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Bound states in Andreev billiards with soft walls

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Bound states in Andreev billiards with soft walls. / Libisch, F.; Rotter, S.; Burgdörfer, J. et al.
In: Physical review B, Vol. 72, No. 7, 08.2005, p. 075304.

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

Harvard

Libisch, F, Rotter, S, Burgdörfer, J, Kormanyos, A & Cserti, J 2005, 'Bound states in Andreev billiards with soft walls', Physical review B, vol. 72, no. 7, pp. 075304. https://doi.org/10.1103/PhysRevB.72.075304

APA

Libisch, F., Rotter, S., Burgdörfer, J., Kormanyos, A., & Cserti, J. (2005). Bound states in Andreev billiards with soft walls. Physical review B, 72(7), 075304. https://doi.org/10.1103/PhysRevB.72.075304

Vancouver

Libisch F, Rotter S, Burgdörfer J, Kormanyos A, Cserti J. Bound states in Andreev billiards with soft walls. Physical review B. 2005 Aug;72(7):075304. doi: 10.1103/PhysRevB.72.075304

Author

Libisch, F. ; Rotter, S. ; Burgdörfer, J. et al. / Bound states in Andreev billiards with soft walls. In: Physical review B. 2005 ; Vol. 72, No. 7. pp. 075304.

Bibtex

@article{1436c7b8848a43c6885f1a8d0cd217ae,
title = "Bound states in Andreev billiards with soft walls",
abstract = "The energy spectrum and the eigenstates of a rectangular quantum dot containing soft potential walls in contact with a superconductor are calculated by solving the Bogoliubov–de Gennes equation. We compare the quantum mechanical solutions with a semiclassical analysis using a Bohr-Sommerfeld (BS) quantization of periodic orbits. We propose a simple extension of the BS approximation which is well suited to describe Andreev billiards with parabolic potential walls. The underlying classical periodic electron-hole orbits are directly identified in terms of {"}scar{"}-like features engraved in the quantum wave functions of Andreev states which we determine here explicitly.",
keywords = "quantum dots, mesoscopic systems, quantum theory, bound states, electronic density of states",
author = "F. Libisch and S. Rotter and J. Burgd{\"o}rfer and Andor Kormanyos and J. Cserti",
year = "2005",
month = aug,
doi = "10.1103/PhysRevB.72.075304",
language = "English",
volume = "72",
pages = "075304",
journal = "Physical review B",
issn = "1550-235X",
publisher = "AMER PHYSICAL SOC",
number = "7",

}

RIS

TY - JOUR

T1 - Bound states in Andreev billiards with soft walls

AU - Libisch, F.

AU - Rotter, S.

AU - Burgdörfer, J.

AU - Kormanyos, Andor

AU - Cserti, J.

PY - 2005/8

Y1 - 2005/8

N2 - The energy spectrum and the eigenstates of a rectangular quantum dot containing soft potential walls in contact with a superconductor are calculated by solving the Bogoliubov–de Gennes equation. We compare the quantum mechanical solutions with a semiclassical analysis using a Bohr-Sommerfeld (BS) quantization of periodic orbits. We propose a simple extension of the BS approximation which is well suited to describe Andreev billiards with parabolic potential walls. The underlying classical periodic electron-hole orbits are directly identified in terms of "scar"-like features engraved in the quantum wave functions of Andreev states which we determine here explicitly.

AB - The energy spectrum and the eigenstates of a rectangular quantum dot containing soft potential walls in contact with a superconductor are calculated by solving the Bogoliubov–de Gennes equation. We compare the quantum mechanical solutions with a semiclassical analysis using a Bohr-Sommerfeld (BS) quantization of periodic orbits. We propose a simple extension of the BS approximation which is well suited to describe Andreev billiards with parabolic potential walls. The underlying classical periodic electron-hole orbits are directly identified in terms of "scar"-like features engraved in the quantum wave functions of Andreev states which we determine here explicitly.

KW - quantum dots

KW - mesoscopic systems

KW - quantum theory

KW - bound states

KW - electronic density of states

U2 - 10.1103/PhysRevB.72.075304

DO - 10.1103/PhysRevB.72.075304

M3 - Journal article

VL - 72

SP - 075304

JO - Physical review B

JF - Physical review B

SN - 1550-235X

IS - 7

ER -