TY - JOUR
T1 - Quantal Andreev billiards: Density of states oscillations and the spectrum-geometry relationship
AU - Adagideli, I
AU - Goldbart, PM
PY - 2002/5/15
Y1 - 2002/5/15
N2 - 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.
AB - 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.
UR - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000176066600013&KeyUID=WOS:000176066600013
U2 - 10.1103/PhysRevB.65.201306
DO - 10.1103/PhysRevB.65.201306
M3 - Article
SN - 1098-0121
VL - 65
JO - Physical Review B (Condensed Matter and Materials Physics)
JF - Physical Review B (Condensed Matter and Materials Physics)
IS - 20
M1 - 201306(R)
ER -