Transmission properties of electron in quantum rings

Abstract

We investigated the transmission probability of a single electron transmission through a quantum ring device based on the single-band effective mass approximation method and transfer matrix theory. The time-dependent Schrödinger equation is applied on a Gaussian wave packet passing through the quantum ring system. The electron tunneling resonance peaks split when the electron transmits through a double quantum ring. The splitting energy increases as the distance between the two quantum rings decreases. We studied the tunneling time through the single electron transmission quantum ring from the temporal evolution of the Gaussian wave packet. The electron probability density is sensitive to the thickness of the barrier between the two quantum rings.

Donor impurity states in elliptical quantum rings subjected to a magnetic field

“…The simplest model of the QR is the ideal circle QR (CQR) which has been studied by many groups [12][13][14][15][16][17][18]. However, some authors [19][20][21] have pointed out that the optical properties and electronic states of actual structures are strongly affected by both impurities and geometrical imperfections in the system, and that because imperfections occur in the growth and fabrication processes, an actual quantum ring may be closer to an elliptical QR (EQR) than a CQR.…”

Electron states in a semiconductor quantum ring in parallel magnetic field

“…Transmission property was studied in double quantum ring and dependence of electron probability density on thickness was also studied [15] In this paper, a theoretical model will be given to study the electron energy states in a cylindrical quantum ring of wide-gap semiconductor [n-GaAs] in the presence of magnetic field. All possible dimensional variations are taken into account to see the change of energy values and magnetic field effect was observed for different thickness on eigenstates.…”