminal electronic devices.

    Item Type: Article
    Journal or Publication Title: Physical Review B: Condensed Matter
    Additional Information: ©2012 American Physical Society
    Subjects: Q Science > QC Physics
    Departments: Faculty of Science and Technology > Physics
    ID Code: 55533
    Deposited By: ep_importer_pure
    Deposited On: 29 Jun 2012 14:18
    Refereed?: Yes
    Published?: Published
    Last Modified: 09 Apr 2014 23:43
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/55533

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