Determination of gap solution and critical temperature in doped graphene superconductivity

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• 作者：Chenmei Xu ; Yisong Yang
• 关键词：Graphene ; Dirac fermions ; Doping ; BCS theory ; Gap solution ; Order parameter ; Critical temperature ; Globally convergent methods
• 刊名：Zeitschrift für angewandte Mathematik und Physik
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：68
• 期：2
• 全文大小：
• 刊物主题：Theoretical and Applied Mechanics; Mathematical Methods in Physics;
• 出版者：Springer International Publishing
• ISSN：1420-9039
• 卷排序：68

文摘

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.