Aharonov-Bohm oscillations in a mesoscopic ring with a quantum dot

Physics – Condensed Matter

Scientific paper

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11 pages, Revtex style, 3 figures under request. Submitted to Phys. Rev. B (rapid communications)

Scientific paper

10.1103/PhysRevB.52.R14360

We present an analysis of the Aharonov-Bohm oscillations for a mesoscopic ring with a quantum dot inserted in one of its arms. It is shown that microreversibility demands that the phase of the Aharonov-Bohm oscillations changes {\it abruptly} when a resonant level crosses the Fermi energy. We use the Friedel sum rule to discuss the conservation of the parity of the oscillations at different conductance peaks. Our predictions are illustrated with the help of a simple one channel model that permits the variation of the potential landscape along the ring.

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