Determination of Gap Solution and Critical Temperature in Doped Graphene Superconductivity

TL;DR

This paper demonstrates that doping in graphene enhances the superconducting gap and critical temperature within a BCS framework, providing analytic solutions and effective iterative methods validated by numerical examples.

Contribution

It introduces an analytic approach to compute the superconducting gap and critical temperature in doped graphene, showing doping's positive effects across arbitrary coupling.

Findings

Doping significantly increases the gap and critical temperature.

Analytic solutions enable globally convergent iterative computations.

Numerical examples confirm the theoretical predictions.

Abstract

It is shown that the gap solution and critical transition temperature are significantly enhanced by doping in a recently developed BCS formalism for graphene superconductivity in such a way that positive gap and transition temperature both occur in arbitrary pairing coupling as far as doping is present. The analytic construction of the BCS gap and transition temperature offers highly effective globally convergent iterative methods for the computation of these quantities. A series of numerical examples are presented as illustrations consolidating the analytic understanding achieved.