Magnetoconductance switching in an array of oval quantum dots

Abstract

Employing oval shaped quantum billiards connected by quantum wires as the building blocks of a linear quantum dot array, we calculate the ballistic magnetoconductance in the linear response regime. Optimizing the geometry of the billiards, we aim at a maximal finite- over zero-field ratio of the magnetoconductance. This switching effect arises from a relative phase change of scattering states in the oval quantum dot through the applied magnetic field, which lifts a suppression of the transmission characteristic for a certain range of geometry parameters. It is shown that a sustainable switching ratio is reached for a very low field strength, which is multiplied by connecting only a second dot to the single one. The impact of disorder is addressed in the form of remote impurity scattering, which poses a temperature dependent lower bound for the switching ratio, showing that this effect should be readily observable in experiments.

11 pages, 8 figures

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• Magnetic field-induced control of transport in multiterminal focusing quantum billiards
• Current control by resonance decoupling and magnetic focusing in soft-wall billiards
• Energy Band Engineering of Periodic Scatterers by Quasi-1D Confinement