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Proximity-Induced Subgaps in Andreev Billiard.

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Proximity-Induced Subgaps in Andreev Billiard. / Cserti, J.; Kormanyos, A.; Kaufmann, Z. et al.
In: Physical review letters, Vol. 89, No. 5, 2002, p. 057001.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Cserti, J, Kormanyos, A, Kaufmann, Z, Koltai, J & Lambert, CJ 2002, 'Proximity-Induced Subgaps in Andreev Billiard.', Physical review letters, vol. 89, no. 5, pp. 057001. https://doi.org/10.1103/PhysRevLett.89.057001

APA

Cserti, J., Kormanyos, A., Kaufmann, Z., Koltai, J., & Lambert, C. J. (2002). Proximity-Induced Subgaps in Andreev Billiard. Physical review letters, 89(5), 057001. https://doi.org/10.1103/PhysRevLett.89.057001

Vancouver

Cserti J, Kormanyos A, Kaufmann Z, Koltai J, Lambert CJ. Proximity-Induced Subgaps in Andreev Billiard. Physical review letters. 2002;89(5):057001. doi: 10.1103/PhysRevLett.89.057001

Author

Cserti, J. ; Kormanyos, A. ; Kaufmann, Z. et al. / Proximity-Induced Subgaps in Andreev Billiard. In: Physical review letters. 2002 ; Vol. 89, No. 5. pp. 057001.

Bibtex

@article{e22309543efa42cdbc78451024ebc023,
title = "Proximity-Induced Subgaps in Andreev Billiard.",
abstract = "We examine the density of states of an Andreev billiard and show that any billiard with a finite upper cutoff in the path length distribution P(s) will possess an energy gap on the scale of the Thouless energy. An exact quantum mechanical calculation for different Andreev billiards gives good agreement with the semiclassical predictions when the energy dependent phase shift for Andreev reflections is properly taken into account. Based on this new semiclassical Bohr-Sommerfeld approximation of the density of states, we derive a simple formula for the energy gap. We show that the energy gap, in units of Thouless energy, may exceed the value predicted earlier from random matrix theory for chaotic billiards.",
author = "J. Cserti and A. Kormanyos and Z. Kaufmann and J. Koltai and Lambert, {C. J.}",
year = "2002",
doi = "10.1103/PhysRevLett.89.057001",
language = "English",
volume = "89",
pages = "057001",
journal = "Physical review letters",
publisher = "American Physical Society",
number = "5",

}

RIS

TY - JOUR

T1 - Proximity-Induced Subgaps in Andreev Billiard.

AU - Cserti, J.

AU - Kormanyos, A.

AU - Kaufmann, Z.

AU - Koltai, J.

AU - Lambert, C. J.

PY - 2002

Y1 - 2002

N2 - We examine the density of states of an Andreev billiard and show that any billiard with a finite upper cutoff in the path length distribution P(s) will possess an energy gap on the scale of the Thouless energy. An exact quantum mechanical calculation for different Andreev billiards gives good agreement with the semiclassical predictions when the energy dependent phase shift for Andreev reflections is properly taken into account. Based on this new semiclassical Bohr-Sommerfeld approximation of the density of states, we derive a simple formula for the energy gap. We show that the energy gap, in units of Thouless energy, may exceed the value predicted earlier from random matrix theory for chaotic billiards.

AB - We examine the density of states of an Andreev billiard and show that any billiard with a finite upper cutoff in the path length distribution P(s) will possess an energy gap on the scale of the Thouless energy. An exact quantum mechanical calculation for different Andreev billiards gives good agreement with the semiclassical predictions when the energy dependent phase shift for Andreev reflections is properly taken into account. Based on this new semiclassical Bohr-Sommerfeld approximation of the density of states, we derive a simple formula for the energy gap. We show that the energy gap, in units of Thouless energy, may exceed the value predicted earlier from random matrix theory for chaotic billiards.

U2 - 10.1103/PhysRevLett.89.057001

DO - 10.1103/PhysRevLett.89.057001

M3 - Journal article

VL - 89

SP - 057001

JO - Physical review letters

JF - Physical review letters

IS - 5

ER -