Quantal Andreev billiards: Density of states oscillations and the spectrum-geometry relationship
arXiv:cond-mat/0010016 · doi:10.1103/PhysRevB.65.201306
Abstract
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.
arXiv comment5 pages, 3 figures, revtex
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Cited by in corpus (11)
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- Adiabatic quantization of Andreev levels
- Giant oscillations of energy levels in mesoscopic superconductors
- Ehrenfest-time-dependent excitation gap in a chaotic Andreev billiard
- Theory of anomalous magnetic interference pattern in mesoscopic SNS Josephson junctions
- Bound states in Andreev billiards with soft walls
- Fermion-parity switches of the ground state of Majorana billiards
- Neutron localization induced by the pairing field in an inhomogeneous neutron matter
- Andreev bound states for cake shape superconducting-normal systems
- Quantum Scars and Caustics in Majorana Billiards