Determination of gap solution and critical temperature in doped graphene superconductivity

Chenmei Xu, Yisong Yang

Research output: Research - peer-reviewArticle

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

LanguageEnglish (US)
Article number34
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume68
Issue number2
DOIs
StatePublished - Apr 1 2017

Fingerprint

critical temperature
graphene
superconductivity
transition temperature
temperature
Graphene
Superconductivity
Critical Temperature
Superconducting transition temperature
Temperature
Doping (additives)
formalism
physics
Pairing
Physics
Iteration
Numerical Examples
Series
Experimental Results
Arbitrary

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

Determination of gap solution and critical temperature in doped graphene superconductivity. / Xu, Chenmei; Yang, Yisong.

In: Zeitschrift fur Angewandte Mathematik und Physik, Vol. 68, No. 2, 34, 01.04.2017.

Research output: Research - peer-reviewArticle

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