Aharonov-Bohm effect for an exciton in a finite width nano-ring

TL;DR

This paper investigates how the Aharonov-Bohm effect manifests for excitons in 2D nano-rings, revealing that radial motion and system size influence the oscillations and can suppress the effect.

Contribution

It extends previous 1D models to 2D annular lattices, analyzing the impact of radial motion and system size on the Aharonov-Bohm effect for excitons.

Findings

Radial motion introduces additional frequencies in the oscillations.

Localization effects enhance the similarity to 1D behavior.

Large system size suppresses the Aharonov-Bohm effect.

Abstract

We study the Aharonov-Bohm effect for an exciton on a nano-ring using a 2D attractive fermionic Hubbard model. We extend previous results obtained for a 1D ring in which only azimuthal motion is considered, to a more general case of 2D annular lattices. In general, we show that the existence of the localization effect, increased by the nonlinearity, makes the phenomenon in the 2D system similar to the 1D case. However, the introduction of radial motion introduces extra frequencies, different from the original isolated frequency corresponding to the excitonic Aharonov-Bohm oscillations. If the circumference of the system becomes large enough, the Aharonov-Bohm effect is suppressed.