Time-evolution of electronic states in a Rashba anisotropic two-dimensional quantum dot

Amiri, F.; Shirkani, Hossein; Golshan, M.M.

doi:10.1016/j.spmi.2011.08.005

Cited by 3 publications

(2 citation statements)

References 15 publications

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“…e.g., Petreska has applied the concept of the anisotropic harmonic oscillator to different problems in Quantum Physics [28][29][30][31][32]. On the other hand, it serves also as a perfect model in the discussion of Quantum dots in condensed matter physics [33][34][35][36][37][38][39][40][41][42][43] and atomic physics [44][45][46][47][48][49][50][51][52][53]. In the noncommutative case, the discussions are mainly carried out in the noncommutative plane, i.e.…”

Section: Introductionmentioning

confidence: 99%

Energy corrections due to the noncommutative phase-space of the charged isotropic harmonic oscillator in a uniform magnetic field in 3D

Eser

Rıza

2021

Phys. Scr.

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In this study, we investigate the effects of noncommutative Quantum Mechanics in three dimensions on the energy-levels of a charged isotropic harmonic oscillator in the presence of a uniform magnetic field in the z-direction. The extension of this problem to three dimensions proves to be non-trivial. We obtain the first-order corrections to the energy-levels in closed form in the low energy limit of weak noncommutativity. The most important result we can note is that all energy corrections due to noncommutativity are negative and their magnitude increase with increasing Quantum numbers and magnetic field.

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Section: Introductionmentioning

confidence: 99%

Energy corrections due to the noncommutative phase-space of the charged isotropic harmonic oscillator in a uniform magnetic field in 3D

Eser

Rıza

2021

Phys. Scr.

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“…Along these lines, Martínez‐Orozco et al () considered the case of two coupled triangular 2DQDs, under the influence of a static electric field. Additional publications on this kind of nanostructures –including 2D quantum rings –appear in a group of very recent investigations which report on electronic and optical properties, impurity and excitonic states as well as on the effects of external perturbations like electric and magnetic fields, hydrostatic pressure, and temperature .…”

Section: Introductionmentioning

confidence: 99%

Shallow‐impurity‐related binding energy and linear optical absorption in ring‐shaped quantum dots and quantum‐well wires under applied electric field

Kohl

Restrepo

Duque

2015

Physica Status Solidi (b)

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p s s basic solid state physics b status solidi www.pss-b.com physica Shallow-impurity-related binding energy and linear optical absorption in ring-shaped quantum dots and quantum-well wires under applied electric field The electronic states of two-dimensional (2D) semiconductor quantum wells and quantum wires of disk-and ring-like geometries, under the application of lateral static electric fields, are investigated. The effects of a shallow hydrogenic impurity on the energy levels of both the electron and hole states are reported and the respective binding energies are calculated. The eigenfunctions and eigenvalues of the Hamiltonian are retrieved under the effective mass approximation applying adirect matrix diagonalization scheme in conjunction with a 2D finite element method. A finite confinement potential is chosen for the structures, which are embedded in a 2D-box bounded by a hard-wall potential. It is shown that the first order optical absorption coefficient strongly depends on the geometrical parameters and external perturbations of the systems allowing for an optimization of the opto-electronic properties through control of the latter.

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Laterally coupled circular quantum dots under applied electric field

Correa

Morales

Duque

2016

Physica E: Low-dimensional Systems and Nanostructures

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Time-evolution of electronic states in a Rashba anisotropic two-dimensional quantum dot

Cited by 3 publications

References 15 publications

Energy corrections due to the noncommutative phase-space of the charged isotropic harmonic oscillator in a uniform magnetic field in 3D

Energy corrections due to the noncommutative phase-space of the charged isotropic harmonic oscillator in a uniform magnetic field in 3D

Shallow‐impurity‐related binding energy and linear optical absorption in ring‐shaped quantum dots and quantum‐well wires under applied electric field

Laterally coupled circular quantum dots under applied electric field

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