Optical transitions in geometrical quantum islands

Alves, Fabrizio M.; Aristone, Flávio; Marques, G. E.

doi:10.1016/j.spmi.2004.11.007

Cited by 6 publications

(3 citation statements)

References 16 publications

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“…In addition to these studies, the hydrogenic donor binding energy has been surveyed as theoretically by many authors for QDs which have different geometries such as spherical, cylindrical, pyramidal and rectangular. [14][15][16][17][18][19][20] Riberio and Latge 21 worked on a cubic quantum heterostructures and they have showed that the binding energy values are close to those of cubic and spherical QDs which have near volume. Bose and Sarkar 22 have used perturbation and variation technique to obtain hydrogenic donor binding energies in a spherical QD for an infinite parabolic confinement.…”

Section: Introductionmentioning

confidence: 99%

The electronic properties of a core/shell/well/shell spherical quantum dot with and without a hydrogenic impurity

Taş

Şahin

2012

Journal of Applied Physics

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In this study, we have performed a detailed investigation of the electronic properties of a core/shell/well/shell multi-layered spherical quantum dot, such as energy eigenvalues, wave functions, electron probability distribution and binding energies. The energy eigenvalues and their wave functions of the considered structure have been calculated for cases with and without an on-center impurity. For this purpose, the Schrödinger equation has been numerically solved by using the shooting method in the effective mass approximation for a finite confining potential. The electronic properties have been examined for different core radii, barrier thickness and well widths in a certain potential. The results have been analyzed in detail as a function of the layer thickness and their physical reasons have been interpreted. It has found that the electronic properties are strongly depending on the layer thickness.

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Section: Introductionmentioning

confidence: 99%

The electronic properties of a core/shell/well/shell spherical quantum dot with and without a hydrogenic impurity

Taş

Şahin

2012

Journal of Applied Physics

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“…Although in earlier theoretical works the confining potential was mainly considered as parabolic, which was appropriate for the QDs with many electrons and simplified the calculations, later much attention was paid to the confining potential determined by the QD shape. As examples, the spherical QDs ͑SQDs͒, 4-8 semispherical QDs ͑SSQDs͒, 4,9 ellipsoidal QDs ͑EQDs͒, 8,10,11 lens QDs ͑LQDs͒, 8,12,13 conical QDs, 14 and 8 piramidal QDs were considered in recent literature. It is interesting that QDs of even the same shape were treated by means of different approaches.…”

Section: Introductionmentioning

confidence: 99%

Interlevel electromagnetic response of quantum dots of shapes with uniaxial rotation symmetry

Бондаренко

Zhao

2006

Phys. Rev. B

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Within the density response and density matrix formalisms, employing the self-consistent field approach in the quasistatic limit it is considered the interlevel infrared electromagnetic response of individual infinite deep quantum dots ͑QDs͒ as well as of two-dimensional infinite square lattices of the identical QDs of different shapes with uniaxial rotation symmetry: semispherical, lens, slightly ellipsoidal, and cylindrical. It is shown that the QD shape can critically affect the interlevel optical properties of the considered QD systems, in particular, the dependence of the QD polarizability upon the polarization of the incident radiation. To facilitate consideration of the dipole coupled interlevel transitions and of the formation of ͑interacting͒ modes of the electron interlevel collective excitation, and calculation of the absorption spectra for the QDs, illustrative maps of the transitions are utilized and the concept of the "m family" for the eigenstates is found to be fruitful, where m is the magnetic quantum number labeling the eigenstates of the QDs. It is shown that the shape and size of QDs can impact the depolarization effect considerably. Numerical calculations show that the dipole-dipole interaction approximation very well describes the depolarization shift caused by the interdot electron-electron interaction for each of the considered QD shapes and for any reasonable values of the size parameters of the lattices.

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“…Later much attention was paid to the confining potential determined by the QD shape. For example, the spherical QDs (SQDs), 2-6 semispherical QDs (SSQDs), 3,7 ellipsoidal QDs (EQDs), 6,8,9 lens QDs (LQDs), 6,10,11 conical QDs, 12 and piramidal QDs 6 were considered in recent literature. To simplify calculations the symmetric shapes of QDs are frequently used, though even in such cases the three-dimensionality of QDs creates serious difficulty for calculations.…”

Section: Introductionmentioning

confidence: 99%

Interlevel optical properties of systems of quantum dots

Bondarenko

Zhao

2005

SPIE Proceedings

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Infrared interlevel electromagnetic response of different quantum dot (QD) systems is investigated theoretically within the self-consistent field approach. Individual QDs as well as lattices of QDs electromagnetically interacting are considered. The Coulomb interaction in the QD systems is shown to essentially affect the optical spectra of the systems. Systems of QDs with uniaxial rotation symmetry are considered. It is shown that the shape of QD can dramatically affect the spectra, in particular, depending on the polarization of incident radiation and number of electrons in the dot. It is shown that the Coulomb interaction in the QD systems causes the depolarization shift of the peak(s) in the spectra, can affect the peak(s) height, and cause the peak split. It is numerically established that the approximation of the point dipole-dipole interaction can be used for adequate representation of the effect of the dynamic interdot electron-electron interaction on the spectra of the considered QD lattices. It is found that the effects of the intradot and interdot Coulomb interactions on the response can be analyzed separately. Effect of the intradot electron-electron interaction on the spectra is considered for different QD sizes and shapes. Illustrative maps of the interlevel transitions are utilized to facilitate application of the approach of the modified oscillator strength for reproducing the absorption spectra of the considered QD systems with interacting modes of the collective excitation. The results obtained can be useful for designing nanooptoelectronics devises based on the QDs, and engineering composite materials including the QDs with predermined optical properties.

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Optical transitions in geometrical quantum islands

Cited by 6 publications

References 16 publications

The electronic properties of a core/shell/well/shell spherical quantum dot with and without a hydrogenic impurity

The electronic properties of a core/shell/well/shell spherical quantum dot with and without a hydrogenic impurity

Interlevel electromagnetic response of quantum dots of shapes with uniaxial rotation symmetry

Interlevel optical properties of systems of quantum dots

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