Induced superconductivity distinguishes chaotic from integrable billiards

Melsen, J. A.; Brouwer, Piet W.; Frahm, Klaus M.; Beenakker, C. W. J.

doi:10.1209/epl/i1996-00522-9

Cited by 117 publications

(297 citation statements)

References 20 publications

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“…However, this is true only for such a simple geometry. For samples of more complicated shapes the behavior of the DOS ν(ǫ) depends on whether the electron dynamics in the N region is chaotic or integrable Lodder and Yu.V.Nazarov, 1998;Melsen et al, 1996;Pilgram et al, 2000;Taras-Semchuk and Altland, 2001).…”

Section: A Superconductor-normal Metal Structuresmentioning

confidence: 99%

Odd triplet superconductivity and related phenomena in superconductor-ferromagnet structures

2005

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We consider novel unusual effects in superconductor-ferromagnet (S/F) structures. In particular we analyze the triplet component (TC) of the condensate generated in those systems.This component is odd in frequency and even in the momentum, which makes it insensitive to non-magnetic impurities. If the exchange field is not homogeneous in the system the triplet component is not destroyed even by a strong exchange field and can penetrate the ferromagnet over long distances. Some other effects considered here and caused by the proximity effect are: enhancement of the Josephson current due to the presence of the ferromagnet, induction of a magnetic moment in superconductors resulting in a screening of the magnetic moment, formation of periodic magnetic structures due to the influence of the superconductor, etc. We compare the theoretical predictions with existing experiments.

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Section: A Superconductor-normal Metal Structuresmentioning

confidence: 99%

Odd triplet superconductivity and related phenomena in superconductor-ferromagnet structures

2005

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“…The main signatures of classical integrability ͑or lack of it͒ on the statistics of energy levels and properties of the transport coefficients for closed and open systems, respectively, have been discussed in detail in various reviews. [1][2][3][4] Discussions on modifications owing to the possibility of Andreev reflection appear in more recent studies, 5,6,[9][10][11][12][13][14][15] mostly focusing on the features of the quantum mechanical level density.…”

Section: Introductionmentioning

confidence: 99%

Magnetic-field dependence of transport in normal and Andreev billiards: A classical interpretation of the averaged quantum behavior

et al. 2005

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We perform a comparative study of the quantum and classical transport probabilities of low-energy quasiparticles ballistically traversing normal and Andreev two-dimensional open cavities with a Sinai-billiard shape. We focus on the dependence of the transport on the strength of an applied magnetic field B. With increasing field strength the classical dynamics changes from mixed to regular phase space. Averaging out the quantum fluctuations, we find an excellent agreement between the quantum and classical transport coefficients in the complete range of field strengths. This allows an overall description of the nonmonotonic behavior of the average magnetoconductance in terms of the corresponding classical trajectories, thus, establishing a basic tool useful in the design and analysis of experiments.

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“…Over the last decade, the Bohr-Sommerfeld approximation for the smoothed density of states has been successfully applied to Andreev billiards. 15,16,17,18,19,20,21,22,24,26,27,28 In the case of a normal dot confined by one N-S interface and infinitely high potential walls, the integrated density of states or smoothed state counting function in the BS approximation reads…”

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confidence: 99%

Bound states in Andreev billiards with soft walls

et al. 2005

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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 (BdG) 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 wavefunctions of Andreev states determined here for the first time.

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Induced superconductivity distinguishes chaotic from integrable billiards

Cited by 117 publications

References 20 publications

Odd triplet superconductivity and related phenomena in superconductor-ferromagnet structures

Odd triplet superconductivity and related phenomena in superconductor-ferromagnet structures

Magnetic-field dependence of transport in normal and Andreev billiards: A classical interpretation of the averaged quantum behavior

Bound states in Andreev billiards with soft walls

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