Measurements of quasiparticle tunneling in the υ=5/2 fractional quantum Hall state
Some models of the 5/2 fractional quantum Hall state predict that the quasiparticles, which carry the charge, have non-Abelian statistics: exchange of two quasiparticles changes the wave function more dramatically than just the usual change of phase factor. Such non-Abelian statistics would make the...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2012
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| Online Access: | http://hdl.handle.net/1721.1/71701 https://orcid.org/0000-0001-7641-5438 |
| _version_ | 1826194099018924032 |
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| author | Lin, X. Dillard, Colin R. Kastner, Marc Pfeiffer, L. N. West, K. W. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Lin, X. Dillard, Colin R. Kastner, Marc Pfeiffer, L. N. West, K. W. |
| author_sort | Lin, X. |
| collection | MIT |
| description | Some models of the 5/2 fractional quantum Hall state predict that the quasiparticles, which carry the charge, have non-Abelian statistics: exchange of two quasiparticles changes the wave function more dramatically than just the usual change of phase factor. Such non-Abelian statistics would make the system less sensitive to decoherence, making it a candidate for implementation of topological quantum computation. We measure quasiparticle tunneling as a function of temperature and dc bias between counterpropagating edge states. Fits to theory give e*, the quasiparticle effective charge, close to the expected value of e/4 and g, the strength of the interaction between quasiparticles, close to 3/8. Fits corresponding to the various proposed wave functions, along with qualitative features of the data, strongly favor the Abelian 331 state. |
| first_indexed | 2024-09-23T09:50:28Z |
| format | Article |
| id | mit-1721.1/71701 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:50:28Z |
| publishDate | 2012 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/717012022-09-26T14:02:59Z Measurements of quasiparticle tunneling in the υ=5/2 fractional quantum Hall state Lin, X. Dillard, Colin R. Kastner, Marc Pfeiffer, L. N. West, K. W. Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. School of Science Kastner, Marc Dillard, Colin R. Kastner, Marc Some models of the 5/2 fractional quantum Hall state predict that the quasiparticles, which carry the charge, have non-Abelian statistics: exchange of two quasiparticles changes the wave function more dramatically than just the usual change of phase factor. Such non-Abelian statistics would make the system less sensitive to decoherence, making it a candidate for implementation of topological quantum computation. We measure quasiparticle tunneling as a function of temperature and dc bias between counterpropagating edge states. Fits to theory give e*, the quasiparticle effective charge, close to the expected value of e/4 and g, the strength of the interaction between quasiparticles, close to 3/8. Fits corresponding to the various proposed wave functions, along with qualitative features of the data, strongly favor the Abelian 331 state. National Science Foundation (U.S.) (Grant No. DMR-1104394) National Science Foundation (U.S.). Materials Research Science and Engineering Centers (Program) (Grant No. DMR-0819860) 2012-07-19T18:29:01Z 2012-07-19T18:29:01Z 2012-04 2012-01 Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/71701 Lin, X. et al. “Measurements of Quasiparticle Tunneling in the Υ=5/2 Fractional Quantum Hall State.” Physical Review B 85.16 (2012). ©2012 American Physical Society https://orcid.org/0000-0001-7641-5438 en_US http://dx.doi.org/10.1103/PhysRevB.85.165321 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Lin, X. Dillard, Colin R. Kastner, Marc Pfeiffer, L. N. West, K. W. Measurements of quasiparticle tunneling in the υ=5/2 fractional quantum Hall state |
| title | Measurements of quasiparticle tunneling in the υ=5/2 fractional quantum Hall state |
| title_full | Measurements of quasiparticle tunneling in the υ=5/2 fractional quantum Hall state |
| title_fullStr | Measurements of quasiparticle tunneling in the υ=5/2 fractional quantum Hall state |
| title_full_unstemmed | Measurements of quasiparticle tunneling in the υ=5/2 fractional quantum Hall state |
| title_short | Measurements of quasiparticle tunneling in the υ=5/2 fractional quantum Hall state |
| title_sort | measurements of quasiparticle tunneling in the υ 5 2 fractional quantum hall state |
| url | http://hdl.handle.net/1721.1/71701 https://orcid.org/0000-0001-7641-5438 |
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