Optical properties in a two-dimensional quantum ring: Confinement   potential and Aharonov-Bohm effect
  Optical properties of a two-dimensional quantum ring with pseudopotential in the presence of an external magnetic field and magnetic flux have been theoretically investigated. Our results show that both of the pseudopotential and magnetic field can affect the third nonlinear susceptibility and oscillator strength. In addition, we found that the oscillator strength and the absolute value of the resonant peak of the linear, non-linear and total absorption coefficient vary periodically with magnetic flux, while the resonant peak value of the linear, non-linear and total refractive index changes decreases as magnetic flux increases. 
Shijun Liang and Wenfang Xie
cond-mat.mes-hall