Conductance through an array of quantum dots

Lobos, Alejandro M.; Aligia, A. A.

doi:10.1103/physrevb.74.165417

Cited by 35 publications

(47 citation statements)

References 53 publications

(104 reference statements)

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“…There are, however, only a few papers on the Kondo phenomenon in electronic transport through triple-dot structures. [29][30][31][32][33][34][35] Such complex dot systems are of current interest from both fundamental and application points of view. Especially the interference effects in electronic transport attract much attention, as the multidot systems offer a unique possibility to study fundamental phenomena which were earlier observed in solid-state physics and/or quantum optics.…”

Section: Introductionmentioning

confidence: 99%

Kondo-Dicke resonances in electronic transport through triple quantum dots

Trocha

Barnaś

2008

Phys. Rev. B

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Electronic transport through a triple quantum dot system, with only a single dot coupled directly to external leads, is considered theoretically. The model includes Coulomb correlations in the central dot, while such correlations in the two side-coupled dots are omitted. The infinite-U mean-field slave-boson approach is used to obtain basic transport characteristics in the Kondo regime. When tuning the position of the side-coupled dots' levels, transition from subradiant to superradiant-like mode ͑and vice versa͒ has been found in the spectral function, in analogy to the Dicke effect in atomic physics. Bias dependence of the differential conductance and zero-frequency shot noise is also analyzed.

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Section: Introductionmentioning

confidence: 99%

Kondo-Dicke resonances in electronic transport through triple quantum dots

Trocha

Barnaś

2008

Phys. Rev. B

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“…In the last years, transport through arrays of a few QD's 25,26,27,28,29 and spin qubits in double QD's 30 have been studied theoretically.…”

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confidence: 99%

Spectral density of an interacting dot coupled indirectly to conducting leads

2007

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We study the spectral density of electrons ρ dσ (ω) in an interacting quantum dot (QD) with a hybridization λ to a non-interacting QD, which in turn is coupled to a non-interacting conduction band. The system corresponds to an impurity Anderson model in which the conduction band has a Lorentzian density of states of width ∆2. We solved the model using perturbation theory in the Coulomb repulsion U (PTU) up to second order and a slave-boson mean-field approximation (SBMFA). The PTU works surprisingly well near the exactly solvable limit ∆2 −→ 0. For fixed U and large enough λ or small enough ∆2, the Kondo peak in ρ dσ (ω) splits into two peaks. This splitting can be understood in terms of weakly interacting quasiparticles. Before the splitting takes place the universal properties of the model in the Kondo regime are lost. Using the SBMFA, simple analytical expressions for the occurrence of split peaks are obtained. For small or moderate ∆2, the side bands of ρ dσ (ω) have the form of narrow resonances, that were missed in previous studies using the numerical renormalization group. This technique also has shortcomings for describing properly the split Kondo peaks. As the temperature is increased, the intensity of the split Kondo peaks decreases, but it is not completely suppressed at high temperatures.

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“…We conclude that the ground state of the system is a non-degenerate singlet, which means that the system is a Fermi liquid for arbitrary parameters. This result justifies the use of slave-boson techniques appropriate for Fermi liquids [49,57,58]. We develop a generalization of the slave-boson mean-field approximation (SBMFA) technique, that correctly describes the low energy physics at zero temperature, and obtain the spectral densities of the impurity orbitals involved.…”

Section: Introductionmentioning

confidence: 92%

Two-stage three-channel Kondo physics for an FePc molecule on the Au(1 1 1) surface

Fernández¹,

Roura‐Bas²,

Camjayi³

et al. 2018

J. Phys.: Condens. Matter

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We study an impurity Anderson model to describe an iron phthalocyanine (FePc) molecule on Au(1 1 1), motivated by previous results of scanning tunneling spectroscopy (STS) and theoretical studies. The model hybridizes a spin doublet consisting in one hole at the [Formula: see text] orbital of iron and two degenerate doublets corresponding to one hole either in the 3d or in the 3d orbital (called π orbitals) with two degenerate Hund-rule triplets with one hole in the 3d orbital and another one in a π orbital. We solve the model using a slave-boson mean-field approximation (SBMFA). For reasonable parameters we can describe very well the observed STS spectrum between sample bias -60 mV to 20 mV. For these parameters the Kondo effect takes place in two stages, with different energy scales [Formula: see text] corresponding to the Kondo temperatures related with the hopping of the z and π orbitals respectively. There is a strong interference between the different channels and the Kondo temperatures, particularly the lowest one is strongly reduced compared with the value in the absence of the competing channel.

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Conductance through an array of quantum dots

Cited by 35 publications

References 53 publications

Kondo-Dicke resonances in electronic transport through triple quantum dots

Kondo-Dicke resonances in electronic transport through triple quantum dots

Spectral density of an interacting dot coupled indirectly to conducting leads

Two-stage three-channel Kondo physics for an FePc molecule on the Au(1 1 1) surface

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