Marcielow J. Callelero, Danilo M. Yanga
This paper theoretically investigates the single-particle tunneling current of Dirac electrons in graphene-based junctions. We use the tunneling Hamiltonian approach and strong coupling equations to calculate the single-particle tunneling for three configurations: normal metal-normal metal, normal metal-superconductor, and superconductor-superconductor junctions. Analytical solutions are obtained for the tunneling current by considering the following assumptions and limitations: tunneling primarily involves electrons near the Fermi surface, the system operates at low temperatures, and electron-optical phonon interaction dominates. Notably, our findings reveal that tunneling currents for the normal metal-superconductor and superconductor-superconductor junctions obey the law of conservation of energy and are self-consistent as we take the zero gap limit. © 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
Department of Physics, University of San Carlos, Talamban, Cebu City, 6000, Philippines
