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
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.
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