Nanospherical heterolayer in strong electrostatic field

Harutyunyan, V.A.

doi:10.1007/s13204-012-0087-7

Cited by 13 publications

(3 citation statements)

References 37 publications

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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 article [19] is dedicated to the study of the electron energy shift in the spherical layer with impenetrable walls within the model of the perturbation theory. The analytical calculation of the influence of strong electric field on electron states was performed in [20]. But the proposed theory is applicable only for limit case of a "thin enough" layer laying fairly far from the center of the system, which not always corresponds to real nanosystems.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Introductionmentioning

confidence: 99%

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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“…In the case of cylindrical QD [6][7][8][9][10] there are two such parameters: the cross-sectional radius and height of the cylinder. For the spherical quantum layer [11,12] the geometrical parameters are the internal and external radiuses. The cylindrical quantum layer already has three geometric parameters: the height of the cylinder, and its inner and outer radiuses [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Quasi-conical quantum dot: electron states and quantum transitions

Kazaryan,

Petrosyan,

Shahnazaryan

et al. 2014

Preprint

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The exactly solvable model of quasi-conical quantum dot, having a form of spherical sector is proposed. Due to the specific symmetry of the problem the separation of variables in spherical coordinates is possible in the one-electron Schrodinger equation. Analytical expressions for wave function and energy spectrum are obtained. It is shown that at small values of the stretch angle of spherical sector the problem reduced to the conical QD problem. The comparison with previously performed works showed good agreement of results. As an application of the obtained results, the quantum transitions in the system are considered.

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Two Electron States in a Quantum Ring on a Sphere

2014

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An analytical solution of the quantum problem of an electron on a spherical segment with angular confinement potential of the form of rectangular impenetrable walls is presented. It is shown that the problem is reduced to finding solution of hypergeometric equation. As an application of the obtained results the quantum transitions in this system are discussed, and it is shown that the selection rule for quantum number l is removed due to the violation of spherical symmetry of the problem.

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Nanospherical heterolayer in strong electrostatic field

Cited by 13 publications

References 37 publications

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

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

Quasi-conical quantum dot: electron states and quantum transitions

Two Electron States in a Quantum Ring on a Sphere

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