Effects of Geometry on the Electronic Properties of Semiconductor Elliptical Quantum Rings

Vinasco, J.A.; Radu, A.; Kasapoğlu, E.; Restrepo, R.L.; Morales, A. L.; Feddi, E.; Duque, C.A.

doi:10.1038/s41598-018-31512-4

Cited by 43 publications

(11 citation statements)

References 73 publications

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“…The wavefunctions and corresponding energies associated with Equation ( 2) have been obtained by implementing the FEM [52][53][54][55][56]. Within the COMSOL-Multiphysics licensed software [54][55][56], a user-controlled mesh was chosen in order to achieve greater control over discretization.…”

Section: Theoretical Modelmentioning

confidence: 99%

Shallow Donor Impurity States with Excitonic Contribution in GaAs/AlGaAs and CdTe/CdSe Truncated Conical Quantum Dots under Applied Magnetic Field

et al. 2021

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Using the effective mass approximation in a parabolic two-band model, we studied the effects of the geometrical parameters, on the electron and hole states, in two truncated conical quantum dots: (i) GaAs-(Ga,Al)As in the presence of a shallow donor impurity and under an applied magnetic field and (ii) CdSe–CdTe core–shell type-II quantum dot. For the first system, the impurity position and the applied magnetic field direction were chosen to preserve the system’s azimuthal symmetry. The finite element method obtains the solution of the Schrödinger equations for electron or hole with or without impurity with an adaptive discretization of a triangular mesh. The interaction of the electron and hole states is calculated in a first-order perturbative approximation. This study shows that the magnetic field and donor impurities are relevant factors in the optoelectronic properties of conical quantum dots. Additionally, for the CdSe–CdTe quantum dot, where, again, the axial symmetry is preserved, a switch between direct and indirect exciton is possible to be controlled through geometry.

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Section: Theoretical Modelmentioning

confidence: 99%

Shallow Donor Impurity States with Excitonic Contribution in GaAs/AlGaAs and CdTe/CdSe Truncated Conical Quantum Dots under Applied Magnetic Field

et al. 2021

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“…We can use this control, which is also experimentally realizable [25], to optimize the down-conversion process without breaking the symmetry of the matter subsystem. Finally, due to the rotational symmetry [25,48,49], a simple matteronly analysis would indicate that no (efficient) downconversion takes place. Due to the rotational symmetry of the eigenstates, only transitions that change the angular momentum by one (see also a detailed discussion in App.…”

Section: A Semiconductor Quantum Ring In Multi-mode Photonic Environmentmentioning

confidence: 99%

Down-conversion processes in ab-initio non-relativistic quantum electrodynamics

Welakuh,

Ruggenthaler,

Tchenkoue

et al. 2021

Preprint

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The availability of efficient photon sources with specific properties is important for quantumtechnological applications. However, the realization of such photon sources is often challenging and hence alternative perspectives that suggest new means to enhance desired properties while suppressing detrimental processes are valuable. In this work we highlight that ab-initio simulations of coupled light-matter systems can provide such new avenues. We show for a simple model of a quantum ring that by treating light and matter on equal footing we can create and enhance novel pathways for down-conversion processes. By changing the matter subsystem as well as the photonic environment in experimentally feasible ways, we can engineer hybrid light-matter states that enhance at the same time the efficiency of the down-conversion process and the non-classicality of the created photons. Furthermore we show that this also leads to a faster down-conversion, potentially avoiding detrimental decoherence effects.

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“…Also, we are supposing we just have interest in the study of the dynamics of electrons on the surface S. Thus, we can imagine that the surface S corresponds to a given material with effective mass M 1 while the region perpendicular to S contains a different material with a different effective M 2 . An example of a study dealing with two different effective masses can be accessed in [51]. In addition, we can justify our interest in investigate anisotropic mass since some semiconductors materials, like Ge and Si, present ellipsoidal energy surfaces, related to different effective masses depending on the direction [52].…”

Section: The Anisotropic Effective Mass and Schr öDinger Equation In ...mentioning

confidence: 99%

Quantum particle motion on the surface of a helicoid in the presence of harmonic oscillator

Ribeiro¹,

Cunha²,

Filgueiras³

et al. 2020

Preprint

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The geometric potential in quantum mechanics has been attracted attention recently, providing a formalism to investigate the influence of curvature in the context of low-dimensional systems. In this paper, we study the consequences of a helicoidal geometry in the Schrödinger equation dealing with an anisotropic mass tensor. In particular, we solve the problem of an harmonic oscillator in this scenario. We determine the eigenfunctions in terms of Confluent Heun Functions and compute the respective energy levels. The system exhibit several different behaviors, depending on the adjustment on the mass components.

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Effects of Geometry on the Electronic Properties of Semiconductor Elliptical Quantum Rings

Cited by 43 publications

References 73 publications

Shallow Donor Impurity States with Excitonic Contribution in GaAs/AlGaAs and CdTe/CdSe Truncated Conical Quantum Dots under Applied Magnetic Field

Shallow Donor Impurity States with Excitonic Contribution in GaAs/AlGaAs and CdTe/CdSe Truncated Conical Quantum Dots under Applied Magnetic Field

Down-conversion processes in ab-initio non-relativistic quantum electrodynamics

Quantum particle motion on the surface of a helicoid in the presence of harmonic oscillator

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