Proximity-induced superconductivity in Landau-quantized graphene monolayers

We consider massless Dirac fermions in a graphene monolayer subject to both a perpendicular magnetic field \(B\) and a proximity-induced pairing gap \(\Delta\). When the chemical potential is at the Dirac point, our exact solution of the Bogoliubov-de Gennes equation yields \(\Delta\)-independent re...

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Bibliographic Details
Published in:arXiv.org 2017-10
Main Authors: Cohnitz, L, De Martino, A, Häusler, W, Egger, R
Format: Article
Language:English
Subjects:
Chemical potential
Eigenvectors
Electric fields
Fermions
Graphene
Monolayers
Organic chemistry
Superconductivity
Online Access:Get full text
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Summary:We consider massless Dirac fermions in a graphene monolayer subject to both a perpendicular magnetic field \(B\) and a proximity-induced pairing gap \(\Delta\). When the chemical potential is at the Dirac point, our exact solution of the Bogoliubov-de Gennes equation yields \(\Delta\)-independent relativistic Landau levels. Since eigenstates depend on \(\Delta\), 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.
ISSN:2331-8422
DOI:10.48550/arxiv.1708.02892