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Effective description of the gap fluctuation for chaotic Andreev billiards.

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Effective description of the gap fluctuation for chaotic Andreev billiards. / Kormanyos, A.; Kaufmann, Z.; Lambert, C. J. et al.
In: Physical review B, Vol. 70, No. 5, 2004, p. 052512.1-052512.4.

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

Harvard

Kormanyos, A, Kaufmann, Z, Lambert, CJ & Cserti, J 2004, 'Effective description of the gap fluctuation for chaotic Andreev billiards.', Physical review B, vol. 70, no. 5, pp. 052512.1-052512.4. https://doi.org/10.1103/PhysRevB.70.052512

APA

Kormanyos, A., Kaufmann, Z., Lambert, C. J., & Cserti, J. (2004). Effective description of the gap fluctuation for chaotic Andreev billiards. Physical review B, 70(5), 052512.1-052512.4. https://doi.org/10.1103/PhysRevB.70.052512

Vancouver

Kormanyos A, Kaufmann Z, Lambert CJ, Cserti J. Effective description of the gap fluctuation for chaotic Andreev billiards. Physical review B. 2004;70(5):052512.1-052512.4. doi: 10.1103/PhysRevB.70.052512

Author

Kormanyos, A. ; Kaufmann, Z. ; Lambert, C. J. et al. / Effective description of the gap fluctuation for chaotic Andreev billiards. In: Physical review B. 2004 ; Vol. 70, No. 5. pp. 052512.1-052512.4.

Bibtex

@article{a3b96566d5ce4a59a49ac06fb8df3228,
title = "Effective description of the gap fluctuation for chaotic Andreev billiards.",
abstract = "We present a numerical study of the universal gap fluctuations and the ensemble averaged density of states (DOS) of chaotic two-dimensional Andreev billiards for finite Ehrenfest time τE . We show that the distribution function of the gap fluctuation for small enough Ehrenfest time can be related to that derived earlier for zero Ehrenfest time. An effective description based on the random matrix theory is proposed giving a good agreement with the numerical results. A systematic linear decrease of the mean field gap with increasing Ehrenfest time τE is observed but its derivative with respect to τE is in between two competing theoretical predictions and close to that of the recent numerical calculations for Andreev map. The exponential tail of the density of states is interpreted semiclassically.",
author = "A. Kormanyos and Z. Kaufmann and Lambert, {C. J.} and J. Cserti",
year = "2004",
doi = "10.1103/PhysRevB.70.052512",
language = "English",
volume = "70",
pages = "052512.1--052512.4",
journal = "Physical review B",
issn = "1098-0121",
publisher = "AMER PHYSICAL SOC",
number = "5",

}

RIS

TY - JOUR

T1 - Effective description of the gap fluctuation for chaotic Andreev billiards.

AU - Kormanyos, A.

AU - Kaufmann, Z.

AU - Lambert, C. J.

AU - Cserti, J.

PY - 2004

Y1 - 2004

N2 - We present a numerical study of the universal gap fluctuations and the ensemble averaged density of states (DOS) of chaotic two-dimensional Andreev billiards for finite Ehrenfest time τE . We show that the distribution function of the gap fluctuation for small enough Ehrenfest time can be related to that derived earlier for zero Ehrenfest time. An effective description based on the random matrix theory is proposed giving a good agreement with the numerical results. A systematic linear decrease of the mean field gap with increasing Ehrenfest time τE is observed but its derivative with respect to τE is in between two competing theoretical predictions and close to that of the recent numerical calculations for Andreev map. The exponential tail of the density of states is interpreted semiclassically.

AB - We present a numerical study of the universal gap fluctuations and the ensemble averaged density of states (DOS) of chaotic two-dimensional Andreev billiards for finite Ehrenfest time τE . We show that the distribution function of the gap fluctuation for small enough Ehrenfest time can be related to that derived earlier for zero Ehrenfest time. An effective description based on the random matrix theory is proposed giving a good agreement with the numerical results. A systematic linear decrease of the mean field gap with increasing Ehrenfest time τE is observed but its derivative with respect to τE is in between two competing theoretical predictions and close to that of the recent numerical calculations for Andreev map. The exponential tail of the density of states is interpreted semiclassically.

U2 - 10.1103/PhysRevB.70.052512

DO - 10.1103/PhysRevB.70.052512

M3 - Journal article

VL - 70

SP - 052512.1-052512.4

JO - Physical review B

JF - Physical review B

SN - 1098-0121

IS - 5

ER -