Triplet proximity effect and odd-frequency pairing in graphene

Abstract

We study the interplay between proximity-induced superconductivity and ferromagnetism in graphene by self-consistently solving the Bogoliubov-de Gennes equations on the honeycomb lattice. We find that a strong triplet proximity effect is generated in graphene, leading to odd-frequency pairing correlations. These odd-frequency correlations are clearly manifested in the local density of states of the graphene sheet, which can be probed via STM-measurements. Motivated by recent experiments on S$\mid$N$\mid$S graphene Josephson junctions, we also study the spectrum of Andreev-bound states formed in the normal region due to the proximity effect. Our results may be useful for interpreting spectroscopic data and can also serve as a guideline for future experiments.

4 pages, 3 figures. Submitted to Physical Review.

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Cited by in corpus (12)

• Topological insulators and superconductors
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Proximity coupling in superconductor-graphene heterostructures
• Spin-controlled superconductivity and tunable triplet correlations in graphene nanostructures
• Efficient Numerical Self-consistent Mean-field Approach for Fermionic Many-body Systems by Polynomial Expansion on Spectral Density
• Planar graphene-NbSe${}_2$ Josephson junctions in a parallel magnetic field
• Magnetization dynamics and Majorana fermions in ferromagnetic Josephson junctions along the quantum spin Hall edge
• Van der Waals heterostructures with spin-orbit coupling
• Inhomogeneous superconductivity in the presence of time-reversal symmetry
• Characteristic energies, transition temperatures, and switching effects in clean SNS graphene nanostructures
• Control of magnetism in singlet-triplet superconducting heterostructures
• Superconducting proximity effect in flat band systems