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Semiclassical Theory of Quasiparticles in the Superconducting State

✍ Scribed by K.P. Duncan; B.L. Györffy

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
414 KB
Volume
298
Category
Article
ISSN
0003-4916

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✦ Synopsis

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 multidimensional systems. The method is illustrated by studying the problem of an SNS junction and a single vortex.

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