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

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

2010-06-25

arxiv.org/abs/1006.5012v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 4 figures A substantially revised version is replaced, due to new results

Scientific paper

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.

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