Coherent transport through T-shaped electrostatically coupled quantum dots

Lipiński, S.; Krychowski, D.

doi:10.1016/j.jmmm.2006.10.811

Cited by 5 publications

(7 citation statements)

References 8 publications

(8 reference statements)

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Section: Model and Formalismmentioning

confidence: 99%

“…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 – 64 ], but here we generalize these considerations focusing on the role of phonons in electron transport through these structures. Discussing the e–ph 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), and 3) single local phonon mode is equally coupled to both interacting dots ( l = 3).…”

Section: Model and Formalismmentioning

confidence: 99%

“…There is currently also a great interest in the interplay of strong correlations and interference in multiply connected geometries, for example, in T-shaped systems, where a dot or a molecule are side-coupled to a quantum wire [18][19][20][21][22][23][24][25][26]. Sidewall chemical functionalization of molecular wires is already a well-established branch of research.…”

Section: Introductionmentioning

confidence: 99%

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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%

Section: Model and Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

“…There is currently also a great interest in the interplay of strong correlations and interference in multiply connected geometries e.g. in T-shaped systems, where dot or molecule is side-coupled to a quantum wire [18][19][20][21][22][23][24][25][26]. Sidewall chemical functionalization of molecular wires is already a well-established branch of research.…”

Section: Introductionmentioning

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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“…2a). For the weak symmetric couplings and equal values of intra and interdot Coulomb interactions SU(4) Kondo resonance is formed in EDED at low temperatures [9][10][11] and Kondo-Fano SU(4) resonance in TDTD [12]. The latter phenomena is the combined effect of interference and cotunneling induced fluctuations.…”

Section: Introductionmentioning

confidence: 99%

Transport through capacitively coupled embedded and T-shape quantum dots in the Kondo range

Krychowski

Florków

Antkiewicz

et al. 2018

Physica E: Low-dimensional Systems and Nanostructures

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Strong electron correlations and interference effects are discussed in capacitively coupled side attached and embedded quantum dots. The finite -U mean field slave boson approach is used to study many-body effects. In the linear range the many-body resonances exhibit SU(4) Kondo or Kondo-Fano like character and their properties in the corresponding arms are close to the properties of embedded or T-shape double dot systems respectively. Breaking of the spin symmetry in one of the arms or in both allows for the formation of many-body resonances of SU(3) or SU(2) symmetries in the linear range.

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Coherent transport through T-shaped electrostatically coupled quantum dots

Cited by 5 publications

References 8 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

Transport through capacitively coupled embedded and T-shape quantum dots in the Kondo range

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