Charging time effects and transient current beats in horizontal and vertical quantum dot systems

Kwapiński, T.; Taranko, R.

doi:10.1016/j.physe.2014.06.006

Cited by 10 publications

(5 citation statements)

References 46 publications

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“…Increasing the complexity of the tunneling device has resulted in the time-resolved simulation of electron-correlation effects in extended systems, such as correlated double quantum dots with initial correlations [68], one-dimensional wires [130,452,453], magnetic skyrmions [454], image-charge effects in molecular junctions [70], graphene flakes [222], and carbon nanotubes [455]. The Nambu-spinor representation (equation ( 206)) has also been employed for the study of electron-correlation effects in superconducting nanowires in an out of equilibrium [456] (figure 13(b)).…”

Section: Electronic Transportmentioning

confidence: 99%

A many-body approach to transport in quantum systems: from the transient regime to the stationary state

Ridley

Talarico

Karlsson

et al. 2022

J. Phys. A: Math. Theor.

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We review one of the most versatile theoretical approaches to the study of time-dependent correlated quantum transport in nano-systems: the non-equilibrium Green's function (NEGF) formalism. Within this formalism, one can treat, on the same footing, inter-particle interactions, external drives and/or perturbations, and coupling to baths with a (piece-wise) continuum set of degrees of freedom. After a historical overview on the theory of transport in quantum systems, we present a modern introduction of the NEGF approach to quantum transport. We discuss the inclusion of inter-particle interactions using diagrammatic techniques, and the use of the so-called embedding and inbedding techniques which take the bath couplings into account non-perturbatively. In various limits, such as the non-interacting limit and the steady-state limit, we then show how the NEGF formalism elegantly reduces to well-known formulae in quantum transport as special cases. We then discuss non-equilibrium transport in general, for both particle and energy currents. Under the presence of a time-dependent drive -- encompassing pump--probe scenarios as well as driven quantum systems -- we discuss the transient as well as asymptotic behavior, and also how to use NEGF to infer information on the out-of-equilibrium system. As illustrative examples, we consider model systems general enough to pave the way to realistic systems. These examples encompass one- and two-dimensional electronic systems, systems with electron--phonon couplings, topological superconductors, and optically responsive molecular junctions where electron--photon couplings are relevant.

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Section: Electronic Transportmentioning

confidence: 99%

A many-body approach to transport in quantum systems: from the transient regime to the stationary state

Ridley

Talarico

Karlsson

et al. 2022

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

show abstract

“…Increasing the complexity of the tunneling device has resulted in the time-resolved simulation of electron-correlation effects in extended systems, such as correlated double quantum dots with initial correlations [68], one-dimensional wires [131,408,409], magnetic skyrmions [410], image-charge effects in molecular junctions [70], graphene flakes [223], and carbon nanotubes [411]. The Nambu-spinor representation [Eq.…”

Section: Electronic Transportmentioning

confidence: 99%

A many-body approach to transport in quantum systems: From the transient regime to the stationary state

Ridley,

Talarico,

Karlsson

et al. 2022

Preprint

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We review one of the most versatile theoretical approaches to the study of time-dependent correlated quantum transport in nano-systems: the non-equilibrium Green's function (NEGF) formalism. Within this formalism, one can treat, on the same footing, inter-particle interactions, external drives and/or perturbations, and coupling to baths with a (piece-wise) continuum set of degrees of freedom. After a historical overview on the theory of transport in quantum systems, we present a modern introduction of the NEGF approach to quantum transport. We discuss the inclusion of inter-particle interactions using diagrammatic techniques, and the use of the so-called embedding and inbedding techniques which take the bath couplings into account non-perturbatively. In various limits, such as the non-interacting limit and the steady-state limit, we then show how the NEGF formalism elegantly reduces to well-known formulae in quantum transport as special cases. We then discuss nonequilibrium transport in general, for both particle and energy currents. Under the presence of a time-dependent drive -encompassing pump-probe scenarios as well as driven quantum systems -we discuss the transient as well as asymptotic behavior, and also how to use NEGF to infer information on the out-of-equilibrium system.As illustrative examples, we consider model systems general enough to pave the way to realistic systems. These examples encompass one-and two-dimensional electronic systems, systems with electron-phonon couplings, topological superconductors, and optically responsive molecular junctions where electron-photon couplings are relevant.

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“…Such electron currents can be obtained from the evolution of the total number of electrons of the corresponding electrode 1 . For the normal lead we can express it as 38,50,51,57,68 :…”

Section: Subgap Currentsmentioning

confidence: 99%

“…9,14 From the periods of the current beats it is possible to estimate the values of the QDs energy levels or the hopping parameters between them. 38,51,57 The transient current characteristics can be also used to determine the spin relaxation time in some QD systems. 4 Such phenomena have been investigated for QDs coupled to the normal leads as a result of the bias voltage pulse, 5,22,29,31,36,41,53,60,75 driven by an arbitrary time-dependent bias, 26,27,40,53,61 by a sequence of rectangular pulses applied to the input lead 17,32 or applied to the contact gradually switched on in time.…”

Section: Introductionmentioning

confidence: 99%

Time-dependent Andreev bound states of a quantum dot coupled to two superconducting leads

Taranko,

Kwapinski,

Domanski

2018

Preprint

Self Cite

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Sub-gap transport properties of a quantum dot (QD) coupled to two superconducting and one metallic leads are studied theoretically, solving the time-dependent equation of motion by the Laplace transform technique. We focus on time-dependent response of the system induced by a sudden switching on the QD-leads couplings, studying the influence of initial conditions on the transient currents and the differential conductance. We derive analytical expressions for measurable quantities and find that they oscillate in time with the frequency governed by the QD-superconducting lead coupling and acquire damping, due to relaxation driven by the normal lead. Period of these oscillations increases with the superconducting phase difference φ. In particular, for φ = π the QD occupancy and the normal current evolve monotonically (without any oscillations) to their stationary values. In such case the induced electron pairing vanishes and the superconducting current is completely blocked. We also analyze time-dependent development of the Andreev bound states. We show, that the measurable conductance peaks do not appear immediately after sudden switching of the QD coupling to external leads but it takes some finite time-interval for the system needs create these Andreev states. Such time-delay is mainly controlled by the QD-normal lead coupling.

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Charging time effects and transient current beats in horizontal and vertical quantum dot systems

Cited by 10 publications

References 46 publications

A many-body approach to transport in quantum systems: from the transient regime to the stationary state

A many-body approach to transport in quantum systems: from the transient regime to the stationary state

A many-body approach to transport in quantum systems: From the transient regime to the stationary state

Time-dependent Andreev bound states of a quantum dot coupled to two superconducting leads

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