Tunneling conductance in $s$- and d-wave superconductor-graphene junctions: Extended Blonder-Tinkham-Klapwijk formalism

Abstract

We investigate the conductance spectra of a normal/superconductor graphene junction using the extended Blonder-Tinkham-Klapwijk formalism, considering pairing potentials that are both conventional (isotropic s-wave) and unconventional (anisotropic d-wave). In particular, we study the full crossover from normal to specular Andreev reflection without restricting ourselves to special limits and approximations, thus expanding results obtained in previous work. In addition, we investigate in detail how the conductance spectra are affected if it is possible to induce an unconventional pairing symmetry in graphene, for instance a d-wave order parameter. We also discuss the recently reported conductance-oscillations that take place in normal/superconductor graphene junctions, providing both analytical and numerical results.

14 pages, 16 figures. High-resolution figures available in the published version

References in corpus (5)

• Electric Field Effect in Atomically Thin Carbon Films
• Bipolar supercurrent in graphene
• Tunneling conductance of graphene NIS junctions
• Dirac-fermions and conductance-oscillations in (s,d)-wave superconductor/normal graphene junctions
• Quantum criticality of d-wave quasiparticles and superconducting phase fluctuations

Cited by in corpus (5)

• A supercurrent switch in graphene $\pi$-junctions
• Andreev reflection in graphene nanoribbons
• Heat transport by Dirac fermions in normal/superconducting graphene junctions
• Analytical calculation of the excess current in the OTBK theory
• Graphene Andreev Billiards