Abstract
The second-harmonic generation (SHG) of parabolic quantum dots (QDs) with different confining potentials energies in the ρ and z directions under external electric and magnetic fields are studied theoretically. We have applied the compact-density-matrix approach and iterative method to obtain the SHG coefficients. The results indicate that the electric field and the size of QDs affect the peaks of SHG coefficient. In addition, the magnetic field and the radius of QDs not only strongly affect the value of the SHG peaks, but also cause the energy positions of the SHG coefficients to shift.
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