Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers

Journal Article · 17 January 2022 · Nature Communications

DOI: https://doi.org/10.1038/s41467-022-27958-w · OSTI ID:1840645

Nakamura, J. ; Liang, S.; Gardner, G. C. ; Manfra, M. J.

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 Φ ₀ oscillations at higher and lower magnetic fields, consistent with theoretical predictions for detection of anyonic statistics. We estimate the electrostatic parameters K _I and K _{I L} 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 K _I and K _{I L} can account for the deviation of the phase jumps from the theoretical anyonic phase θ _a  = 2 π /3. At integer states, we find that K _I and K _{I L} can account for the Aharonov–Bohm and Coulomb-dominated behavior of different edge states.

• Sponsoring Organization: USDOE
• Grant/Contract Number: SC0020138
• OSTI ID: 1840645
• Journal Information: Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 13; ISSN 2041-1723
• Publisher: Nature Publishing GroupCopyright Statement
• Country of Publication: United Kingdom
• Language: English