Quantum dots (QDs) are acclaimed low-dimensional nanosystems, where we find complete spatial arrest of the motion of the carriers (electrons and holes). Their extremely small dimension helps them display quantum manifestations through various size-dependent physical properties. These properties can be tuned externally thereby making QDs immensely valuable components of technologically advanced devices. As a result, we frequently find research works that analyze various aspects of the low-dimensional nanosystems, [1][2][3][4][5][6][7][8] particularly emphasizing their nonlinear optical (NLO) responses. The effective confinement potential (ECP) of QD principally controls its energy spectrum and the eigenstates. Thus, modulation of ECP can be useful to tailor its properties and consequent applications in fabricating advanced quantum devices. Doping of impurity to QD influences its ECP, which, in turn, profoundly modulates its physical properties. Consequently, studies delving into the impurity effects in QD and other low-dimensional nanosystems are found to be quite abundant.