Semiclassical theory of quasiparticles in the superconducting state
Superconductivity
2009-11-07 v1
Abstract
We have developed a semiclassical approach to solving the Bogoliubov - de Gennes equations for superconductors. It is based on the study of classical orbits governed by an effective Hamiltonian corresponding to the quasiparticles in the superconducting state and includes an account of the Bohr-Sommerfeld quantisation rule, the Maslov index, torus quantisation, topological phases arising from lines of phase singularities (vortices), and semiclassical wave functions for multi-dimensional systems. The method is illustrated by studying the problem of an SNS junction and a single vortex.
Keywords
Cite
@article{arxiv.cond-mat/0112160,
title = {Semiclassical theory of quasiparticles in the superconducting state},
author = {Kevin P. Duncan and Balazs L. Gyorffy},
journal= {arXiv preprint arXiv:cond-mat/0112160},
year = {2009}
}
Comments
74 pages, 19 figures, 3 tables. Submitted to Academic Press for possible publication