Semiclassical theory of quasiparticles in the superconducting state

Physics – Condensed Matter – Superconductivity

Scientific paper

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74 pages, 19 figures, 3 tables. Submitted to Academic Press for possible publication

Scientific paper

10.1006/aphy.2002.6240

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.

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