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001 978-3-319-31314-6
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020 _a9783319313146
_9978-3-319-31314-6
024 7 _a10.1007/978-3-319-31314-6
_2doi
050 4 _aQC611.9-611.98
072 7 _aTJFD5
_2bicssc
072 7 _aTEC039000
_2bisacsh
072 7 _aTJFD
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082 0 4 _a530.41
_223
100 1 _aZhu, Jian-Xin.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aBogoliubov-de Gennes Method and Its Applications
_h[electronic resource] /
_cby Jian-Xin Zhu.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aXI, 188 p. 50 illus., 33 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v924
505 0 _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. .
520 _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.
650 0 _aMathematical physics.
650 1 4 _aStrongly Correlated Systems, Superconductivity.
_0http://scigraph.springernature.com/things/product-market-codes/P25064
650 2 4 _aNumerical and Computational Physics, Simulation.
_0http://scigraph.springernature.com/things/product-market-codes/P19021
650 2 4 _aMathematical Applications in the Physical Sciences.
_0http://scigraph.springernature.com/things/product-market-codes/M13120
650 2 4 _aNanoscale Science and Technology.
_0http://scigraph.springernature.com/things/product-market-codes/P25140
650 2 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319313122
776 0 8 _iPrinted edition:
_z9783319313139
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v924
856 4 0 _uhttps://doi.org/10.1007/978-3-319-31314-6
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c11768
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