A Theoretical Study of Magnetic Properties of Parabolic Quantum Dots in the Presence of Spin-orbit Interaction

Using the theoretical formalism of O. Voskoboynikov et al.[J Appl. Phys., 94, 5891 (2003)],[J. Appl. Phys. 59, 1 (2000)] and [Phys. Rev. B63, 165306 (2001)], we have theoretically evaluated magnetization and magnetic susceptibility of parabolic quantum dots in the presence of spin orbit interaction. We observe the following facts: Our theoretical analysis indicate that magnetization and magnetic susceptibility show quite interesting properties at low temperature. One observes abrupt change of the magnetization and susceptibility at low magnetic fields. This type of physical behavior is due to the alternative level crossing between spin-split electron levels in the energy spectrum. This is essentially due to spin-orbit interaction. Our calculation also demonstrate that if one uses the parameter of InAs semiconductor quantum dots then one observes the enhancement of the par magnetism of the dots. This effect can be controlled by the effect of external electric fields or the dot design. The theoretical analysis of the paper also reveals the fact that magnetic properties are elegantly can be studied with the help of parabolic QDs. It is the parabolic (cylindrical coordinate ( ( , )   ) which demonstrates the dynamics of the charge carriers in the dots. In this way, the work reported in this paper will be quite helpful in the area of instrument design using parabolic QDs. Pinku Sharma, et al., J. Pure Appl. & Ind. Phys. Vol.8 (10), 134-144 (2018) 135