Linear and nonlinear susceptibilities of a D− system in a semiconductor quantum ring

• A D− system confined in a quantum ring is investigated.
• The transition energy exhibits optical oscillation as the external magnetic field changes.
• The peak position and peak height occur optical oscillation at the linear and nonlinear susceptibilities.

A D-D- system confined in a semiconductor quantum ring, which is threaded by a magnetic field, has been studied by using the exact diagonalization method within the effective-mass approximation. We have investigated the magnetic field effect on the linear and the third-order nonlinear susceptibilities on basis of the density matrix formalism. We have found that the transition energy exhibits optical oscillation as the external magnetic field changes, along with the linear and nonlinear susceptibilities of the D-D- system in a semiconductor quantum ring. The results have shown that it is possible to control the frequency shift and the intensity in the linear and nonlinear susceptibilities of the D-D- system by varying the external magnetic field and the ring width in a semiconductor quantum ring. Both the peak position and peak height occur optical oscillation at the linear and nonlinear susceptibilities, implying a possible observation of the D-D- system by the optical experiment.