Transport through a coupled quantum dot system: Role of interdot interactions

Lamba, Subhalakshmi; Joshi, S. K.

doi:10.1103/physrevb.62.1580

Cited by 31 publications

(28 citation statements)

References 14 publications

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“…Later the same method was applied to some two-site models [206,207,208,209]. Multi-level systems were started to be considered only recently [210,211].…”

Section: General Nanoscale Quantum Transport Theorymentioning

confidence: 99%

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Green Function Techniques in the Treatment of Quantum Transport at the Molecular Scale

Ryndyk

Gutiérrez²,

Song

2009

Springer Series in Chemical Physics

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The theoretical investigation of charge (and spin) transport at nanometer length scales requires the use of advanced and powerful techniques able to deal with the dynamical properties of the relevant physical systems, to explicitly include out-of-equilibrium situations typical for electrical/heat transport as well as to take into account interaction effects in a systematic way. Equilibrium Green function techniques and their extension to non-equilibrium situations via the Keldysh formalism build one of the pillars of current state-of-the-art approaches to quantum transport which have been implemented in both model Hamiltonian formulations and first-principle methodologies. In this chapter we offer a tutorial overview of the applications of Green functions to deal with some fundamental aspects of charge transport at the nanoscale, mainly focusing on applications to model Hamiltonian formulations.

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“…Later the same method was applied to some two-site models [206,207,208,209]. Multi-level systems were started to be considered only recently [210,211].…”

Section: General Nanoscale Quantum Transport Theorymentioning

confidence: 99%

“…[205] Later the same method was applied to some two-site models. [206,207,208,214] Multi-level systems were started to be considered only recently. [210,211] For out-of-equilibrium situations (finite applied bias), there are some methodological unclarified issues for calculating correlation functions using EOM techniques.…”

Section: Coulomb Blockadementioning

confidence: 99%

Green Function Techniques in the Treatment of Quantum Transport at the Molecular Scale

Ryndyk

Gutiérrez²,

Song

2009

Springer Series in Chemical Physics

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“…Internal parameters of CQD are fully tunable thus allowing one to investigate, in a well-controlled manner, different regimes of interest. During the past years, the transport through series geometry of CQD has been studied extensively [10][11][12], using non-equilibrium Green function (NEGF) formalism, wherein it has been shown that current and differential conductance display oscillating variation with applied bias voltage. Inter-dot tunnelling splits the resonant peaks of conductance and transmission coefficient.…”

Section: Introductionmentioning

confidence: 99%

Inter-dot coupling effects on transport through correlated parallel coupled quantum dots

et al. 2009

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Transport through symmetric parallel coupled quantum dot system has been studied, using non-equilibrium Green function formalism. The inter-dot tunnelling with on-dot and inter-dot Coulomb repulsion is included. The transmission coefficient and Landaur-Buttiker like current formula are shown in terms of internal states of quantum dots. The effect of inter-dot tunnelling on transport properties has been explored. Results, in intermediate inter-dot coupling regime show signatures of merger of two dots to form a single composite dot and in strong coupling regime the behaviour of the system resembles the two decoupled dots.

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“…These two starting points were often used in theoretical studies of transport properties across coupled QDs (see e.g. [17][18][19]). Though the unitary transformation which diagonalizes the DQD Hamiltonian can be performed in equilibrium and non-equilibrium cases, both approaches are not fully equivalent as electrons at different states are spatially apart.…”

Section: Introductionmentioning

confidence: 99%

Electron Transport through Double Quantum Dot System with Inter-Dot Coulomb Interaction

Sztenkiel

Świrkowicz

2007

Acta Phys. Pol. A

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A theoretical approach to a problem of electron transport through double quantum dot systems based on non-equilibrium Green function formalism using equation of motion method is presented. I−V characteristics and differential conductance are calculated and discussed in detail in the intermediate regime with tunneling rate between the quantum dots comparable to coupling constants with external electrodes. Effects of inter-dot Coulomb correlations are studied for various values of interaction parameter U . It is shown that the interaction influences transport properties in a pronounced way and apart from the simple Coulomb blockade additional effects can be obtained. When energy levels of two quantum dots are not aligned, the asymmetry in conductance characteristics is closely related to a voltage dependence of population numbers in both quantum dots. For a one bias polarization electrons are well localized in quantum dots in a low voltage region, whereas for the opposite one they are partly delocalized.

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Transport through a coupled quantum dot system: Role of interdot interactions

Cited by 31 publications

References 14 publications

Green Function Techniques in the Treatment of Quantum Transport at the Molecular Scale

Green Function Techniques in the Treatment of Quantum Transport at the Molecular Scale

Inter-dot coupling effects on transport through correlated parallel coupled quantum dots

Electron Transport through Double Quantum Dot System with Inter-Dot Coulomb Interaction

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