Prediction of Aharonov-Bohm Oscillations on the Quantum Hall Plateaus of Small and Narrow Rings

作者：Jainendra K. Jain · 发表于：Physical Review Letters · 年份：1988 · DOI：10.1103/physrevlett.60.2074 · 被引用次数：56 · 研究领域：Quantum and electron transport phenomena、Advancements in Semiconductor Devices and Circuit Design、Molecular Junctions and Nanostructures

It is shown, by use of a Landauer-type formulation of the quantum Hall transport, that in small and narrow two-dimensional rings, the Hall quantization of ${\ensuremath{\rho}}_{\mathrm{xy}}$ is accompanied by a finite, but small, ${\ensuremath{\rho}}_{\mathrm{xx}}$ which exhibits periodic Aharonov-Bohm oscillations. These oscillations arise as a subtle consequence of the possible elastic backscattering of the current-carrying electrons in narrow channels.