Influence of noise shape on excitation kinetics of impurity doped quantum dots

Abstract

-Noise influences the functioning of nanomaterials and optoelectronic materials to a significant extent. We investigate the excitation kinetics of a repulsive impurity doped quantum dot initiated by the application of external white noise with special reference to noise shape. We have exploited white noise of Gaussian and Lorentzian shapes. The said shapes in effect alter the range of spatial correlation of the white noise. We have considered both additive and multiplicative noise (in Stratonovich sense). In conjunction with the shape, the noise strength and the dopant location also fabricate the kinetics in a delicate way. Moreover, the influences of additive and multiplicative nature of the noise on the excitation kinetics have been observed to be prominently different. Interestingly as well as surprisingly enough, in case of additive noise, the noise strength does not affect the kinetics. The investigation reveals that the Lorentzian shape invites more diversities in the excitation kinetics when noise strength and dopant location are varied over a range than the Gaussian one. The Lorentzian shape causes a surge in the excitation rate over the other shape. The present investigation provides some useful perceptions of the functioning of mesoscopic devices where noise plays some profound role. Implications and influences: The present work assumes to have significance in engineering and technological applications of quantum dot nanodevices. Since in most of the devices noise plays some important role, the present study could also sincerely motivate further research on optical properties of those devices in presence of noise.