Bogoliubov-de Gennes Method and Its Applic...

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Beschreibung

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.

Über den Autor

Dr Jian-Xin Zhu obtained his PhD from the University of Hong Kong in 1997. He is presently a staff member of the Theoretical Division, Los Alamos National Laboratory, and also a Partner Science Leader in the thrust of Theory and Simulation of Nanoscale Phenomena of the Center for Integrated Nanotechnologies (CINT), a U.S. DOE BES user facility. Dr Zhu, who was awarded the LANL Postdoctoral Distinguished Performance Award in 2003, is an internationally known expert on the theory of superconductivity and on electronic structure in strongly correlated systems, with a particular focus on the theoretical analysis of scanning tunneling microscopy and photoemission spectroscopy measurements.

Zusammenfassung

Provides a timely primer on a method increasingly used for various applications, such as investigation of the electronic structure in the vicinity of impurities

Authored by an active researcher in the field

Covers the most important applications of the Bologliubov-de Gennes method at a level accessible to graduate students and nonspecialists

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2016
Fachbereich:	Elektrizität/Magnetismus/Optik
Genre:	Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Seiten:	200
Reihe:	Lecture Notes in Physics
Inhalt:	xi 188 S. 17 s/w Illustr. 33 farbige Illustr. 188 p. 50 illus. 33 illus. in color.
ISBN-13:	9783319313122
ISBN-10:	3319313126
Sprache:	Englisch
Herstellernummer:	978-3-319-31312-2
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Zhu, Jian-Xin
Auflage:	1st ed. 2016
Hersteller:	Springer International Publishing Springer International Publishing AG Lecture Notes in Physics
Maße:	235 x 155 x 12 mm
Von/Mit:	Jian-Xin Zhu
Erscheinungsdatum:	22.06.2016
Gewicht:	0,312 kg

preigu-id: 103979224