A constrained theory of non-BCS type superconductivity in gapped Graphene

TL;DR

This paper proposes a non-BCS type superconductivity in gapped Graphene under a local current constraint, which does not rely on pairing and exhibits a critical temperature proportional to the gap.

Contribution

It introduces a novel non-BCS superconductivity mechanism in gapped Graphene with a current constraint, diverging from traditional pairing-based theories.

Findings

Superconductivity occurs without pairing in gapped Graphene.

Critical temperature scales with the energy gap.

Superconductivity transition follows Berezinskii-Kosterlitz-Thouless mechanism.

Abstract

We show that gapped Graphene, with a local constraint that current arising from the two valley fermions are exactly equal, shows a non-BCS type superconductivity. Unlike the conventional mechanisms, this superconductivity phenomenon does not require any pairing. We estimate the critical temperature for superconducting-to-normal transition via Berezinskii-Kosterlitz-Thouless mechanism, and find that it is proportional to the gap.