Bogoliubov-de Gennes Method and Its Applications

Nonfiction, Science & Nature, Technology, Superconductors & Superconductivity, Science, Physics, Mathematical Physics
Cover of the book Bogoliubov-de Gennes Method and Its Applications by Jian-Xin Zhu, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Jian-Xin Zhu ISBN: 9783319313146
Publisher: Springer International Publishing Publication: June 21, 2016
Imprint: Springer Language: English
Author: Jian-Xin Zhu
ISBN: 9783319313146
Publisher: Springer International Publishing
Publication: June 21, 2016
Imprint: Springer
Language: English

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 equations, as well as other related techniques for more rapidly solving the equations in practical applications.

The BdG equations are derived from a microscopic model Hamiltonian with an effective pairing interaction and fully capture the local electronic structure through self-consistent solutions via exact diagonalization. This approach has been successfully generalized to study many aspects of conventional and unconventional superconductors with inhomogeneities – including defects, disorder or the presence of a magnetic field – and becomes an even more attractive choice when the first-principles information of a typical superconductor is incorporated via the construction of a low-energy tight-binding model. Further, the lattice BdG approach is essential when theoretical results for local electronic states around such defects are compared with the scanning tunneling microscopy measurements.

Altogether, these lectures provide a timely primer for graduate students and non-specialist researchers, while also offering a useful reference guide for experts in the field.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 equations, as well as other related techniques for more rapidly solving the equations in practical applications.

The BdG equations are derived from a microscopic model Hamiltonian with an effective pairing interaction and fully capture the local electronic structure through self-consistent solutions via exact diagonalization. This approach has been successfully generalized to study many aspects of conventional and unconventional superconductors with inhomogeneities – including defects, disorder or the presence of a magnetic field – and becomes an even more attractive choice when the first-principles information of a typical superconductor is incorporated via the construction of a low-energy tight-binding model. Further, the lattice BdG approach is essential when theoretical results for local electronic states around such defects are compared with the scanning tunneling microscopy measurements.

Altogether, these lectures provide a timely primer for graduate students and non-specialist researchers, while also offering a useful reference guide for experts in the field.

More books from Springer International Publishing

Cover of the book Perspectives of System Informatics by Jian-Xin Zhu
Cover of the book Discovery Science by Jian-Xin Zhu
Cover of the book Mycorrhizal Fungi in South America by Jian-Xin Zhu
Cover of the book Lipid Management by Jian-Xin Zhu
Cover of the book A Paraconsistent Decision-Making Method by Jian-Xin Zhu
Cover of the book Collaboration in a Data-Rich World by Jian-Xin Zhu
Cover of the book Optical Phenomenology and Applications by Jian-Xin Zhu
Cover of the book Media and Digital Management by Jian-Xin Zhu
Cover of the book Endoscopy in Obesity Management by Jian-Xin Zhu
Cover of the book Wear Prediction on Total Ankle Replacement by Jian-Xin Zhu
Cover of the book CONAT 2016 International Congress of Automotive and Transport Engineering by Jian-Xin Zhu
Cover of the book The 1st International Workshop on the Quality of Geodetic Observation and Monitoring Systems (QuGOMS'11) by Jian-Xin Zhu
Cover of the book Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics by Jian-Xin Zhu
Cover of the book Global Challenges and the Emerging World Order by Jian-Xin Zhu
Cover of the book Cycles in US Foreign Policy since the Cold War by Jian-Xin Zhu
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy