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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


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
Date available in CRO: 27 Oct 2017 17:26
Date deposited: 27 October 2017
Date of acceptance: 9 August 2017
Date of first online publication: 25 October 2017
Text - Accepted Version
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