2015/09/27 by Chenmei Xu, Yisong Yang · 2 citations
Materials Science · Mathematics · Physics and Astronomy · #Algorithm #Band gap #Computation #Condensed matter physics #Doping #Formalism (music) #Graphene #Graphene research and applications #Materials science #Mathematics #Pairing #Physics #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #Superconducting transition temperature #Superconductivity #Surface and Thin Film Phenomena #Transition temperature #cond-mat.supr-con #math-ph #math.MP
paper · pdf · doi:10.1007/s00033-017-0779-7
published in Zeitschrift für angewandte Mathematik und Physik 68(2) (Birkhäuser) · 21 pages, 8 figures
arxiv created 2015/09/27 · openalex publication_date 2017/02/13 · arxiv updated 2017/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.