Supercurrent in superconducting graphene

TL;DR

This paper investigates supercurrent behavior in superconducting graphene, demonstrating that a finite supercurrent exists even at zero doping within a mean-field model using two-component wave functions.

Contribution

It introduces a mean-field approach with two-component wave functions to analyze supercurrent in graphene, revealing finite supercurrent at zero doping.

Findings

Supercurrent is finite even at zero doping.

Supercurrent persists within the linear approximation of phase gradient.

The model employs two-component wave functions on a honeycomb lattice.

Abstract

The problem of supercurrent in superconducting graphene is revisited and the supercurrent is calculated within the mean-field model employing the two-component wave functions on a honeycomb lattice with pairing between different valleys in the Brillouin zone. We show that the supercurrent within the linear approximation in the order-parameter-phase gradient is always finite even if the doping level is exactly zero.