We study the Aharonov-Bohm effect for an exciton on a nanoring 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. © 2005 The American Physical Society.
|Journal||Physical Review B: Condensed Matter and Materials Physics|
|Publication status||Published - 15 Aug 2005|