Fano-type resonances induced by a boson mode in Andreev conductance

Barański, Jan; Domański, T.

doi:10.1088/1674-1056/24/1/017304

Cited by 15 publications

(16 citation statements)

References 60 publications

(99 reference statements)

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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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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 this approach the electron and phonon dynamics become decoupled. This approximation, which is widely used in literature [49,58,59,[70][71][72], predicts the exponential suppression of the tunneling amplitudes (Franck-Condon (F-C)-type suppression). Using the form of new fermion operators obtained in Lang-Firsov transformation it is easy to show that the electron Green's function of the dot can be decoupled as [73,74]: (8) where , , and or .…”

Section: Model and Formalismmentioning

confidence: 99%

Impact of electron–phonon coupling on electron transport through T-shaped arrangements of quantum dots in the Kondo regime

Florków¹,

Lipiński²

2021

Beilstein J. Nanotechnol.

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We calculate the conductance through strongly correlated T-shaped molecular or quantum dot systems under the influence of phonons. The system is modelled by the extended Anderson–Holstein Hamiltonian. The finite-U mean-field slave boson approach is used to study many-body effects. Phonons influence both interference and correlations. Depending on the dot unperturbed energy and the strength of electron–phonon interaction, the system is occupied by a different number of electrons that effectively interact with each other repulsively or attractively. This leads, together with the interference effects, to different spin or charge Fano–Kondo effects.

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“…In particular, its relation to the Fano-like interference [13][14][15] was precisely established [6] and the spin-dependent variant of this effect for DQDs in an external magnetic field [16] or coupled to ferromagnetic leads [17] was proposed as a method for obtaining electrically tunable spin-polarized currents. Moreover, the Andreev transport properties of T-shaped DQDs coupled to superconducting (SC) and normal leads have also been considered [18][19][20][21][22][23]. In such hybrid systems, for low temperatures and voltages smaller than the superconducting energy gap, transport occurs due to Andreev reflection processes [24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Interplay of the Kondo effect with the induced pairing in electronic and caloric properties of T-shaped double quantum dots

Wójcik

Weymann

2018

Phys. Rev. B

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We examine the influence of the superconducting proximity effect on the transport properties of a T-shaped double quantum dot strongly coupled to two normal, nonmagnetic or ferromagnetic leads. We show that the two-stage Kondo screening may be suppressed or enhanced by the presence of pairing correlations, depending on the specific geometric arrangement of the device. We explain our results by invoking effective decrease of Coulomb interactions by proximity effect and find qualitatively correct description in many cases, although spin-filtering effect stemming from spindependent Fano-Kondo interference occurs to be surprisingly fragile to the presence of induced superconducting pairing correlations. The results are obtained within the numerical renormalization group framework in the limit of large superconducting gap, which allows for a reliable examination of the low-temperature sub-gap properties of the considered system. Nevertheless, finite temperature effects are also taken into account. arXiv:1804.08270v2 [cond-mat.mes-hall]

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Fano-type resonances induced by a boson mode in Andreev conductance

Cited by 15 publications

References 60 publications

Interferometric Signatures of Electron Transfer through Majorana Bound States

Interferometric Signatures of Electron Transfer through Majorana Bound States

Impact of electron–phonon coupling on electron transport through T-shaped arrangements of quantum dots in the Kondo regime

Interplay of the Kondo effect with the induced pairing in electronic and caloric properties of T-shaped double quantum dots

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