Aharonov-Bohm Effect and Rotation : Assessing the Effective Complex Dielectric Function in a Rotating 2D Quantum Ring

Abstract

Research into spinning systems is actively pursued across diverse fields within physics. This study explores the influence of an electron angular motion within two-dimensional quantum ring (2D-QR). Particular attention is given to the interplay between the Aharonov-Bohm (AB) impact and a constant-field magnetic environment. Utilizing the Schrödinger equation with minimal coupling, we introduce an effective four-potential to account for the system's rotational effects and derive the corresponding equations of motion. Additionally, a radial potential term, dependent on the average ring radius, is incorporated to further refine the analysis. By employing a standard iterative procedure, the analytical formula for the effective complex dielectric function (ECDF) is derived and its associated real and imaginary components are probed in response to various external perturbations. Varying the rotational metric significantly alters the electron cloud, leading to a centrifugal outcome that drives particle localization towards the edges of the ring. Regarding the imaginary part of ECDF, a remarkable asymmetry is observed in the system's response to frequency shifts. While a positive frequency excursion from 0 to 80 THz leads to a significant attenuation of the amplitude (reduced by a factor of 1.67), an analogous negative frequency shift (from 0 to -55 THz) produces an unexpected intensification with the amplitude increasing by a factor of 1.5. In addition, we found that a minimal alteration in the phase ϕ leads to a discernible jump in the peak amplitudes and a concomitant shift in their positions along the energy axis. In case of Ω = -30 THz, the photobleaching effect, resulting from the destructive interference occurring between the linear ($$ and nonlinear ($$ components, is slightly delayed even at I=1.5 MW/cm². Specific instruments, such as spectroscopic ellipsometers, intensity-controlled laser systems, and angle-resolved optical spectrometers, could benefit from our numerical exploration to further enhance their performance.