Interacting electrons in the Aharonov-Bohm interferometer

Abstract

We present a microscopic picture of quantum transport in the Aharonov-Bohm (AB) interferometer taking into account electron interaction within the Hartree and the spin density functional theory approximations. We discuss the structure of the edge states for different number of the Landau levels in the leads, their coupling to the states in the central island and the formation of compressible/incompressible strips in the interferometer. Based on our results we discuss the existing theories of the unexpected AB periodicity, which essentially rely on specific phenomenological models of the states and their coupling in the interferometer. Our work provides a basis for such the theories, giving a detailed microscopic description of the propagating states and the global electrostatics in the system at hand.

10 pages, 7 figures

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• Theory of the Fabry-Perot Quantum Hall Interferometer
• Imaging Coulomb Islands in a Quantum Hall Interferometer
• Edge-mode velocities and thermal coherence of quantum Hall interferometers
• Electron-electron interactions in antidot-based Aharonov-Bohm interferometers
• Time-dependent transport in Aharonov-Bohm interferometers
• Correlated time-dependent transport through a 2D quantum structure
• Wave function description of conductance mapping for quantum Hall electron interferometer
• Coherent magnetotransport and time-dependent transport through split-gated quantum constrictions
• Flux-free conductance modulation in a helical Aharonov-Bohm interferometer
• Many-electron transport in Aharonov-Bohm interferometers: Time-dependent density-functional study
• Low-field quantum Hall transport in an electron Fabry-Perot interferometer: Determination of constriction filling vs front-gate voltage
• Edge channels in a graphene Fabry-Perot interferometer
• First-principles study of electron transport in few-electron open quantum dots by the Hartree-Fock approach
• Inferring the transport properties of edge-states formed at quantum Hall based Aharonov-Bohm interferometers theoretically