Bose-Einstein condensate-mediated superconductivity in graphene

TL;DR

This paper introduces a novel mechanism for inducing robust superconductivity in graphene via interactions with Bogoliubov quasiparticles from a nearby Bose-Einstein condensate, overcoming previous limitations.

Contribution

It demonstrates that bogolon-pair-mediated interactions can significantly enhance superconductivity in graphene, maintaining its relativistic dispersion and addressing the density of states issue.

Findings

Superconducting gap increases with bogolon interactions.

Critical temperature surpasses traditional limits in graphene.

Comparison shows potential for higher T_c than BKT temperature.

Abstract

We propose a mechanism for robust BCS-like superconductivity in graphene placed in the vicinity of a Bose-Einstein condensate. Electrons in the graphene interact with the excitations above the condensate, called Bogoliubov quasiparticles (or bogolons). It turns out that bogolon-pair-mediated interaction allows us to surpass the long-standing problem of the vanishing density of states of particles with a linear spectrum. This results in a dramatic enhancement of the superconducting properties of graphene while keeping its relativistic dispersion. We study the behavior of the superconducting gap and calculate critical temperatures in cases with single-bogolon and bogolon-pair-mediated pairing processes, accounting for the complex band structure of graphene. We also compare the critical temperature of the superconducting transition with the BKT temperature.