Abstract
Quantum Hall interferometers have been used to probe fractional charge and statistics of quasiparticles. We present measurements of a small Fabry–Perot interferometer in which the electrostatic coupling constants which affect interferometer behavior can be determined experimentally. Near the center of the ν = 1/3 state this device exhibits Aharonov–Bohm interference interrupted by a few discrete phase jumps, and Φ0 oscillations at higher and lower magnetic fields, consistent with theoretical predictions for detection of anyonic statistics. We estimate the electrostatic parameters KI and KIL by two methods: using the ratio of oscillation periods in compressible versus incompressible regions, and from finite-bias conductance measurements. We find that the extracted KI and KIL can account for the deviation of the phase jumps from the theoretical anyonic phase θa = 2π/3. At integer states, we find that KI and KIL can account for the Aharonov–Bohm and Coulomb-dominated behavior of different edge states.
Highlights
Quantum Hall interferometers have been used to probe fractional charge and statistics of quasiparticles
Electronic interferometers using quantum point contacts (QPCs) to partition edge states have been proposed as a method to probe both the fractional charge and fractional braiding statistics of quasiparticles[23–26], and substantial theoretical work has been made to understand the behavior of quantum Hall interferometers[27–31], including their application to non-Abelian states[32–36]
With QPCs tuned to weak backscattering, oscillations in the conductance across the interferometer will occur with δG / cosðθÞ, enabling fractional charge and statistics to be probed through transport measurements
Summary
Quantum Hall interferometers have been used to probe fractional charge and statistics of quasiparticles. At ν = 1/3, the behavior expected for this regime where the bulk is compressible is that upon the addition of magnetic flux Φ0, a quasiparticle will be removed from the device (or a quasihole will be added), giving a shift in the anyonic phase of −2π/3 which cancels out the Aharonov–Bohm contribution to the phase.
Sign-in/Register to view highlights & summary 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.
