Interference Measurements of Non-Abelian e/4 & Abelian e/2 Quasiparticle Braiding
The quantum Hall states at filling factors ν=5/2 and 7/2 are expected to have Abelian charge-e/2 quasiparticles and non-Abelian charge-e/4 quasiparticles. The non-Abelian statistics of the latter is predicted to display a striking interferometric signature, the even-odd effect. By measuring resistan...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2023-03-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.13.011028 |
| _version_ | 1828001384942796800 |
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| author | R. L. Willett K. Shtengel C. Nayak L. N. Pfeiffer Y. J. Chung M. L. Peabody K. W. Baldwin K. W. West |
| author_facet | R. L. Willett K. Shtengel C. Nayak L. N. Pfeiffer Y. J. Chung M. L. Peabody K. W. Baldwin K. W. West |
| author_sort | R. L. Willett |
| collection | DOAJ |
| description | The quantum Hall states at filling factors ν=5/2 and 7/2 are expected to have Abelian charge-e/2 quasiparticles and non-Abelian charge-e/4 quasiparticles. The non-Abelian statistics of the latter is predicted to display a striking interferometric signature, the even-odd effect. By measuring resistance oscillations as a function of the magnetic field in Fabry-Pérot interferometers using new high-purity heterostructures, we for the first time report experimental evidence for the non-Abelian nature of excitations at ν=7/2. At both ν=5/2 and 7/2, we also examine, for the first time, the fermion parity, a topological quantum number of an even number of non-Abelian quasiparticles. The phase of observed e/4 oscillations is reproducible and stable over long times (hours) near both filling factors, indicating stability of the fermion parity. At both fractions, when phase fluctuations are observed, they are predominantly π phase flips, consistent with either fermion parity change or change in the number of the enclosed e/4 quasiparticles. We also examine lower-frequency oscillations attributable to Abelian interference processes in both states. Taken together, these results constitute new evidence for the non-Abelian nature of e/4 quasiparticles; the observed lifetime of their combined fermion parity further strengthens the case for their utility for topological quantum computation. |
| first_indexed | 2024-04-10T06:28:32Z |
| format | Article |
| id | doaj.art-77e502d1f12d426295eed52bd334a45a |
| institution | Directory Open Access Journal |
| issn | 2160-3308 |
| language | English |
| last_indexed | 2024-04-10T06:28:32Z |
| publishDate | 2023-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj.art-77e502d1f12d426295eed52bd334a45a2023-03-01T16:54:50ZengAmerican Physical SocietyPhysical Review X2160-33082023-03-0113101102810.1103/PhysRevX.13.011028Interference Measurements of Non-Abelian e/4 & Abelian e/2 Quasiparticle BraidingR. L. WillettK. ShtengelC. NayakL. N. PfeifferY. J. ChungM. L. PeabodyK. W. BaldwinK. W. WestThe quantum Hall states at filling factors ν=5/2 and 7/2 are expected to have Abelian charge-e/2 quasiparticles and non-Abelian charge-e/4 quasiparticles. The non-Abelian statistics of the latter is predicted to display a striking interferometric signature, the even-odd effect. By measuring resistance oscillations as a function of the magnetic field in Fabry-Pérot interferometers using new high-purity heterostructures, we for the first time report experimental evidence for the non-Abelian nature of excitations at ν=7/2. At both ν=5/2 and 7/2, we also examine, for the first time, the fermion parity, a topological quantum number of an even number of non-Abelian quasiparticles. The phase of observed e/4 oscillations is reproducible and stable over long times (hours) near both filling factors, indicating stability of the fermion parity. At both fractions, when phase fluctuations are observed, they are predominantly π phase flips, consistent with either fermion parity change or change in the number of the enclosed e/4 quasiparticles. We also examine lower-frequency oscillations attributable to Abelian interference processes in both states. Taken together, these results constitute new evidence for the non-Abelian nature of e/4 quasiparticles; the observed lifetime of their combined fermion parity further strengthens the case for their utility for topological quantum computation.http://doi.org/10.1103/PhysRevX.13.011028 |
| spellingShingle | R. L. Willett K. Shtengel C. Nayak L. N. Pfeiffer Y. J. Chung M. L. Peabody K. W. Baldwin K. W. West Interference Measurements of Non-Abelian e/4 & Abelian e/2 Quasiparticle Braiding Physical Review X |
| title | Interference Measurements of Non-Abelian e/4 & Abelian e/2 Quasiparticle Braiding |
| title_full | Interference Measurements of Non-Abelian e/4 & Abelian e/2 Quasiparticle Braiding |
| title_fullStr | Interference Measurements of Non-Abelian e/4 & Abelian e/2 Quasiparticle Braiding |
| title_full_unstemmed | Interference Measurements of Non-Abelian e/4 & Abelian e/2 Quasiparticle Braiding |
| title_short | Interference Measurements of Non-Abelian e/4 & Abelian e/2 Quasiparticle Braiding |
| title_sort | interference measurements of non abelian e 4 abelian e 2 quasiparticle braiding |
| url | http://doi.org/10.1103/PhysRevX.13.011028 |
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