Effects of Andreev reflection on the conductance of quantum chaotic dots

Gopar, Víctor A.; Méndez-Bermúdez, J. A.; Aly, Arafa H.

doi:10.1103/physrevb.79.245412

Cited by 9 publications

(11 citation statements)

References 39 publications

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“…Unlike the results in Ref. 17, where the authors considered the distribution of the conductance of chaotic quantum dots with one open channel per lead, our results are valid for large numbers of channels in the normal leads.…”

Section: Introductioncontrasting

confidence: 66%

Conductance and thermopower of ballistic Andreev cavities

2011

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When coupling a superconductor to a normal conducting region the physical properties of the system are highly affected by the superconductor. We investigate the effect of one or two superconductors on the conductance of a ballistic chaotic quantum dot to leading order in the total channel number using trajectory-based semiclassics. The results show that the effect of one superconductor on the conductance is of the order of the number of channels and that the sign of the quantum correction from the Drude conductance depends on the particular ratios of the numbers of channels of the superconducting and normal conducting leads. In the case of two superconductors with the same chemical potential, we additionally study how the conductance and the sign of quantum corrections are affected by their phase difference. As far as random matrix theory results exist these are reproduced by our calculations. Furthermore, in the case that the chemical potential of the superconductors is the same as that of one of the two normal leads the conductance shows, under certain conditions, similar effects as a normal metal-superconductor junction. The semiclassical framework is also able to treat the thermopower of chaotic Andreev billiards consisting of one chaotic dot, two normal leads, and two superconducting islands and shows it to be antisymmetric in the phase difference of the superconductors.

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Section: Introductioncontrasting

confidence: 66%

Conductance and thermopower of ballistic Andreev cavities

2011

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“…The emission of QDs is broad, and the excitation wavelength is both narrow and independent [53–58]. In other words, different fluorescence wavelengths can be simply achieved by varying the size of QDs.…”

Section: Hybridization Signal Enhanced By Nanomaterialsmentioning

confidence: 99%

Nanomaterial-Assisted Signal Enhancement of Hybridization for DNA Biosensors: A Review

Liu

Yang

et al. 2009

Sensors

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Detection of DNA sequences has received broad attention due to its potential applications in a variety of fields. As sensitivity of DNA biosensors is determined by signal variation of hybridization events, the signal enhancement is of great significance for improving the sensitivity in DNA detection, which still remains a great challenge. Nanomaterials, which possess some unique chemical and physical properties caused by nanoscale effects, provide a new opportunity for developing novel nanomaterial-based signal-enhancers for DNA biosensors. In this review, recent progress concerning this field, including some newly-developed signal enhancement approaches using quantum-dots, carbon nanotubes and their composites reported by our group and other researchers are comprehensively summarized. Reports on signal enhancement of DNA biosensors by non-nanomaterials, such as enzymes and polymer reagents, are also reviewed for comparison. Furthermore, the prospects for developing DNA biosensors using nanomaterials as signal-enhancers in future are also indicated.

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“…The resulting energy levels are sensitive to the superconducting phase difference across the junction. 3 Since motion of the quasiparticles is phase coherent, implanting impurities or other scattering centers in the N region alters the quasiparticles wave interference pattern, 5 and the Josephson current changes. By the same reasoning, altering the energy gap of either superconductor will also change the Josephson current.…”

Section: Introductionmentioning

confidence: 99%

“…Mesoscopic physics and superconductivity are intimately related through the Bogoliubov-de Gennes (BdG) equations. [1][2][3] It should therefore not be surprising that the wave interference of quasiparticles controls both the current-phase relationship of a Josephson junction [4][5][6] and the current-voltage characteristic of a normal-metalsuperconductor tunnel junction. 7−10 Both the Josephson Effect and Giaever tunneling are mesoscopic phenomena.…”

Section: Introductionmentioning

confidence: 99%

Electron Transport and Josephson-Conductance in Mesoscopic Systems

Aly¹,

Elfayoumi²

2010

Jnl of Comp & Theo Nano

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In this work we study electron transport properties of mesoscopic systems in which the dynamics of the electrons are chaotic. Also the Josephson conductance through a ballistic normal metal mesoscopic one-dimensional quantum channel in contact with superconducting electrodes is studied. The dependence of the conductance on the phase difference, the distance between the two superconducting electrodes and superconducting pair potential shows the quantum interferences in the junction.

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Effects of Andreev reflection on the conductance of quantum chaotic dots

Cited by 9 publications

References 39 publications

Conductance and thermopower of ballistic Andreev cavities

Conductance and thermopower of ballistic Andreev cavities

Nanomaterial-Assisted Signal Enhancement of Hybridization for DNA Biosensors: A Review

Electron Transport and Josephson-Conductance in Mesoscopic Systems

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