Interatomic Coulombic electron capture in atomic, molecular, and quantum dot systems

Bande, Annika; Pont, Federico M.; Gokhberg, Kirill; Cederbaum, Lorenz S.

doi:10.1051/epjconf/20158407002

Cited by 6 publications

(15 citation statements)

References 45 publications

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“…We adopt here the model for the DQD used previously to study the dynamics of ICEC 33,40 and ICD. 25,26,28 The dots are represented by two Gaussian wells aligned in z direction.…”

Section: Modelmentioning

confidence: 99%

Electron-correlation driven capture and release in double quantum dots

Pont

Bande

Cederbaum³

2016

J. Phys.: Condens. Matter

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We recently predicted that the interatomic Coulombic electron capture (ICEC) process, a longrange electron correlation driven capture process, is achievable in gated double quantum dots (DQDs). In ICEC an incoming electron is captured by one QD and the excess energy is used to remove an electron from the neighboring QD. In this work we present systematic full threedimensional electron dynamics calculations in quasi-one dimensional model potentials that allow for a detailed understanding of the connection between the DQD geometry and the reaction probability for the ICEC process. We derive an effective one-dimensional approach and show that its results compare very well with those obtained using the full three-dimensional calculations. This approach substantially reduces the computation times. The investigation of the electronic structure for various DQD geometries for which the ICEC process can take place clarify the origin of its remarkably high probability in the presence of two-electron resonances.

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“…We adopt here the model for the DQD used previously to study the dynamics of ICEC 33,40 and ICD. 25,26,28 The dots are represented by two Gaussian wells aligned in z direction.…”

Section: Modelmentioning

confidence: 99%

Electron-correlation driven capture and release in double quantum dots

Pont

Bande

Cederbaum³

2016

J. Phys.: Condens. Matter

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“…Besides the kinetic energy operators

\hat{T}

for both electrons and the electron‐electron repulsion term

r_{12}^{- 1 / 2} = | r_{1} - r_{2} |^{- 1 / 2}

(cf. Computational Details), the Hamiltonian contains the quasi one‐dimensional model potential for each electron in all three spatial dimensions which is given according to the effective mass approximation in atomic units as:

V_{EMA}^{el} (r_{i}) = 0.5 ω_{⊥}^{2} (x_{i}^{2} + y_{i}^{2}) - D_{L} \cdot e^{- b_{L} {(z_{i} + \frac{R}{2})}^{2}} - D_{R} \cdot e^{- b_{R} {(z_{i} - \frac{R}{2})}^{2}} .

…”

Section: Theorymentioning

confidence: 99%

“…For the evaluation of the six‐dimensional Coulomb integrals at each time step of the electron‐dynamics calculation we use, as in earlier calculations of QD ICD and of the related QD interatomic Coulombic electron capture process, the POTFIT algorithm to transform the regularized Coulomb potential [eq. ] into a sum of products of one‐dimensional single‐particle potentials (SPPs)

υ^{false(κ false)}

V_{i_{1}, \dots, i_{f}}^{PF} = \sum_{j_{1} = 1}^{m_{1}} . .. \sum_{j_{f} = 1}^{m_{f}} C_{j_{1}, \dots, j_{f}} υ_{i_{1}, j_{1}}^{false(1 false)} \dots υ_{i_{f}, j_{f}}^{false(f false)},

where the index i runs along the grid and the index j along the SPP basis functions.…”

Section: Theorymentioning

confidence: 99%

“…For the evaluation of the six-dimensional Coulomb integrals at each time step of the electron-dynamics calculation we use, as in earlier calculations of QD ICD [18][19][20] and of the related QD interatomic Coulombic electron capture process, [41,42,47] the POTFIT algorithm to transform the regularized Coulomb potential [eq. (3)] into a sum of products of one-dimensional singleparticle potentials (SPPs) t ðjÞ :…”

Section: Computational Detailsmentioning

confidence: 99%

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Geometrical control of the interatomic coulombic decay process in quantum dots for infrared photodetectors

et al. 2016

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In electron dynamics calculations the interatomic Coulombic decay (ICD) process has recently been shown to take place in two vertically-aligned quantum dots (QDs). Energy emitted during the relaxation of one electron in one QD is converted into kinetic energy of another electron ejected from a neighboring QD.As the electronic structure of QDs can be controlled by their geometries, we prove here in thorough scans of the transversal and vertical QD confinement potentials' widths that geometries are likewise control parameters for ICD. Such a comprehensive investigation has been enabled by a significant development of the calculations in terms of speed achieved among others by optimization of the grid and Coulomb interaction operator representations. As key result of this study we propose two cigarshaped singly-charged GaAs QDs vertically aligned in the direction of their long side for a most efficient QD ICD realization useful for an infrared photodetector. Keywords:Dynamics 1A next-generation quantum dot infrared photodedector is proposed in which radiation absorption and electron emission are localized on either of two vertically-aligned singly-charged GaAs quantum dots among which an efficient energy transfer process, the interatomic Coulombic decay, is operative. Speed-optimized highly-accurate electron dynamics calculations on numerous architectures reveal how the performance may be custom-made through tuning the quantum dots' geometries.2

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“…The decaying resonance excited state is typically prepared by either inner-valence ionization [3,4,27], resonant excitation [28,29,30,31], electron [4,32,33,34,35,36], or ion impact [4,37].…”

Section: Introductionmentioning

confidence: 99%