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

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• Critical Josephson current in ballistic superconductor-graphene systems
• Detection of second-order topological superconductors by Josephson junctions
• Creation of spin-triplet Cooper pairs in the absence of magnetic ordering
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• Transport spectroscopy of induced superconductivity in the three-dimensional topological insulator HgTe
• Heat transport by Dirac fermions in normal/superconducting graphene junctions
• Selective focusing of electrons and holes in a graphene-based superconducting lens
• Thermal Transport Properties of Graphene-Based F/S/F Junctions
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• Analytical calculation of the excess current in the OTBK theory
• Subgap states in two dimensional spectroscopy of unconventional superconductors using graphene
• Long-Range Propagation and Interference of $d$-wave Superconducting Pairs in Graphene
• Resonant tunneling through superconducting double barrier structures in graphene
• Transport properties of spin-triplet superconducting monolayer $Mo{S}_2$
• Andreev Reflection and Klein Tunneling in High-Temperature Superconductor/Graphene Junctions
• Superconducting proximity effect in $d$-wave cuprate/ graphene heterostructures
• Spin-flip reflection at the normal metal-spin superconductor interface
• Thermoelectric processes of quantum normal-superconductor interfaces
• Directional electron-filtering at a superconductor-semiconductor interface
• Spin-triplet $f$-wave symmetry in superconducting monolayer $Mo{S}_2$
• Graphene Andreev Billiards
• Andreev tunnelling and Josephson current in light irradiated graphene
• Andreev and normal reflections in gapped bilayer graphene-superconductor junctions
• Tunneling conductance in strained graphene-based superconductor: Effect of asymmetric Weyl-Dirac fermions
• Quasiparticle cooling using a Topological insulator-Superconductor hybrid junction
• Tunable wavevector filtering in borophane based normal metal-barrier-normal metal junctions
• Pseudodiffusive transmission of nodal Dirac fermions through a clean d-wave superconductor
• Broken time-reversal symmetry detected by tunneling spectroscopy of superconducting Pd-doped CaAgP
• Transport through Nodal Surface Semimetal-Superconductor junction in absence/presence of light irradiation