LEADER 04769nam 22007095 450 001 996466806203316 005 20200706054355.0 010 $a3-319-31314-2 024 7 $a10.1007/978-3-319-31314-6 035 $a(CKB)3710000000734972 035 $a(DE-He213)978-3-319-31314-6 035 $a(MiAaPQ)EBC5596281 035 $a(PPN)194375854 035 $a(EXLCZ)993710000000734972 100 $a20160621d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBogoliubov-de Gennes Method and Its Applications$b[electronic resource] /$fby Jian-Xin Zhu 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XI, 188 p. 50 illus., 33 illus. in color.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v924 311 $a3-319-31312-6 327 $aPart 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. . 330 $aThe purpose of this book is to provide an elementary yet systematic description of the Bogoliubov-de Gennes (BdG) equations, their unique symmetry properties and their relation to Green?s function theory. Specifically, it introduces readers to the supercell technique for the solutions of the BdG equations, as well as other related techniques for more rapidly solving the equations in practical applications. The BdG equations are derived from a microscopic model Hamiltonian with an effective pairing interaction and fully capture the local electronic structure through self-consistent solutions via exact diagonalization. This approach has been successfully generalized to study many aspects of conventional and unconventional superconductors with inhomogeneities ? including defects, disorder or the presence of a magnetic field ? and becomes an even more attractive choice when the first-principles information of a typical superconductor is incorporated via the construction of a low-energy tight-binding model. Further, the lattice BdG approach is essential when theoretical results for local electronic states around such defects are compared with the scanning tunneling microscopy measurements. Altogether, these lectures provide a timely primer for graduate students and non-specialist researchers, while also offering a useful reference guide for experts in the field. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v924 606 $aSuperconductivity 606 $aSuperconductors 606 $aPhysics 606 $aMathematical physics 606 $aNanoscale science 606 $aNanoscience 606 $aNanostructures 606 $aStrongly Correlated Systems, Superconductivity$3https://scigraph.springernature.com/ontologies/product-market-codes/P25064 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aNanoscale Science and Technology$3https://scigraph.springernature.com/ontologies/product-market-codes/P25140 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 615 0$aSuperconductivity. 615 0$aSuperconductors. 615 0$aPhysics. 615 0$aMathematical physics. 615 0$aNanoscale science. 615 0$aNanoscience. 615 0$aNanostructures. 615 14$aStrongly Correlated Systems, Superconductivity. 615 24$aNumerical and Computational Physics, Simulation. 615 24$aMathematical Applications in the Physical Sciences. 615 24$aNanoscale Science and Technology. 615 24$aMathematical Methods in Physics. 676 $a537.623 700 $aZhu$b Jian-Xin$4aut$4http://id.loc.gov/vocabulary/relators/aut$0928814 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466806203316 996 $aBogoliubov-de Gennes Method and Its Applications$92087442 997 $aUNISA LEADER 00551nam 2200205zu 450 001 9911001788503321 005 20250514230603.0 035 $a(CKB)38760621900041 035 $a(EXLCZ)9938760621900041 100 $a20250514|2016uuuu || | 101 0 $aeng 135 $aur||||||||||| 200 10$aEngineering Systems Integration 210 $cTaylor & Francis$d2016 311 08$a9781000219371 700 $aLangford$b Gary O$0969254 906 $aBOOK 912 $a9911001788503321 996 $aEngineering systems integration$92202359 997 $aUNINA