Skipping and snake orbits of electrons: singularities and catastrophes

Details Skipping and snake orbits of electrons: singularities and catastrophes Skipping and snake orbits of electrons: singularities and catastrophes

2011-07-24

arxiv.org/abs/1107.4738v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures

Scientific paper

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

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