Quantum transport through a graphene nanoribbon-superconductor junction

Abstract

We study the electron transport through a graphene nanoribbon-superconductor junction. Both zigzag and armchair edge graphene nanoribbons are considered, and the effects of the magnetic field and disorder on the transport property are investigated. By using the tight-binding model and the non-equilibrium Green's function method, the expressions of the current, conductance, normal tunneling coefficient, and Andreev reflection coefficient are obtained. For a clean system and at zero magnetic field, the linear conductance increases approximatively in a linear fashion with the on-site energy. In the presence of a magnetic field and a moderate disorder, the linear conductance exhibits plateau structures for both armchair and zigzag edges. The plateau values increase with the width of the graphene ribbon. With a wide sample width, a saturated plateau value of $|\nu |e^2/h$ emerges at the filling factor $\nu$. For a small filling factor, the conductance can reach the saturated value at a small width, but for a high filling factor, it requires to have a quite wide sample width to reach the saturated value. In particular, the Andreev reflection coefficient is always at 0.5 after reaching the saturated value, independent of any system parameters. In addition, we also consider the finite bias case, in which the Andreev reflection coefficient and normal tunneling coefficient are studied.

15 pages, 9 figures

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• Bipolar supercurrent in graphene
• Specular Andreev reflection in graphene
• Phase Coherent Transport of Charges in Graphene Quantum Billiard
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• Excitation gap of a graphene channel with superconducting boundaries
• Andreev reflection in graphene nanoribbons
• Josephson effect in graphene SBS junctions
• Microscopic theory of the proximity effect in superconductor-graphene nanostructures
• Subharmonic gap structure in short ballistic graphene junctions
• Disorder Effects in the Quantum Hall Effect of Graphene p-n Junctions
• Pure spin current in graphene NS structures
• Critical currents in graphene Josephson junctions
• A variant transfer matrix method suitable for transport through multi-probe systems

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