Spherical quantum dot under an electric field

Vázquez, Gerardo J.; Castillo-Mussot, Marcelo del; Mendoza, Carlos I.; Spector, Harold N.

doi:10.1002/pssc.200304879

Cited by 23 publications

(10 citation statements)

References 11 publications

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“…Vazquez et al 46 has studied the variation of the shift of electron energy as a function of the dot radius for various electric fields. In their investigation it is found that for electric fields of about ten atomic units there is negligible shift of the electron energy for dot sizes up to about one and half 47 that the mutual cancellation of the sum of the piezoelectric and the spontaneous polarization in wurtzite ZnO dot-matrix structure leads to the negligible internal field.…”

Section: Theorymentioning

confidence: 99%

Quadrupole second harmonic generation and sum-frequency generation in ZnO quantum dots

2015

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The second harmonic generation (SHG) and the sum frequency generation (SFG) processes are investigated in the conduction band states of the singly charged ZnO quantum dot (QD) embedded in the HfO 2 , and the AlN matrices. With two optical fields of frequency ω p and ω q incident on the dot, we study the variation with frequency of the second order nonlinear polarization resulting in SHG and SFG, through the electric dipole and the electric quadrupole interactions of the pump fields with the electron in the dot. We obtain enhanced value of the second order nonlinear susceptibility in the dot compared to the bulk. The effective mass approximation with the finite confining barrier is used for obtaining the energy and wavefunctions of the quantized confined states of the electron in the conduction band of the dot. Our results show that both the SHG and SFG processes depend on the dot size, the surrounding matrix and the polarization states of the pump beams. C 2015 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License. [http://dx

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Section: Theorymentioning

confidence: 99%

Quadrupole second harmonic generation and sum-frequency generation in ZnO quantum dots

2015

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“…When the external fields are present, the spherical symmetry is violated and, therefore, calculation of the energy spectrum becomes complicated due to the fitting conditions at the interfaces. The influence of electric field on properties of nanosystems is described by the linear term with respect to the electric field in the Schrödinger equation for electron, so the problem can be solved using the variational method or perturbation theory for a simple spherical quantum dot [17,18] and spherical layer [19,20]. In the article [17], the Stark shift is calculated using the variational method within the framework of the infinite confining potential well model for electron in the spherical quantum dot.…”

Section: Introductionmentioning

confidence: 99%

“…The influence of electric field on properties of nanosystems is described by the linear term with respect to the electric field in the Schrödinger equation for electron, so the problem can be solved using the variational method or perturbation theory for a simple spherical quantum dot [17,18] and spherical layer [19,20]. In the article [17], the Stark shift is calculated using the variational method within the framework of the infinite confining potential well model for electron in the spherical quantum dot. The authors of [18] investigated intersubband absorption spectra in the simple spherical quantum dot with definite walls with or without hydrogen on-center impurity.…”

Section: Introductionmentioning

confidence: 99%

Effect of magnetic and electric fields on optical properties of semiconductor spherical layer

Holovatsky¹,

Bernik²

2014

Semicond. Phys. Quantum Electron. Optoelectron.

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Abstract. Theoretical investigation of the influence of magnetic and electric fields on the energy spectrum and wave functions of electron in semiconductor spherical layer has been performed. The case of co-directed electric and magnetic fields has been considered. The Schrödinger equation has been solved using the method of expansion for the wave function of electron in the spherical layer under external fields by applying the complete set of wave functions of a quasi-particle in a spherical nanostructure without the external fields. It has been shown that electric and magnetic fields take off the spectrum degeneration with respect to the magnetic quantum number. The external fields rebuild the energy spectrum and deform wave functions of electron. Moreover, their influence on the spherically symmetric state is the largest one. Increasing the magnetic field induction entails a monotonous dependence of the electron energy for the states with m  0 and non-monotonous one for the states with m < 0. The ground state of electron is successively formed by the states with m = 0, -1, -2, … with increasing the induction of magnetic field. The enhancement of the electric field mainly diminishes the electron energy. The influence of field on the energy and intensities of the 1p-1s intraband transition has been studied. It has been shown that there exists a certain value of the electric field, at which the energy of quantum transition doesn't depend on the magnetic field induction.

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“…Finally, it results that these electrostatic forces, and even Casimir force, have influence on the mechanical properties of cantilevers very dependent on the geometry of the cantilever tip [22]. Following this motivation and the experience obtained in the study of Stark effect with variational techniques in several geometries [7,8,23], we decided to study this effect in the tip of a typical cantilever of an atomic force microscope (AFM) using as a first approximation the geometry given by a wedge since, as a matter of fact, there exist commercial triangular-shaped silicon microcantilevers (Thermomicroscopes) [24].…”

Section: /23mentioning

confidence: 99%

Stark effect in a wedge-shaped quantum box

Reyes‐Esqueda

Mendoza²,

Castillo-Mussot

et al. 2005

Physica E: Low-dimensional Systems and Nanostructures

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The effect of an external applied electric field on the electronic ground state energy of a quantum box with a geometry defined by a wedge is studied by carrying out a variational calculation. This geometry could be used as an approximation for a tip of a cantilever of an atomic force microscope. We study theoretically the Stark effect as function of the parameters of the wedge: its diameter, angular aperture and thickness; as well as function of the intensity of the external electric field applied along the axis of the wedge in both directions; pushing the carrier towards the wider or the narrower parts. A confining electronic effect, which is sharper as the wedge dimensions are smaller, is clearly observed for the first case. Besides, the sign of the Stark shift changes when the angular aperture is changed from small angles to angles θ>π. For the opposite field, the electronic confinement for large diameters is very small and it is also observed that the Stark shift is almost independent with respect to the angular aperture. : 73.21.-b; 85.85.+j; 02.90.+p. PACS

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Spherical quantum dot under an electric field

Cited by 23 publications

References 11 publications

Quadrupole second harmonic generation and sum-frequency generation in ZnO quantum dots

Quadrupole second harmonic generation and sum-frequency generation in ZnO quantum dots

Effect of magnetic and electric fields on optical properties of semiconductor spherical layer

Stark effect in a wedge-shaped quantum box

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