Andreev reflection tunneling through a triangular triple quantum dot system

Bai, Long; Zhang, Rong; Duan, Chen-Long

doi:10.1016/j.physb.2010.09.025

Cited by 6 publications

(9 citation statements)

References 24 publications

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“…Since the Green's functions are dependent on mean occupations through the intradot interaction, it is necessary to calculate those quantities at the dots. From the definition of the "lesser" Green's function, one straightforwardly obtains the system of equations below: 11 [ω, n a↑ , n a↓ , n b↑ , n b↓ ] 33 [ω, n a↑ , n a↓ , n b↑ , n b↓ ] 11 [ω, n a↑ , n a↓ , n b↑ , n b↓ ] 33 [ω, n a↑ , n a↓ , n b↑ , n b↓ ]…”

Section: Model and Formulasmentioning

confidence: 99%

“…This feature has been explored by Deutscher and Feinberg 2 to propose a non-local Andreev reflection (called crossed AR), where two electrons of different leads can combine into a Cooper pair if the distance between these leads is smaller than the coherence length. Since this proposal, there has been a profusion of works exploring crossed AR in different geometries [3][4][5][6][7][8][9][10][11] , resonant nanostructures involving quantum dots [12][13][14][15][16][17] , different conduction regimes 18,19 (ballistic and diffusive), and addressing more fundamental a) Electronic mail: ecosta@dfq.feis.unesp.br b) Electronic mail: cabrera@ifi.unicamp.br questions, e.g., the entanglement of the quasiparticles in different leads [20][21][22][23][24][25] . Within this vast set of hybrid nanostructures, systems composed by double quantum dots (QDs) are very promising, since this association can serve as a model of diatomic molecules [26][27][28] .…”

Section: Introductionmentioning

confidence: 99%

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Magnetoresistance and transistor-like behavior of a double quantum-dot via crossed Andreev reflections

Siqueira

Cabrera

2012

Journal of Applied Physics

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The electric current and the magnetoresistance effect are studied in a double quantum-dot system, where one of the dots QD a is coupled to two ferromagnetic electrodes (F 1 , F 2 ), while the second QD b is connected to a superconductor S. For energy scales within the superconductor gap, electric conduction is allowed by Andreev reflection processes. Due to the presence of two ferromagnetic leads, non-local crossed Andreev reflections are possible. We found that the magnetoresistance sign can be changed by tuning the external potential applied to the ferromagnets. In addition, it is possible to control the current of the first ferromagnet (F 1 ) through the potential applied to the second one (F 2 ). We have also included intradot interaction and gate voltages at each quantum dot and analyzed their influence through a mean field approximation. The interaction reduces the current amplitudes with respect to the non-interacting case, but the switching effect still remains as a manifestation of quantum coherence, in scales of the order of the superconductor coherence length.

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Section: Model and Formulasmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Magnetoresistance and transistor-like behavior of a double quantum-dot via crossed Andreev reflections

Siqueira

Cabrera

2012

Journal of Applied Physics

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“…The electronic transport through quantum dots (QDs), double quantum dots (DQDs) and triple quantum dots (TQDs) coupled to normal/ferromagnetic and superconductor leads, has been studied recently 25 – 30 . The Cooper pairs 31 transport, along with interference effects among electrons and holes, gives rise to novel and interesting phenomena 32 , 33 .…”

Section: Introductionmentioning

confidence: 99%

Dicke and Fano-Andreev reflections in a triple quantum-dot system

Pacheco

Calle

Siqueira

et al. 2021

Sci Rep

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This article studies quantum interference effects and their influence on the electronic transport through a parallel triple quantum-dot system coupled to normal and superconducting leads in the linear response and non-equilibrium regime. We model the system by a triple impurity Anderson Hamiltonian including the Coulomb intra-dot correlations in all quantum-dots. Using the non-equilibrium Green’s function formalism, we calculate the Andreev conductance and the transmittance for energies within the superconductor gap. Our results show that the Andreev reflection spectra, both in the presence and absence of Coulomb interaction, reveal Fano and Dicke-like resonances in analogy to the Fano and Dicke effects in atomic physics. As one of the main results, we obtain that the charge shows abrupt changes due to the Dicke effect.

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“…Selected aspects of the electronic Dicke effect have been confronted also with superconductivity, considering the Andreev [14][15][16][17] and Josephson-type 18,19 spectroscopies. To the best of our knowledge, however, a thorough description of the relationship between the induced electron pairing, the Dicke effect and the strong correlations is missing.…”

Section: Introductionmentioning

confidence: 99%

Interplay between electron pairing and Dicke effect in triple quantum dot structures

et al. 2017

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We study the influence of the proximity-induced pairing on electronic version of the Dicke effect in a heterostructure, comprising three quantum dots vertically coupled between the metallic and superconducting leads. We discuss a feasible experimental procedure for detecting the narrow/broad (subradiant/superradiant) contributions by means of the subgap Andreev spectroscopy. In the Kondo regime and for small energy level detuning the Dicke effect is manifested in the differential conductance.

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Andreev reflection tunneling through a triangular triple quantum dot system

Cited by 6 publications

References 24 publications

Magnetoresistance and transistor-like behavior of a double quantum-dot via crossed Andreev reflections

Magnetoresistance and transistor-like behavior of a double quantum-dot via crossed Andreev reflections

Dicke and Fano-Andreev reflections in a triple quantum-dot system

Interplay between electron pairing and Dicke effect in triple quantum dot structures

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