Nonlinear integral equation from the BCS gap equations of superconductivity

✍ Scribed by Janpou Nee

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 466 KB
• Volume: 11
• Category: Article
• ISSN: 1468-1218
• DOI: 10.1016/j.nonrwa.2008.10.047

✦ Synopsis

We present the proof of the existence and uniqueness of a positive nontrivial solution to the system of nonlinear integral equation arising from the model of anisotropic multiband BCS Gap Equations of superconductivity. Moreover, we will show that the critical temperature T c of the occurrence of superconductivity is determined through the determination of the first eigenvalue of the kernel function of the system.