Effects of magnetic field on the optical rectification in a cylindrical quantum dot

A theoretical study on the nonlinear optical rectification in a cylindrical quantum dot (CQD) in the presence of a uniform magnetic field by using the density matrix formalism and a perturbation method is presented. The energy levels and wave functions of an electron in the CQD were obtained by solving the timeindependent Schrödinger equation within the effective mass approximation. Numerical calculations are performed for a CQD of the type GaAs/AlGaAs. It was found that the increase in the dimensions of CQD and/or the magnetic field intensity cause an increase on the resonance peak intensity and a shift to lower energies regions (red shift). The physical reason for this behavior is attributed to the quantum confinement effect generated by the variation of the magnetic field strength and of the size of the nanostructure.