By Jian-Xin Zhu
The goal of this publication is to supply an trouble-free but systematic description of the Bogoliubov-de Gennes (BdG) equations, their specified symmetry houses and their relation to Green’s functionality conception. in particular, it introduces readers to the supercell procedure for the options of the BdG equations, in addition to different comparable options 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 entirely trap the neighborhood digital constitution via self-consistent recommendations through unique diagonalization. This strategy has been effectively generalized to review many points of traditional and unconventional superconductors with inhomogeneities – together with defects, disease or the presence of a magnetic box – and turns into a good extra beautiful selection while the first-principles info of a standard superconductor is included through the development of a low-energy tight-binding version. additional, the lattice BdG process is key whilst 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 delivering an invaluable reference advisor for specialists within the field.
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Extra info for Bogoliubov-de Gennes Method and Its Applications
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