Kondo and Fano effect in side attached double quantum-dot molecule

Lara, Gustavo A.; Orellana, P. A.; Yáñez, Julio M.; Anda, E. V.

doi:10.1590/s0103-97332006000600006

Cited by 3 publications

(5 citation statements)

References 11 publications

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“…This interpretation of DTQD systems is more adequate for molecular systems. Both side coupled dot systems, TQD and DTQD with Kondo resonances of interacting dots, have already been analyzed [22,24,[61][62][63][64], but here we generalize these considerations focusing on the role of phonons in electron transport through these structures.…”

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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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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show abstract

“…This interpretation of DTQD systems is more adequate for molecular systems. Both side coupled dot systems, single TQD and double DTQD with Kondo resonances of interacting dots have already been analyzed [22,24,[61][62][63][64], but here we generalize these considerations focusing on the role of phonons in electron transport through these structures. Discussing the electron-phonon coupling in the introduced systems we consider three special cases: 1) local phonon modes are coupled solely to the open dots (l=1), 2) local phonon modes are coupled only to the interacting dots (l=2) or 3) single local phonon mode is equally coupled to both interacting dots (l=3).…”

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

Florków,

Lipiński

2021

Preprint

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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 which 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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“…Fano resonances, which occur due to interference when a discrete level is weakly coupled to a continuous band, were recently observed in experiments on rings with embedded quantum dots 9 and quantum wires with sidecoupled dots 10 . The interplay between Fano and Kondo resonance was investigated using equation of motion 11,12 and slave boson techniques 13 . In this work we study a double quantum dot (DQD) in a side-coupled configuration ( Fig.…”

Section: Introductionmentioning

confidence: 99%

“…1), connected to a single conduction-electron channel. Systems of this type were studied previously using non-crossing approximation 14 , embedding technique 15 and slaveboson mean field theory 13,16 . Numerical renormalization group (NRG) calculations were also performed recently 17 , where only narrow regimes of enhanced conductance were found at low temperatures.…”

Section: Introductionmentioning

confidence: 99%

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Enhanced conductance through side-coupled double quantum dots

Žitko

Bonča

2006

Phys. Rev. B

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Conductance, on-site and inter-site charge fluctuations and spin correlations in the system of two side-coupled quantum dots are calculated using the Wilson's numerical renormalization group (NRG) technique. We also show spectral density calculated using the density-matrix NRG, which for some parameter ranges remedies inconsistencies of the conventional approach. By changing the gate voltage and the inter-dot tunneling rate, the system can be tuned to a non-conducting spin-singlet state, the usual Kondo regime with odd number of electrons occupying the dots, the two-stage Kondo regime with two electrons, or a valence-fluctuating state associated with a Fano resonance. Analytical expressions for the width of the Kondo regime and the Kondo temperature are given. We also study the effect of unequal gate voltages and the stability of the two-stage Kondo effect with respect to such perturbations.

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Kondo and Fano effect in side attached double quantum-dot molecule

Cited by 3 publications

References 11 publications

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

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

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

Enhanced conductance through side-coupled double quantum dots

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