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Bogoliubov-de Gennes Method and Its Applications (Paperback, 1st ed. 2016)
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Bogoliubov-de Gennes Method and Its Applications (Paperback, 1st ed. 2016)
Series: Lecture Notes in Physics, 924
Expected to ship within 10 - 15 working days
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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 measurements.
Altogether, these lectures provide a timely primer for graduate
students and non-specialist researchers, while also offering a
useful reference guide for experts in the field.
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