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The optical exciton Aharonov-Bohm effect, i. e. an oscillatory component inthe energy of optically active (bright) states, is investigated in nanorings.It is shown that a small effective electron mass, strong confinement of theelectron, and high barrier for the hole, achieved e. g. by an InAs nanoringembedded in an AlGaSb quantum well, are favorable for observing the opticalexciton Aharonov-Bohm effect. The second derivative of the exciton energy withrespect to the magnetic field is utilized to extract Aharonov-Bohm oscillationseven for the lowest bright state unambiguously. A connection between thetheories for infinitesimal narrow and finite width rings is established.Furthermore, the magnetization is compared to the persistent current, whichoscillates periodically with the magnetic field and confirms thus thenon-trivial (connected) topology of the wave function in the nanoring.Comment: 12 pages, 11 figure

Optical exciton Aharonov-Bohm effect, persistent current, and magnetization in semiconductor nanorings of type I and II