By Jian-Xin Zhu
The objective of this booklet is to supply an effortless but systematic description of the Bogoliubov-de Gennes (BdG) equations, their precise symmetry homes and their relation to Green’s functionality thought. in particular, it introduces readers to the supercell approach for the suggestions of the BdG equations, in addition to different comparable recommendations for extra swiftly fixing the equations in sensible applications.
The BdG equations are derived from a microscopic version Hamiltonian with a good pairing interplay and entirely seize the neighborhood digital constitution via self-consistent options through unique diagonalization. This process has been effectively generalized to review many facets of traditional and unconventional superconductors with inhomogeneities – together with defects, sickness or the presence of a magnetic box – and turns into a fair extra beautiful selection whilst the first-principles details of a customary superconductor is included through the development of a low-energy tight-binding version. extra, the lattice BdG method is key while theoretical effects for neighborhood digital states round such defects are in comparison with the scanning tunneling microscopy measurements.
Altogether, those lectures supply a well timed primer for graduate scholars and non-specialist researchers, whereas additionally providing an invaluable reference consultant 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