Simultaneous effects of spin-orbit interaction and external electric field on the linear and nonlinear optical properties of a cubic quantum dot

Abstract

In this article simultaneous effects of external electric field and spin-orbit interaction on the linear and the nonlinear optical properties of a cubic quantum dot are studied. Based on the non-degenerate perturbation method, energy eigenvalues and eigenfunctions of the system under the influence of spin-orbit interaction are calculated. Furthermore, the linear and the nonlinear optical absorption coefficients and refractive index changes are obtained using the compact density matrix approach and iterative method. Our results show that, due to the spin-orbit interaction, resonant peak values of the optical absorption coefficients and refractive index changes decrease and occur at lower values of the incident photon energy. The variation of these optical parameters depend on the spin-orbit interaction strength, dot dimensions and external electric field.

Stark effect-dependent of impurity-related nonlinear optical absorption of a (In,Ga)N-GaN spherical quantum dot

“…The nonlinear term makes a considerable contribution to the magnitude of the total ac, especially for strong electric field values; i.e., in this case, its contribution to the total AC should be taken into account. It can be easily determined that the ACs as a function of the photon energy have a feature similar to those reported by a number of authors [20][21][22][23][24]30]. For a strained SQD, Chen et al [20] have found that as the built-in electric field (BEF) is taken into account all optical AC peaks are slightly shifted to higher energy; i.e., with the BEF, the total electric field decreases and then a blueshift is observed which supports our results.…”

“…Incidentally, Kostić and Stojanović [22] have examined the electric field effect on intersubband absorption spectra in CdTe/ZnTe spherical quantum dots (SQDs) using the exact solution to the Schrödinger and Poisson equations. For cubic QDs, the simultaneous effects of spin-orbit interaction and applied electric field on nonlinear optical properties are studied by Vaseghi et al [23] by means of the nondegenerate perturbation method. Zhang et al [17] have reported a theoretical study of the optical absorption coefficients and refractive index changes in parabolic QDs under the effects of electric and magnetic fields.…”

A theoretical study of nonlinear optical absorption and refractive index changes with the three-dimensional ring-shaped pseudoharmonic potential

“…In the researches above, changing the shapes and sizes of quantum systems is often used to do researches on nonlinear optical effects. For example, cubic [3,4], spherical [5][6][7][8], diskshaped [9][10][11][12], cylindrical [13][14][15], ring [16] quantum dots are studied by some researchers. Besides, there are many physical factors that have great influences on nonlinear optical effects.…”

“…Therefore, some authors do some researches by adding the number of electrons such as two electrons [9,17,18] and consider polaron [13,[19][20][21] and excitonic [22][23][24] effects. Moreover, the application of an electric field [14,16,18,25], a magnetic field [12,13,26], impurity [10,16,25], spin-orbit interaction [4,27] and external perturbation like hydrostatic pressure [14,16], temperature [14,16] and intense laser field [14,28,29], exhibits novel nonlinear optical phenomena. Besides, changing the confinement potential in quantum structures is a very useful method.…”