Tight-binding study of bilayer graphene Josephson junctions

Abstract

Using highly efficient simulations of the tight-binding Bogoliubov-de Gennes model we solved self-consistently for the pair correlation and the Josephson current in a Superconducting-Bilayer graphene-Superconducting Josephson junction. Different doping levels for the non-superconducting link are considered in the short and long junction regime. Self-consistent results for the pair correlation and superconducting current resemble those reported previously for single layer graphene except in the Dirac point where remarkable differences in the proximity effect are found as well as a suppression of the superconducting current in long junction regime. Inversion symmetry is broken by considering a potential difference between the layers and we found that the supercurrent can be switched if junction length is larger than the Fermi length.

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Cited by in corpus (11)

• Electronic structure of graphene hexagonal flake subjected to triaxial stress
• Tight-binding description of intrinsic superconducting correlations in multilayer graphene
• Magnetic field oscillations of the critical current in long ballistic graphene Josephson junctions
• Efficient Chebyshev polynomial approach to quantum conductance calculations: Application to twisted bilayer graphene
• Disordered graphene Josephson junctions
• Kohn-Luttinger superconductivity in monolayer and bilayer semimetals with the Dirac spectrum
• Supercurrent reversal in Josephson junctions based on bilayer graphene flakes
• Superconducting current and proximity effect in ABA and ABC multilayer graphene Josephson junctions
• Anomalous superconductivity and superfluidity in repulsive fermion systems
• Spin relaxation, Josephson effect and Yu-Shiba-Rusinov states in superconducting bilayer graphene
• Josephson coupling between superconducting islands on single and bilayer graphene