Phonon-assisted zero bias anomaly in a single-molecule quantum dot coupled to the Luttinger liquid leads

Yang, Kai-Hua; Liu, Beiyun; Wang, Huaiyu; Xie, He

doi:10.1016/j.physleta.2013.10.051

Cited by 6 publications

(3 citation statements)

References 48 publications

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“…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 . The renormalization factor due to e-ph interaction is evaluated as [67]: where (9) For the zero-temperature case we are discussing a situation where ⟨X(t)X † (0)⟩ is reduced to (10) where (11) This approximate formula will be used by us in the following, because we are interested only in the low-temperature transport.…”

Section: Model and Formalismmentioning

confidence: 99%

“…This approximation, which is widely used in literature [ 49 , 58 – 59 70 – 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 ]:…”

Section: Model and Formalismmentioning

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%

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.

View full text Add to dashboard Cite

show abstract

“…Using the form of new fermion operators obtained in Lang-Firsov transformation it is easy to show that the dot electron Green's function can be decoupled as (e.g. [73,74]):…”

mentioning

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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A new possible transition from two- to one-channel Kondo physics in mesoscopic transport

Yang

Xie

Wang

et al. 2015

Physica E: Low-dimensional Systems and Nanostructures

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Phonon-assisted zero bias anomaly in a single-molecule quantum dot coupled to the Luttinger liquid leads

Cited by 6 publications

References 48 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

A new possible transition from two- to one-channel Kondo physics in mesoscopic transport

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