Anyon braiding and telegraph noise in a graphene interferometer
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917416192180224 |
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| author | Werkmeister, Thomas Ehrets, James R. Wesson, Marie E. Najafabadi, Danial H. Watanabe, Kenji Taniguchi, Takashi Halperin, Bertrand I. Yacoby, Amir Kim, Philip |
| author_facet | Werkmeister, Thomas Ehrets, James R. Wesson, Marie E. Najafabadi, Danial H. Watanabe, Kenji Taniguchi, Takashi Halperin, Bertrand I. Yacoby, Amir Kim, Philip |
| contents | The search for anyons, quasiparticles with fractional charge and exotic exchange statistics, has inspired decades of condensed matter research. Quantum Hall interferometers enable direct observation of the anyon braiding phase via discrete interference phase jumps when the quasiparticle number changes. Here, we observe the universal anyonic braiding phase in both the $ν= 1/3$ and $4/3$ fractional quantum Hall states by probing three-state random telegraph noise (RTN) in real-time. We find that the observed RTN stems from anyon quasiparticle number $n$ fluctuations and reconstruct three Aharonov-Bohm oscillation signals phase shifted by $2π/3$, corresponding to the three possible interference branches from braiding around $n$ (mod 3) anyons. Hence, we fully characterize the anyon exchange statistics using new methods that can readily extend to non-abelian states. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_18983 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anyon braiding and telegraph noise in a graphene interferometer Werkmeister, Thomas Ehrets, James R. Wesson, Marie E. Najafabadi, Danial H. Watanabe, Kenji Taniguchi, Takashi Halperin, Bertrand I. Yacoby, Amir Kim, Philip Mesoscale and Nanoscale Physics Strongly Correlated Electrons The search for anyons, quasiparticles with fractional charge and exotic exchange statistics, has inspired decades of condensed matter research. Quantum Hall interferometers enable direct observation of the anyon braiding phase via discrete interference phase jumps when the quasiparticle number changes. Here, we observe the universal anyonic braiding phase in both the $ν= 1/3$ and $4/3$ fractional quantum Hall states by probing three-state random telegraph noise (RTN) in real-time. We find that the observed RTN stems from anyon quasiparticle number $n$ fluctuations and reconstruct three Aharonov-Bohm oscillation signals phase shifted by $2π/3$, corresponding to the three possible interference branches from braiding around $n$ (mod 3) anyons. Hence, we fully characterize the anyon exchange statistics using new methods that can readily extend to non-abelian states. |
| title | Anyon braiding and telegraph noise in a graphene interferometer |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2403.18983 |