de Haas-van Alphen and Aharonov-Bohm-type Persistent Current Oscillations in Singly Connected Quantum Dots
Uri SivanSchool of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, IsraelY. ImrySchool of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel
1988en
ABI
Abstract
We discuss the effect of edge states on the de Haas-van Alphen oscillations in a small singly connected sample made of a 2D electron gas in the quantum-Hall-effect regime. We find that because of the "ring topology" of these states the magnetization oscillates with a period $\frac{\mathrm{hc}}{e}$ in the total flux through the system. This oscillation survives a substantial amount of disorder. Its detectability is discussed and a related oscillation in the longitudinal and transverse resistances suggested.
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