Excitonic Aharonov-Bohm effect in a two-dimensional quantum ring

Abstract

We study theoretically the optical properties of an exciton in a two-dimensional ring threaded by a magnetic flux. We model the quantum ring by a confining potential that can be continuously tuned from strictly one-dimensional to truly two-dimensional with finite radius-to-width ratio. We present an analytic solution of the problem when the electron-hole interaction is short-ranged. The oscillatory dependence of the oscillator strength as a function of the magnetic flux is attributed to the Aharonov-Bohm effect. The amplitude of the oscillations changes upon increasing the width of the quantum ring. We find that the Aharonov-Bohm oscillations of the ground state of the exciton decrease with increasing the width, but remarkably the amplitude remains finite down to radius-to-width ratios less than unity. We attribute this resilience of the excitonic oscillations to the non-simply connectedness of our chosen confinement potential.

7 pages, 7 figures

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Cited by in corpus (10)

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• Study of electronic properties, Magnetization and persistent currents in a mesoscopic ring by controlled curvature
• Modification of Landau levels in a two-dimensional ring due to rotation effects and edge states
• Tuning terahertz transitions in a double-gated quantum ring
• Remarks on the Study of Electronic Properties and Photoionization Process in Rotating 2D Quantum Rings
• Electric and magnetic fields effects on the excitonic properties of elliptic core-multishell quantum wires
• Nonlinear fiber gyroscope for quantum metrology
• Exact Solutions for a Quantum Ring with a Dipolar Impurity
• Rotating effects on the Hall conductivity in a quantum dot