Bogoliubov-de Gennes Method and Its Applications

• Main Author: Zhu, Jian-Xin (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Lecture Notes in Physics, 924
• Subjects: Physics.; Mathematical physics.; Superconductivity.; Superconductors.; Nanoscale science.; Nanoscience.; Nanostructures.; Strongly Correlated Systems, Superconductivity.; Numerical and Computational Physics.; Mathematical Applications in the Physical Sciences.; Nanoscale Science and Technology.; Mathematical Methods in Physics.

The purpose of this book is to provide an elementary yet systematic description of the Bogoliubov-de Gennes (BdG) equations, their unique symmetry properties and their relation to Green’s function theory. Specifically, it introduces readers to the supercell technique for the solutions of the BdG equ...

Table of Contents:

• Part I Bogoliubov-de Gennes Theory: Method
• Bogliubov-de Gennes Equations for Superconductors in the continuum model
• BdG Equations in Tight-Binding Model
• Part II Bogoliubov-de Gennes Theory: Applications
• Local Electronic Structure around a Single Impurity in Superconductors
• Disorder Effects on Electronic and Transport Properties in Superconductors
• Local Electronic Structure in Superconductors under a Magnetic Field
• Transport across Normal-Metal/Superconductor Junctions
• Topological and Quantum Size Effects in Superconductors at Reduced Length Scale
• References
• Additional Reading. .