Quantized invariant tori in Andreev billiards of mixed phase Space.

Physics

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Quantized invariant tori in Andreev billiards of mixed phase Space. / Kaufman, Z.; Kormanyos, A.; Cserti, J. et al.
In: Physical review B, Vol. 73, No. 21, 29.06.2006, p. 214526.

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

Harvard

Kaufman, Z, Kormanyos, A, Cserti, J & Lambert, CJ 2006, 'Quantized invariant tori in Andreev billiards of mixed phase Space.', Physical review B, vol. 73, no. 21, pp. 214526. https://doi.org/10.1103/PhysRevB.73.214526

APA

Kaufman, Z., Kormanyos, A., Cserti, J., & Lambert, C. J. (2006). Quantized invariant tori in Andreev billiards of mixed phase Space. Physical review B, 73(21), 214526. https://doi.org/10.1103/PhysRevB.73.214526

Vancouver

Kaufman Z, Kormanyos A, Cserti J, Lambert CJ. Quantized invariant tori in Andreev billiards of mixed phase Space. Physical review B. 2006 Jun 29;73(21):214526. doi: 10.1103/PhysRevB.73.214526

Author

Kaufman, Z. ; Kormanyos, A. ; Cserti, J. et al. / Quantized invariant tori in Andreev billiards of mixed phase Space. In: Physical review B. 2006 ; Vol. 73, No. 21. pp. 214526.

Bibtex

@article{f34ba9a9681b4ab096c5414acee1e53b,

title = "Quantized invariant tori in Andreev billiards of mixed phase Space.",

abstract = "Comparing the results of exact quantum calculations and those obtained from the Einstein-Brillouin-Keller–like quantization scheme of Silvestrov et al. [Phys. Rev. Lett. 90, 116801 (2003)] we show that the spectrum of Andreev billiards of mixed phase space can basically be decomposed into a regular and an irregular part, similarly to normal billiards. We provide a numerical confirmation of the validity of this quantization scheme for individual eigenstates and discuss its accuracy.",

keywords = "quantum theory, eigenvalues and eigenfunctions, quantum dots, superconductivity",

author = "Z. Kaufman and A. Kormanyos and J. Cserti and Lambert, {Colin J.}",

year = "2006",

month = jun,

day = "29",

doi = "10.1103/PhysRevB.73.214526",

language = "English",

volume = "73",

pages = "214526",

journal = "Physical review B",

issn = "1098-0121",

publisher = "AMER PHYSICAL SOC",

number = "21",

}

RIS

TY - JOUR

T1 - Quantized invariant tori in Andreev billiards of mixed phase Space.

AU - Kaufman, Z.

AU - Kormanyos, A.

AU - Cserti, J.

AU - Lambert, Colin J.

PY - 2006/6/29

Y1 - 2006/6/29

N2 - Comparing the results of exact quantum calculations and those obtained from the Einstein-Brillouin-Keller–like quantization scheme of Silvestrov et al. [Phys. Rev. Lett. 90, 116801 (2003)] we show that the spectrum of Andreev billiards of mixed phase space can basically be decomposed into a regular and an irregular part, similarly to normal billiards. We provide a numerical confirmation of the validity of this quantization scheme for individual eigenstates and discuss its accuracy.

AB - Comparing the results of exact quantum calculations and those obtained from the Einstein-Brillouin-Keller–like quantization scheme of Silvestrov et al. [Phys. Rev. Lett. 90, 116801 (2003)] we show that the spectrum of Andreev billiards of mixed phase space can basically be decomposed into a regular and an irregular part, similarly to normal billiards. We provide a numerical confirmation of the validity of this quantization scheme for individual eigenstates and discuss its accuracy.

KW - quantum theory

KW - eigenvalues and eigenfunctions

KW - quantum dots

KW - superconductivity

U2 - 10.1103/PhysRevB.73.214526

DO - 10.1103/PhysRevB.73.214526

M3 - Journal article

VL - 73

SP - 214526

JO - Physical review B

JF - Physical review B

SN - 1098-0121

IS - 21

ER -

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