Abstract
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.
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Acknowledgements
The authors would like to extend their appreciation to the Research, Development, Extension, and Publication Office (RDEPO) of the University of San Carlos for their invaluable support throughout this research endeavor. MJC expresses gratitude for the financial assistance provided by the RDEPO, while DMY acknowledges the support of the University of San Carlos, Talamban Campus. The authors are truly grateful for the resources and opportunities provided by these institutions.
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Callelero, M.J., Yanga, D.M. Tunneling of Dirac Electrons in Graphene-Based Junction. J Supercond Nov Magn 36, 1829–1834 (2023). https://doi.org/10.1007/s10948-023-06634-0
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DOI: https://doi.org/10.1007/s10948-023-06634-0