Quantal Andreev billiards: Density of states oscillations and the spectrum-geometry relationship

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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5 pages, 3 figures, revtex

Scientific paper

10.1103/PhysRevB.65.201306

Andreev billiards are finite, arbitrarily-shaped, normal-state regions, surrounded by superconductor. At energies below the superconducting energy gap, single-quasiparticle excitations are confined to the normal region and its vicinity, the mechanism for confinement being Andreev reflection. Short-wave quantal properties of these excitations, such as the connection between the density of states and the geometrical shape of the billiard, are addressed via a multiple scattering approach. It is shown that one can, inter alia, hear the stationary chords of Andreev billiards.

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