Fano–Andreev effect in a T-shape double quantum dot in the Kondo regime

Calle, Ana M.; Pacheco, M.; Martins, G. B.; Apel, V. M.; Lara, Gustavo A.; Orellana, P. A.

doi:10.1088/1361-648x/aa58c1

Cited by 17 publications

(10 citation statements)

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“…The shape of the differential conductance may be understood by noticing the quantum interference among the electron trajectories entering and leaving the side-attached quantum dots. These interferences give rise to the so-called Fano-Andreev antiresonances [5][6][7] . On the other hand, the states of two side-attached quantum dots interfere with each other, giving rise to a Dicke-like effect.…”

Section: Resultsmentioning

confidence: 99%

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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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Section: Resultsmentioning

confidence: 99%

“…Electron transport through multiple quantum dots systems exhibits exciting interference effects such as Fano [1][2][3][4][5][6][7] and Aharonov-Bohm [8][9][10][11][12] . The interference phenomenon, which resembles the well-known Dicke resonance in atomic physics, appears to be of particular importance 13 .…”

mentioning

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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“…Despite this, we believe that the correspondence presented in this work could still hold for certain cases, as in the conventional Kondo effect. [ 50–55 ] However, the correspondence will non‐necessarily hold under two‐stage Kondo effect due to that Fano interference seems to be fragile in the presence of induced superconducting pairing correlations. [ 56 ] In any of these two cases, more research should be carried out in order to confirm our thoughts, which is a matter of further studies.…”

Section: Discussionmentioning

confidence: 99%

Fano‐Andreev and Fano‐Majorana Correspondence in Quantum Dot Hybrid Structures

et al. 2020

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A correspondence on the single-electron transport properties between systems of different nature, a topological quantum system and a (conventional) non-topological one, is demonstrated. Specifically, the equivalence between the Fano resonances obtained in T-shaped double quantum dot system coupled to a superconducting lead (QD-QD-S) and a topological superconductor ring nanowire (QD-MBSs) is presented. The non-zero value of the Fano (anti)resonance in the conductance of the QD-MBSs systems is shown as a consequence of a complex Fano factor q M , which is equivalent to the complex Fano factor q S of the QD-QD-S. The complex nature of q S is understood as a sign of a phase introduced by the superconducting lead in the QD-QD-S. It is because of this phase that the correspondence between the QD-QD-S and the QD-MBSs is possible. It is believed that these results can help to reveal the importance of the Fano interference process toward the understanding of the role of the superconductor lead in the QD-QD-S system as well as giving a clear signature of the presence of MBS's in the topological system.The ORCID identification number(s) for the author(s) of this article can be found under https://doi.org/10.1002/andp.201900409 ModelThe T-shaped double quantum dot is assumed with a singlelevel in each quantum dot, which are coupled to two normal

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“…Therefore, in such circumstances disproportion in broadenings for each quantum dot obeys the conditions necessary for the appearance of Fano-like resonances. In absence of topological chain, the features of such quantum interference were predicted and observed in double quantum dot systems in both metallic [15][16][17] and superconducting environment [18][19][20][21][22].…”

Section: Formulation Of the Problemmentioning

confidence: 97%

Interferometric Signatures of Electron Transfer through Majorana Bound States

Barański

Zienkiewicz

2019

Acta Phys. Pol. A

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In semiconducting nanowires deposited on top of s-wave superconductors, the combined effect of induced superconducting order, strong spin-orbit coupling, and magnetic field can lead to the realization of topologically non-trivial edge states. According to Kitayev's model, such states fulfill the axioms of Majorana quasiparticles. Recent development of quantum dot-nanowire hybrids provides useful tools to perform analysis which goes beyond mere observation of such states. One of the most challenging tasks is to demonstrate the nonlocal character of these states. Considering two quantum dots coupled to opposite edges of a chain hosting Majorana quasi-particles, we show that long range electron transfer through the Majorana states can be demonstrated by measurement of local currents. We show that the scattering of electron on one dot gives rise to interferometric signatures on the quantum dot connected to the opposite side of the nanowire.

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Fano–Andreev effect in a T-shape double quantum dot in the Kondo regime

Cited by 17 publications

References 50 publications

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

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

Fano‐Andreev and Fano‐Majorana Correspondence in Quantum Dot Hybrid Structures

Interferometric Signatures of Electron Transfer through Majorana Bound States

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