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Anyon braiding and telegraph noise in a graphene interferometer
Thomas Werkmeister1, James R Ehrets2, Marie E Wesson1
1John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA, USA.
Science (New York, N.Y.)
|April 10, 2025
Summary
Researchers observed anyon quasiparticle braiding phases in fractional quantum Hall states using real-time random telegraph noise. This finding reconstructs interference signals, paving the way for studying non-abelian anyons.
Area of Science:
- Condensed matter physics
- Quantum Hall effect
- Topological matter
Background:
- Anyons are quasiparticles with fractional charge and exotic exchange statistics.
- Quantum Hall interferometers allow observation of anyon braiding phases.
- Previous studies focused on observing braiding phases indirectly.
Purpose of the Study:
- To directly observe anyon braiding phases in fractional quantum Hall states.
- To investigate the role of quasiparticle number fluctuations in interference phenomena.
- To develop methods applicable to non-abelian anyon interference.
Main Methods:
- Utilized quantum Hall interferometers to probe fractional quantum Hall states at filling factors 1/3 and 4/3.
- Employed real-time measurement of three-state random telegraph noise (RTN).
- Analyzed RTN to identify quasiparticle number fluctuations and reconstruct interference signals.
Main Results:
- Observed braiding phase in both filling factor 1/3 and 4/3 fractional quantum Hall states.
- Confirmed that RTN originates from anyon quasiparticle number fluctuations.
- Reconstructed three Aharonov-Bohm oscillation signals phase-shifted by 2π/3.
Conclusions:
- The study provides direct evidence of anyon braiding phases through RTN analysis.
- The observed phenomena correspond to interference from braiding around n (mod 3) anyons.
- The developed methods are extendable to the study of non-abelian anyons.
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