By Jian-Xin Zhu
The function of this e-book is to supply an hassle-free but systematic description of the Bogoliubov-de Gennes (BdG) equations, their targeted symmetry homes and their relation to Green’s functionality concept. particularly, it introduces readers to the supercell method for the recommendations of the BdG equations, in addition to different comparable suggestions for extra speedily fixing the equations in useful applications.
The BdG equations are derived from a microscopic version Hamiltonian with an efficient pairing interplay and completely catch the neighborhood digital constitution via self-consistent options through distinctive diagonalization. This procedure has been effectively generalized to review many features of traditional and unconventional superconductors with inhomogeneities – together with defects, ailment or the presence of a magnetic box – and turns into a good extra appealing selection while the first-principles info of a standard superconductor is integrated through the development of a low-energy tight-binding version. additional, the lattice BdG procedure is vital whilst theoretical effects for neighborhood digital states round such defects are in comparison with the scanning tunneling microscopy measurements.
Altogether, those lectures offer a well timed primer for graduate scholars and non-specialist researchers, whereas additionally providing an invaluable reference advisor for specialists within the field.
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Additional resources for Bogoliubov-de Gennes Method and Its Applications (Lecture Notes in Physics)
Bogoliubov-de Gennes Method and Its Applications (Lecture Notes in Physics) by Jian-Xin Zhu