Frequency dependent linear and non-linear response properties of electron impurity doped quantum dots: Influence of impurity location

We explore the pattern of frequency-dependent linear and non-linear optical (NLO) response of electron impurity doped quantum dots harmonically confined in two dimensions. For some fixed values of transverse magnetic field strength (ωcωc), and harmonic confinement potential (ω0ω0), the influence of impurity location (x0,y0x0,y0) on the diagonal components of frequency dependent linear (αxxαxx and αyyαyy), and the first (βxxxβxxx and βyyyβyyy) NLO responses of the dot is computed through linear variational route. The non-linear polarizabilities undergo maximization at some typical oscillation frequency of the external field depending upon the impurity location.