Semi-classical theory of Aharonov-Bohm oscillations under quantized Hall conditions

We demonstrate that the experimentally observed conductance oscillations through a gate-controlled quantum dot under quantized Hall conditions originate from a true Aharonov-Bohm phase that is acquired by the electrons as they co-propagate coherently through incompressible strips at a particular filling factor and enclose a certain magnetic flux within the dot. The absence of oscillations at certain filling factors is explained. The self-consistent screening theory of the integer quantized hall effect reveals the range of experimental parameters under which further intriguing oscillation patterns are observable.