Determination of gap solution and critical temperature in doped graphene superconductivity

Chenmei Xu, Yisong Yang

Research output: Contribution to journalArticlepeer-review


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 which are in agreement with the theoretical and experimental results obtained in the physics literature and consolidate the analytic understanding achieved.

Original languageEnglish (US)
Article number34
JournalZeitschrift fur Angewandte Mathematik und Physik
Issue number2
StatePublished - Apr 1 2017


  • BCS theory
  • Critical temperature
  • Dirac fermions
  • Doping
  • Gap solution
  • Globally convergent methods
  • Graphene
  • Order parameter

ASJC Scopus subject areas

  • General Mathematics
  • General Physics and Astronomy
  • Applied Mathematics


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