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Title: Caustic magneto-oscillations of snaking/skipping electron transport near magnetic and potential interfaces on graphene
Author: Davies, John Nathan Rhys Massheder
Awarding Body: Lancaster University
Current Institution: Lancaster University
Date of Award: 2013
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Near the sample edge, or a sharp magnetic field step the drift of two-dimensional (2D) electrons in a magnetic field has th'e 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 exceptional case, and extreme section of the butterfly bifurcation. Periodic appearance of singularities along the ±B-interface leads to the magneto-oscillations of non local conductance in multi-terminal electronic devices. We move onto propose a semi-classical theory that 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 the Shubnikov-de Haas oscillations.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available