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Titlebook: Bogoliubov-de Gennes Method and Its Applications; Jian-Xin Zhu Book 2016 Springer International Publishing Switzerland 2016 Andreev Reflec

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期刊全称Bogoliubov-de Gennes Method and Its Applications
影响因子2023Jian-Xin Zhu
视频video
发行地址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
学科分类Lecture Notes in Physics
图书封面Titlebook: Bogoliubov-de Gennes Method and Its Applications;  Jian-Xin Zhu Book 2016 Springer International Publishing Switzerland 2016 Andreev Reflec
影响因子.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 measureme
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https://doi.org/10.1007/978-3-319-90475-7y bound or virtual bound states will be explored. The possible realization of Majorana zero-energy modes is discussed for the case of electrons coupled to a spin chain in an .-wave superconductor. These results have a direct relevance to the STM measurements. The results will also be compared with the .-matrix method.
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Criticism, Philosophy and the Differendgeneralization of the BdG formulation for a topological superconductor will be briefly explored. For high-.. cuprates, the local induction of competing order around a magnetic vortex core is examined. Finally, the Zeeman-field induced FFLO superconducting state is also analyzed in depth.
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Local Electronic Structure Around a Single Impurity in Superconductorsy bound or virtual bound states will be explored. The possible realization of Majorana zero-energy modes is discussed for the case of electrons coupled to a spin chain in an .-wave superconductor. These results have a direct relevance to the STM measurements. The results will also be compared with the .-matrix method.
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Disorder Effects on Electronic and Transport Properties in Superconductorsrature, and superfluid density in both .-wave and .-wave superconductors. Finally, we also discuss the localization/delocalization of gapless quasiparticles in a disordered .-wave superconductor within a single-parameter scaling approach.
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