Wave packet propagation through branched quantum rings under applied magnetic fields

Sousa, A. A.; Chaves, Andrey; Pereira, T. A. S.; Farias, Gil de Aquino; Peeters, F. M.

doi:10.1016/j.physe.2019.113598

Cited by 2 publications

(3 citation statements)

References 31 publications

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“…The finite-difference method has been developed to solve the time-dependent problem. The electron is replaced by the wave packet (10), where 𝑥 0 is the initial position, 𝑎 is the initial dispersion. These are the additional free parameters, compared to the stationary case.…”

Section: Finite-difference Methodsmentioning

confidence: 99%

“…The second group of papers studies mainly the calculation of the optical properties of quantum rings when electrons scatter on them in a transverse magnetic field [6][7][8]. Some papers investigate the motion along a channel that splits at a certain point to form a ring [9,10].…”

Section: Introductionmentioning

confidence: 99%

“…The work [10] investigates the wave packet scattering. The ring-like channels of various shapes were used: circular, rectangular, semicircular.…”

Section: Introductionmentioning

confidence: 99%

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Modeling and Visualization of Electron Scattering on Quantum Rings

Muzykina

Sibirmovsky

2023

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The problem of scattering of quasi-dimensional electrons on a potential in the form of a quantum ring and a quantum dot is solved. The problem is addressed as a part of analysis of quantum interference effects in semiconductor nanostructures with nontrivial geometry as well as for the design of nanoelectronic devices based on them. In contrast to existing works, algorithms for solving both stationary and non-stationary Schrödinger equation with arbitrary scattering potential are developed here. Analytical and finite-difference methods are used, which makes it possible to obtain an arbitrarily accurate solution, with which the process of electron scattering on a quantum ring is modeled and visualized. This visualization allows us to discover how the shape of the quantum ring affects the angular distribution of the scattering amplitude as well as determine the presence of a self-interference of the scattered electron wave function.

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Section: Finite-difference Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Modeling and Visualization of Electron Scattering on Quantum Rings

Muzykina

Sibirmovsky

2023

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Terahertz photo-generated current in a two-dimensional quantum dot system

Oliveira

Costa

Farias

et al. 2020

Journal of Applied Physics

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The photo-generated current due to electronic transitions in a semiconductor planar quantum dot attached to outgoing leads is theoretically investigated. An electron is confined in the dot by a pure quantum mechanical effect, which is due to the higher ground state energy of the quantum wells forming the leads, as compared to the one in the dot. The dynamics of such a confined electron interacting with a light pulse is investigated by numerically solving a time-dependent Schrödinger equation within the effective mass approximation and goes beyond the lowest order perturbative approach. Our results show the coexistence of both linear and non-linear contributions to the photo-generated current in this system, sharply peaked at frequencies in the terahertz range, which are further tunable by the quantum dot radius. The peaks can be made even sharper as one adds a narrow constriction in the dot–leads connection. The details of the dependence of the peaks’ frequency, intensity, and sharpness on system parameters are discussed.

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Wave packet propagation through branched quantum rings under applied magnetic fields

Cited by 2 publications

References 31 publications

Modeling and Visualization of Electron Scattering on Quantum Rings

Modeling and Visualization of Electron Scattering on Quantum Rings

Terahertz photo-generated current in a two-dimensional quantum dot system

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