Triplet proximity effect and odd-frequency pairing in graphene

TL;DR

This paper investigates how superconductivity and ferromagnetism interact in graphene, revealing a strong triplet proximity effect that induces odd-frequency pairing, with implications for spectroscopic measurements and future experiments.

Contribution

It demonstrates the generation of a strong triplet proximity effect and odd-frequency pairing correlations in graphene through self-consistent solutions of the Bogoliubov-de Gennes equations.

Findings

Strong triplet proximity effect in graphene

Manifestation of odd-frequency pairing in local density of states

Analysis of Andreev-bound states in graphene Josephson junctions

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.