Optical properties of excitons in quantum dots: diffraction of an electromagnetic plane wave by a spherical quantum dot

Silvestri, Leonardo; Bassani, F.; Czajkowski, G.

doi:10.1016/s0022-3697(00)00206-7

Cited by 4 publications

(7 citation statements)

References 49 publications

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“…This approximation corresponds to that made by Atanasov et al [30,31] (the concept of an average electric field); see also [32], where an analogous approach was used for quantum wells, and [33] for the case of spherical quantum dots.…”

Section: Constitutive Equationsmentioning

confidence: 79%

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Optical properties of Quantum Disks: Real density matrix approach

Czajkowski¹,

Silvestri

2006

Open Physics

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Abstract:We show how to compute the optical response of a Quantum Disk (QDisk) to an electromagnetic wave as a function of the incident wave polarization, in the energetic region of interband transitions. Both the TM and TE polarization in guided-wave geometry are analyzed. The method uses the microscopic calculation of Quantum Disk eigenfunctions and the macroscopic real density matrix approach to compute the effective QDisk susceptibility, taking into account the valence band structure of the QDisk material and the Coulomb interaction between the electron and the hole. Analytical expressions for the QDisk susceptibility are obtained for a certain model electron -hole potential. Using these expressions, all optical functions can be computed. Results for the absorption coefficient are computed for InAs/GaAs QDisks. Fair agreement with experiments is obtained.

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Section: Constitutive Equationsmentioning

confidence: 79%

“…Other shapes of D m (ρ e , ρ h ), for example an exponential form, can be considered [33], but it does not change much the absorption lineshapes. Making use of the Green's function (21) we have computed the amplitudes Y and from them the polarization and the mean susceptibility.…”

Section: Te-polarizationmentioning

confidence: 99%

Optical properties of Quantum Disks: Real density matrix approach

Czajkowski¹,

Silvestri

2006

Open Physics

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“…Therefore various approximations have been proposed (for a review see, for example, [1] and references therein). One of them was the so-called heavy hole approximation, where only the electron motion was considered upon the attraction caused by the hole located at the center of the nanostructure (quantum dot [2][3][4], or disk [5]). In addition, for quantum disks the eh interaction was assumed in the two-dimensional limit [5].…”

mentioning

confidence: 99%

Magnetooptical properties of quantum disks in the Faraday configuration

Schillak

Czajkowski

2009

Phys. Status Solidi (c)

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We show how to compute the optical functions (the complex magneto‐susceptibility, dielectric function, magneto‐reflection spectra) for semiconductor quantum disks exposed to a uniform magnetic field in the growth direction, including the excitonic effects. The optical response is calculated for an electromagnetic wave propagating in the growth direction, i.e. the wavevector is parallel to the static magnetic field, which corresponds to the so‐called Faraday configuration. The method uses the microscopic calculation of nanostructure excitonic wave functions and energy levels, and the macroscopic real density matrix approach to compute the electromagnetic fields and susceptibilities.The electron‐hole screened Coulomb potential is adapted. The novelty of our approach is that the solution is obtained in terms of known one‐particle electron and hole eigenfunctions, since, in the considered nanostructure due to confinement effects accompanied by the e‐h Coulomb interaction, the separation of the relativeand center‐of‐mass motion is not possible. We obtain both the eigenvalues and the eigenfunctions. The convergence of the proposed method is examined. Numerical calculations have been performed for In0.55Al0.45As (disk)/ Al0.35Ga0.65As (barrier) disks. Good agreement with experiments has been obtained. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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“…Notice right here that exactly the same assumption has been used to model in a F-P-K way the formation of surface nanostructure arrays [16]. Therein, an experimentally-observed passage between direct curvature-dependent ripening of matter nano-islands (our densely-packed agglomeration), and inverse ripening, with an elastic-field caused contraction of growing quantum dots [17] (our sparselydistributed agglomeration of matter), has been presented.…”

Section: A Basic System Of Equations Describing Model Matter Agglomer...mentioning

confidence: 81%

“…In [16] a condition of setting the current equal to zero, J = 0, has been chosen to balance diffusive and non-diffusive terms in the F-P-K type description, cf. [10], aiming at getting a proper behavior of the metastable nanostructure [17] arrays. We are of the opinion that such a proposal is legitimate in the relatively low-temperature domain.…”

Section: B Thermodynamic Potentials Driving Matter Agglomerationsmentioning

confidence: 99%

Agglomeration/Aggregation and Chaotic Behaviour in d-Dimensional Spatio-Temporal Matter Rearrangements Number-Theoretic Aspects

Gadomski¹,

Ausloos

Understanding Complex Systems

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bydgoszcz.pl and ‡University of Liège, SUPRATECS, Euroland marcel.ausloos@ulg.ac.be Matter gets organized at several levels of structural rearrangements. At a mesoscopic level one can distinguish between two types of rearrangements, conforming to different close-packing or densification conditions, appearing during different evolution stages. The cluster formations appear to be temperature-and space-dimension dependent. They suffer a type of Verhulst-like saturation (frustration) when one couples the growing (instability) and mechanical stress relaxation modes together. They manifest a chaotic behavior both in space and time domains. We pretend to offer a comprehensive and realistic picture of a material or mega-cluster formation in d dimension. I. INRODUCTIONMatter organisations at a mesoscopic (molecular-cluster) level typically manifest a multitude of microstructural rearrangements. Cluster-cluster aggregations of proteins and/or colloids, phase separations, flocculation-coagulation phase transformations, sol-gel systems, (wet) sand or rice piles, etc., are manifestations of loosely-packed rearrangements, typically occurring under moderate or high temperature conditions. In contrast ripened polycrystals, sintered powders, soap froths and bubbles, and other cellular systems, constitute a type of rearrangement that usually emerges in a (relatively) low temperature limit and under certain ("field dependent") matter close-packing constraints. Beside such an agglomeration, fracture, desaggregation, desorption, dissolution, and alike, can be thought to be

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Optical properties of excitons in quantum dots: diffraction of an electromagnetic plane wave by a spherical quantum dot

Cited by 4 publications

References 49 publications

Optical properties of Quantum Disks: Real density matrix approach

Optical properties of Quantum Disks: Real density matrix approach

Magnetooptical properties of quantum disks in the Faraday configuration

Agglomeration/Aggregation and Chaotic Behaviour in d-Dimensional Spatio-Temporal Matter Rearrangements Number-Theoretic Aspects

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