Density of states of chaotic Andreev billiards
نویسندگان
چکیده
منابع مشابه
Semiclassical evidence of a gap in the density of states of chaotic Andreev billiards
The connection of a superconductor to a chaotic ballistic quantum dot leads to interesting phenomena, most notably the appearance of a hard gap in its excitation spectrum. Here we treat such an Andreev billiard semiclassically where the density of states is expressed in terms of the classical trajectories of electrons (and holes) that leave and return to the superconductor. We show how classica...
متن کاملSemiclassical gaps in the density of states of chaotic Andreev billiards.
The connection of a superconductor to a chaotic ballistic quantum dot leads to interesting phenomena, most notably the appearance of a hard gap in its excitation spectrum. Here we treat such an Andreev billiard semiclassically where the density of states is expressed in terms of the classical trajectories of electrons (and holes) that leave and return to the superconductor. We show how classica...
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The density of states in a normal metal in contact with a superconductor is affected by the superconductor, as a manifestation of the proximity effect or Andreev reflection. In the early days of superconductivity, this effect had been observed in thin films of normal metal on a superconducting substrate. It has been shown theoretically that for clean films the spectrum of quasiparticle excitati...
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We demonstrate that the exact quantum mechanical calculations are in good agreement with the semiclassical predictions for rectangular Andreev billiards, and therefore for a large number of open channels it is sufficient to investigate the Bohr-Sommerfeld approximation of the density of states. We present exact calculations of the classical path length distribution P(s), which is a nondifferent...
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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...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2011
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.83.195316