Abstract
Studies of electronic interferometers, based on edge-channel transport in the quantum Hall effect regime, have been stimulated by the search for evidence of abelian and non-abelian anyonic statistics of fractional charges. In particular, the electronic Fabry–Pérot interferometer has been found to be Coulomb dominated, thus masking coherent Aharonov–Bohm interference patterns: the flux trapped within the interferometer remains unchanged as the applied magnetic field is varied, barring unobservable modulations of the interference area. Here we report on conductance measurements indicative of the interferometer's area ‘breathing' with the variation of the magnetic field, associated with observable (a fraction of a flux quantum) variations of the trapped flux. This is the result of partial (controlled) screening of Coulomb interactions. Our results introduce a novel experimental tool for probing anyonic statistics.
Highlights
Studies of electronic interferometers, based on edge-channel transport in the quantum Hall effect regime, have been stimulated by the search for evidence of abelian and non-abelian anyonic statistics of fractional charges
The AB phase underlying interference patterns evolves as 2pdfAB/f0 1⁄4 2p(AdB þ BdA0)/f0, where dfAB is the variation of the threaded flux through the Fabry–Perot interferometers (FPIs), B the applied magnetic field, A the area enclosed by the interfering edge channel and dA0 1⁄4 a?dVMG is the area variations due to the modulation gate
1/g is the voltage required to remove a single electron from the FPI3–6, which does not depend upon the magnetic field
Summary
Studies of electronic interferometers, based on edge-channel transport in the quantum Hall effect regime, have been stimulated by the search for evidence of abelian and non-abelian anyonic statistics of fractional charges. We report on conductance measurements indicative of the interferometer’s area ‘breathing’ with the variation of the magnetic field, associated with observable (a fraction of a flux quantum) variations of the trapped flux. This is the result of partial (controlled) screening of Coulomb interactions. The AB phase underlying interference patterns evolves as 2pdfAB/f0 1⁄4 2p(AdB þ BdA0)/f0, where dfAB is the variation of the threaded flux through the FPI, B the applied magnetic field, A the area enclosed by the interfering edge channel and dA0 1⁄4 a?dVMG is the area variations due to the modulation gate (but excluding the effect of Coulomb interaction as explained below). 1/g is the voltage required to remove a single electron from the FPI3–6, which does not depend upon the magnetic field (in similitude to the single-electron transistor[21])
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
