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Proximity-induced superconductivity in Landau-quantized graphene monolayers

Cohnitz, L., De Martino, A., Häusler, W. and Egger, R. (2017). Proximity-induced superconductivity in Landau-quantized graphene monolayers. Physical review B: Condensed matter and materials physics, 96, 140506.. doi: 10.1103/PhysRevB.96.140506

Abstract

We consider massless Dirac fermions in a graphene monolayer in the ballistic limit, subject to both a perpendicular magnetic field B and a proximity-induced pairing gap Δ. When the chemical potential is at the Dirac point, our exact solution of the Bogoliubov–de Gennes equation yields Δ-independent relativistic Landau levels. Since eigenstates depend on Δ, many observables nevertheless are sensitive to pairing, e.g., the local density of states or the edge state spectrum. By solving the problem with an additional in-plane electric field, we also discuss how snake states are influenced by a pairing gap.

Publication Type: Article
Additional Information: Copyright American Physical Society, 2017.
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/18445
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