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

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BdG Equations in Tight-Binding Modeleneral symmetry of the equations is discussed. A few physically measurable quantities are derived in terms of the BdG eigenfunctions. The solutions to the BdG equations in the uniform case are provided. Finally, I also make its connection to the lattice Abrikosov-Gorkov equations.

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Local Electronic Structure Around a Single Impurity in Superconductorsin conventional .-wave and unconventional .-wave superconductors will be considered. The local electron density of states and the existence of impurity bound or virtual bound states will be explored. The possible realization of Majorana zero-energy modes is discussed for the case of electrons couple

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Disorder Effects on Electronic and Transport Properties in Superconductorsts will be relevant. We focus on the suppression of superconductivity by considering the response of superconducting order parameter, transition temperature, and superfluid density in both .-wave and .-wave superconductors. Finally, we also discuss the localization/delocalization of gapless quasipar

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Local Electronic Structure in Superconductors Under a Magnetic Field a single vortex and proceeds to the lattice version for the vortex lattices in both conventional .-wave and unconventional .-wave superconductors. A generalization of the BdG formulation for a topological superconductor will be briefly explored. For high-.. cuprates, the local induction of competin

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Transport Across Normal-Metal/Superconductor Junctionsf reflection coefficients within the framework of the Blonder-Tinkham-Klapwijk theory. These coefficients are evaluated in the scattering theory. The enhancement of conductance from Andreev reflection process is revealed, and its suppression due to the spin polarization is examined. Finally, the pos

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Topological and Quantum Size Effects in Superconductors at Reduced Length Scaleucting ring and .-wave superconducting cylinder. The loop geometry of a .-wave superconductor is also considered. The solutions of the BdG equations suggest that the .∕.-periodicity is a generic property in .-wave superconductor ring at the mesoscale and in unconventional superconductors. Finally, t

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