The Analytical Study of Electronic and Optical Properties of Pyramid-Like and Cone-Like Quantum Dots

Abstract

The analytical expressions for electron wave function of pyramid-like and cone-like quantum dot located on the semiconductor surface are obtained. The energy spectrum of electron states in the quantum dots is calculated. The dependence of energy levels on the angle at the vertex of an edge-shaped nanodots is studied. The distribution of electron density for different electronic states is calculated for each case. The dependence of function of linear response to the external field on vertex angle is calculated in the frame of proposed approach. The local field distributions for both pyramid-and cone-like particles are calculated.

Finite difference time domain simulation of arbitrary shapes quantum dots

“…Effect of impurity position on the electronic structure, hydrogenic impurity binding energy and third harmonic generation of a pyramid and a cone like quantum dot was investigated by Khordad and Bahramian [40]. Also, Lozovski and Piatnytsia [41] analytically obtained energy eigenfunctions and eigenvalues of pyramid-like and cone-like QDs located on the semiconductor surface.…”

Direct Interband Light Absorption in Conical Quantum Dot

“…Theoretical study of physical processes in the CQD was held in [5][6][7][8][9]. It should be noted that for the theoretical description the form of confining potential of observed nanostructure has fundamental importance.…”

“…On the other hand, the authors of papers [5,8,9,12] considered the profile of the confining potential of CQD in the frame of the model of a rectangular infinitely deep well. It is noteworthy that the infinitely deep confining potential allows the partial separation of variables, and this greatly facilitates the description of CQDs.…”

The second and third-harmonic generation of modified Gaussian quantum dots under influence of polaron effects

“…Hitherto, the electronic and optical properties of quantum dots have been widely studied [1][2][3][4][5][6]. With development of the novel nanofabrication technologies such as chemical lithography, molecular beam epitaxy (MBE), etching method and Stranski-Krastanov, it has been possible to fabricate semiconductor quantum dots with various geometrical shapes and sizes like spherical, pyramidal, ellipsoidal, lens-shaped, cone-like [7][8][9][10]. In the past few years, the various confinement potential models have usually employed in the study of physical properties of quantum dots.…”