Magnetic field induced resistance properties at filling factor 5/2 consistent with non-Abelian e/4 quasiparticles in multiple sized interferometers

TL;DR

This study confirms the non-Abelian e/4 quasiparticle properties at 5/2 filling factor through resistance oscillation measurements in multiple interferometers, supporting their unique quantum behavior.

Contribution

The paper provides experimental evidence of non-Abelian e/4 quasiparticles at 5/2 filling factor using multiple interferometers with different areas.

Findings

Resistance oscillations match expected flux quanta for parity change

Oscillation periods are device-area specific

Results support non-Abelian quasiparticle theory at 5/2 filling

Abstract

Non-Abelian e/4 quasiparticles at 5/2 filling factor in a correlated two-dimensional electron gas have a proposed specific property in an interference measurement of their edge propagation: encircling an even number of localized e/4 quasiparticles allows expression of e/4 Aharonov-Bohm (A-B) oscillations, but suppression of these oscillations will occur with an odd number encircled. This picture is tested explicitly here in multiple interferometers of different areas. The encircled localized e/4 quasiparticle number near 5/2 filling factor is changed by sweeping B-field, and oscillations are observed in resistance near 5/2 of period specific to that device area for each interferometer. The product of the measured interferometric area of each device and the respective 5/2 resistance oscillation period is found to agree with the expected flux quanta addition needed for parity change in the localized e/4 number. This result shows a highly specific non-Abelian property of the quasiparticle excitations at 5/2 filling expressed in multiple interferometers.