Andreev reflection in graphene nanoribbons

Abstract

We study Andreev reflection in graphene nanoribbon/superconductor hybrid junctions. By using a tight-binding approach and the scattering formalism we show that finite-size effects lead to notable differences with respect to the bulk graphene case. At subgap voltages, conservation of pseudoparity, a quantum number characterizing the ribbon states, yields either a suppression of Andreev reflection when the ribbon has an even number of sites in the transverse direction or perfect Andreev reflection when the ribbon has an odd number of sites. In the former case the suppression of Andreev reflection induces an insulating behavior even when the junction is biased; electron conduction can however be restored by applying a gate voltage.

6 pages, 6 figures

References in corpus (47)

• The electronic properties of graphene
• Energy Band Gap Engineering of Graphene Nanoribbons
• Energy Gaps in Graphene Nanoribbons
• Chiral tunneling and the Klein paradox in graphene
• Valley filter and valley valve in graphene
• Graphene Nano-Ribbon Electronics
• Room Temperature All Semiconducting sub-10nm Graphene Nanoribbon Field-Effect Transistors
• Andreev reflection and Klein tunneling in graphene
• Bipolar supercurrent in graphene
• Specular Andreev reflection in graphene
• Boundary conditions for Dirac fermions on a terminated honeycomb lattice
• Superconducting states of pure and doped graphene
• Josephson effect in ballistic graphene
• Josephson Current and Multiple Andreev Reflections in Graphene SNS Junctions
• Conductance Quantization in Graphene Nanoribbons
• Detection of valley polarization in graphene by a superconducting contact
• Tunneling conductance of graphene NIS junctions
• Phase coherent transport in hybrid superconducting nanostructures
• Theory of the valley-valve effect in graphene nanoribbons
• Crossed Andreev reflection in a graphene bipolar transistor
• Tunneling conductance in $s$- and d-wave superconductor-graphene junctions: Extended Blonder-Tinkham-Klapwijk formalism
• Proximity Induced Superconductivity and Multiple Andreev Reflections in Few-Layer-Graphene
• Dirac-fermions and conductance-oscillations in (s,d)-wave superconductor/normal graphene junctions
• Self-consistent solution for proximity effect and Josephson current in ballistic graphene SNS Josephson junctions
• A supercurrent switch in graphene $\pi$-junctions
• Excitation gap of a graphene channel with superconducting boundaries
• Andreev-Klein reflection in graphene ferromagnet-superconductor junctions
• Josephson effect in graphene SBS junctions
• Microscopic theory of the proximity effect in superconductor-graphene nanostructures
• Detecting entangled states in graphene via crossed Andreev reflection
• Spectrum of $\pi$-electrons in Graphene As a Macromolecule
• Spectrum of $\pi$ Electrons in Graphene as an Alternant Macromolecule and Its Specific Features in Quantum Conductance
• Pseudo-diffusive magnetotransport in graphene
• Theory of tunneling conductance of graphene NIS junctions
• Subharmonic gap structure in short ballistic graphene junctions
• Theory of superconductivity of carbon nanotubes and graphene
• Josephson effect in mesoscopic graphene strips with finite width
• Reentrance effect in a graphene n-p-n junction coupled to a superconductor
• Transport through evanescent waves in ballistic graphene quantum dots
• Andreev reflection in bilayer graphene
• Correspondence between Andreev reflection and Klein tunneling in bipolar graphene
• Pseudo-diffusive conduction at the Dirac point of a normal-superconductor junction in graphene
• Heat transport by Dirac fermions in normal/superconducting graphene junctions
• Pure spin current in graphene NS structures
• Cooper-pair propagation and superconducting correlations in graphene
• Nonequilibrium valley polarization in graphene nanoconstrictions
• Fine structure of the local pseudogap and Fano effect for superconducting electrons near a zigzag graphene edge

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• Giant spin orbit interaction due to rotating magnetic fields in graphene nanoribbons
• Josephson current in graphene: the role of unconventional pairing symmetries
• Conformal mapping and shot noise in graphene
• Gauge fields and interferometry in folded graphene
• The Aharonov-Bohm effect in graphene rings
• Critical Josephson current in ballistic superconductor-graphene systems
• Valley- and spin-switch effects in molybdenum disulfide superconducting spin valve
• Dirac Green's function approach to graphene-superconductor junctions with well defined edges
• Tunneling conductance of graphene ferromagnet-insulator-superconductor junctions
• How to Distinguish between Specular and Retroconfigurations for Andreev Reflection in Graphene Rings
• Spin-filtered and Spatially Distinguishable Crossed Andreev Reflection in a Silicene-Superconductor Junction
• Proximity induced interface bound states in superconductor-graphene junctions
• Tunable Band Structure Effects on Ballistic Transport in Graphene Nanoribbons
• Enhanced Specular Andreev reflection in bilayer graphene
• The influence of anti-chiral edge states on Andreev reflection in graphene-superconductor junction
• A Gate-Induced Switch in Zigzag Graphene Naoribbons and Charging Effects
• Nonlocal superconducting correlations in graphene in the quantum Hall regime
• Unimpeded tunneling in graphene nanoribbons
• Even-odd effects in NSN scattering problems: Application to graphene nanoribbons
• Crossed Andreev reflection versus electron transfer in graphene nanoribbons
• Probing valley filtering effect by Andreev reflection in zigzag graphene nanoribbon
• Spin-flip reflection at the normal metal-spin superconductor interface
• Theoretical Study on Transport Properties of Normal Metal - Zigzag Graphene Nanoribbon - Normal Metal Junctions
• Andreev reflection in a Y-shaped graphene-superconductor device
• Supercurrent reversal in Josephson junctions based on bilayer graphene flakes
• Josephson effect in silicene-based SNS Josephson junction: Andreev reflection and free energy
• Nonlinear Transport through ultra-narrow Zigzag Graphene Nanoribbons: non-equilibrium charge and bond currents