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Superlattices and Microstructures

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

Reza Khordad, Hossein Bahramiyan

Published Oct 13, 2014• 52 citations
Publisher

Abstract

In this paper, we have studied the effect of electron–phonon (e–p) interaction on the second harmonic generation (SHG) and third harmonic generation (THG) of modified Gaussian quantum dots within the framework of the compact density matrix approach and iterative method. We have obtained the energy eigenvalues and their corresponding eigenfunctions of the system without e–p interaction and under the influence of electron–LO phonon, electron–SO phonon, and electron–LO + SO phonon interaction. It is found that the effect of the electron–phonon interaction has a great influence on the second and third harmonic generation of the system. The effect of electron–SO phonon on the SHG and THG is greater than the electron–LO phonon. The electron–LO + SO-phonon interaction has the largest contribution to the SHG and THG.

DOI
10.1016/j.spmi.2014.09.036

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In this paper, we have studied the effect of electron–phonon (e–p) interaction on the second harmonic generation (SHG) and third harmonic generation (THG) of modified Gaussian quantum dots within the framework of the compact density matrix approach and iterative method. We have obtained the energy eigenvalues and their corresponding eigenfunctions of the system without e–p interaction and under the influence of electron–LO phonon, electron–SO phonon, and electron–LO + SO phonon interaction. It is found that the effect of the electron–phonon interaction has a great influence on the second and third harmonic generation of the system. The effect of electron–SO phonon on the SHG and THG is greater than the electron–LO phonon. The electron–LO + SO-phonon interaction has the largest contribution to the SHG and THG.
In the present work, we have studied the second-harmonic generation (SHG) and third-harmonic generation (THG) in a pyramid quantum dot. For this purpose, we first obtain the energy levels and wavefunctions of this system. Then, we have used an analytic expression for the SHG and THG by a compact density matrix approach and an iterative procedure. The SHG and THG enhance and shift to lower energies by increasing the height (h) and vertex angle (φ). According to the results, it is found that the structural parameters have great influence on the SHG and THG of a pyramid quantum dot.
In the present work, we have studied numerically the second harmonic generation (SHG) and third harmonic generation (THG) in a cone-like quantum dot. For this purpose, we firstly obtained the energy levels and wave functions of this system. Then, we have used an expression for the SHG and THG by a compact density matrix approach and an iterative procedure. The SHG and THG enhance and shift toward lower energy by increasing the height h and vertex angle α. According to the results it is found that the structural parameters have great influence on the THG in this system.
The influence of electron–phonon interaction on third-harmonic generation in cylindrical quantum wires are investigated. The third-harmonic generation coefficient is obtained using compact-density-matrix approach and iterative method, and the numerical results are presented for GaAs cylindrical quantum wires. The results show that the third-harmonic generation coefficient is greatly enhanced after taking into consideration the influence of electron–phonon interaction. It is about thirty times larger than that obtained by just considering electron states when electron–phonon resonance is met.
Abstract In the current work, we have studied the second and third harmonic generation in asymmetrical Gaussian potential quantum dot subjected to the applied electric field. To do this, confined wave function together with energies of electron in an effective mass approximation framework were obtained. Apply these, the analytic expression for the second- and third harmonic generation are determined using a compact density matrix approach and an iterative procedure. According to the results, it is found that applying an electric field, enhances the peak values of the second- and third harmonic generation and redshifts the peak position of their spectrum. Our calculations indicate that increases the radius of quantum dot causes enhances the values of -harmonic generation and redshifts the peak positions of photon energy. It means by optimizing the confinement potential, the maximum –harmonic generation can be obtained. It should be noted that the structural parameters have a significant effect on the –harmonic generation in the considered system.