Surface superconductivity in multilayered rhombohedral graphene: Supercurrent

TL;DR

This paper calculates the supercurrent in surface superconductivity of multilayered rhombohedral graphene, revealing a finite supercurrent despite a flat excitation spectrum, with critical current linked to the superconducting gap.

Contribution

It provides a theoretical calculation of supercurrent in flat-band multilayered rhombohedral graphene, highlighting the relationship between supercurrent and flat band properties.

Findings

Supercurrent is finite despite flat excitation spectrum.

Critical current proportional to the superconducting gap.

Supercurrent depends on the flat band size in momentum space.

Abstract

The supercurrent for the surface superconductivity of a flat-band multilayered rhombohedral graphene is calculated. Despite the absence of dispersion of the excitation spectrum, the supercurrent is finite. The critical current is proportional to the zero-temperature superconducting gap, i.e., to the superconducting critical temperature and to the size of the flat band in the momentum space.