04744nam 22007095 450 991013701560332120200706054355.03-319-31314-210.1007/978-3-319-31314-6(CKB)3710000000734972(DE-He213)978-3-319-31314-6(MiAaPQ)EBC5596281(PPN)194375854(EXLCZ)99371000000073497220160621d2016 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierBogoliubov-de Gennes Method and Its Applications /by Jian-Xin Zhu1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (XI, 188 p. 50 illus., 33 illus. in color.) Lecture Notes in Physics,0075-8450 ;9243-319-31312-6 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. .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.Lecture Notes in Physics,0075-8450 ;924SuperconductivitySuperconductorsPhysicsMathematical physicsNanoscale scienceNanoscienceNanostructuresStrongly Correlated Systems, Superconductivityhttps://scigraph.springernature.com/ontologies/product-market-codes/P25064Numerical and Computational Physics, Simulationhttps://scigraph.springernature.com/ontologies/product-market-codes/P19021Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Nanoscale Science and Technologyhttps://scigraph.springernature.com/ontologies/product-market-codes/P25140Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Superconductivity.Superconductors.Physics.Mathematical physics.Nanoscale science.Nanoscience.Nanostructures.Strongly Correlated Systems, Superconductivity.Numerical and Computational Physics, Simulation.Mathematical Applications in the Physical Sciences.Nanoscale Science and Technology.Mathematical Methods in Physics.537.623Zhu Jian-Xinauthttp://id.loc.gov/vocabulary/relators/aut928814MiAaPQMiAaPQMiAaPQBOOK9910137015603321Bogoliubov-de Gennes Method and Its Applications2087442UNINA