Aavishkar A. Patel

Publications (2)0 Total impact

• Article: Classical and quantum magneto-oscillations of current flow near a p-n junction in graphene

  Aavishkar A. Patel, Nathan Davies, Vadim Cheianov, Vladimir I. Fal'ko
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  ABSTRACT: The proposed semiclassical theory predicts two types of oscillations in the flow of current injected from a point source near a ballistic p-n junction in graphene in a strong magnetic field. One originates from the classical effect of bunching of cyclotron orbits of electrons passing back and forth across the p-n interface, which displays a pronounced dependence on the commensurability between the cyclotron radii in the n- and p-regions. The other effect is caused by the interference of monochromatic electron waves in p-n junctions with equal carrier densities on the two sides and it consists in magneto-oscillations in the current transmission through the interface with periodicity similar to Shubnikov-de Haas oscillations.
  06/2012;
• Source

  Available from: ArXiv

  Article: Skipping and snake orbits of electrons: Singularities and catastrophes

  Nathan Davies, Aavishkar A. Patel, Alberto Cortijo, Vadim Cheianov, Francisco Guinea, Vladimir I. Fal'ko
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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.
  Phys. Rev. B. 04/2012; 85(15).