Phase shifts and phase $\pi$-jumps in four-terminal waveguide Aharonov-Bohm interferometers

Abstract

Quantum coherent properties of electrons can be studied in Aharonov-Bohm (AB) interferometers. We investigate both experimentally and theoretically the transmission phase evolution in a four-terminal quasi-one-dimensional AlGaAs/GaAs-based waveguide AB ring. As main control parameter besides the magnetic field, we tune the Fermi wave number along the pathways using a top-gate. Our experimental results and theoretical calculations demonstrate the strong influence of the measurement configuration upon the AB-resistance-oscillation phase in a four-terminal device. While the non-local setup displays continuous phase shifts of the AB oscillations, the phase remains rigid in the local voltage-probe setup. Abrupt phase jumps are found in all measurement configurations. We analyze the phase shifts as functions of the magnetic field and the Fermi energy and provide a detailed theoretical model of the device. Scattering and reflections in the arms of the ring are the source of abrupt phase jumps by $\pi$.

8 pages, 5 figures

References in corpus (10)

• Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
• A knitting algorithm for calculating Green functions in quantum systems
• Magnetic field dependent transmission phase of a double dot system in a quantum ring
• Transmission phase of a singly occupied quantum dot in the Kondo regime
• Aharonov-Bohm oscillations in a mesoscopic ring with asymmetric arm-dependent injection
• Bolometric Detection of Quantum Shot Noise in Coupled Mesoscopic Systems
• Universality of Bias- and Temperature-induced Dephasing in Ballistic Electronic Interferometers
• Aharonov-Bohm effect in many-electron quantum rings
• Wave packet approach to transport in mesoscopic systems
• An efficient and accurate method to obtain the energy-dependent Green function for general potentials

Cited by in corpus (10)

• The split-operator technique for the study of spinorial wavepacket dynamics
• Braess paradox at the mesoscopic scale
• Time-dependent simulation and analytical modelling of electronic Mach-Zehnder interferometry with edge-states wave packets
• Mesoscopic behavior of the transmission phase through confined correlated electronic systems
• Dynamics and Hall-edge-state mixing of localized electrons in a two-channel Mach-Zehnder interferometer
• Time-dependent approach to transport and scattering in atomic and mesoscopic physics
• Multisubband transport and magnetic deflection of Fermi electron trajectories in three terminal junctions and rings
• Time-dependent wave packet simulations of transport through Aharanov-Bohm rings with an embedded quantum dot
• Mode-filtered electron injection into a waveguide interferometer
• Field effect induced mesoscopic devices in depleted two dimensional electron systems