Parton wave function for the fractional quantum Hall effect at ν=6/17
We consider the fractional quantum Hall effect at the filling ν=6/17, where experiments have observed features of incompressibility in the form of a minimum in the longitudinal resistance. We propose a parton state denoted as “32[over ¯]1^{3}” and show it to be a feasible candidate to capture the gr...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.033087 |
| _version_ | 1797211000501436416 |
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| author | Ajit C. Balram A. Wójs |
| author_facet | Ajit C. Balram A. Wójs |
| author_sort | Ajit C. Balram |
| collection | DOAJ |
| description | We consider the fractional quantum Hall effect at the filling ν=6/17, where experiments have observed features of incompressibility in the form of a minimum in the longitudinal resistance. We propose a parton state denoted as “32[over ¯]1^{3}” and show it to be a feasible candidate to capture the ground state at ν=6/17. We work out the low-energy effective theory of the 32[over ¯]1^{3} edge and make several predictions for experimentally measurable properties of the state which can help detect its underlying topological order. Intriguingly, we find that the 32[over ¯]1^{3} state likely lies in the same universality class as the state obtained from composite-fermionizing the 1+1/5 Laughlin state. |
| first_indexed | 2024-04-24T10:19:32Z |
| format | Article |
| id | doaj.art-7d9cc8dcce634fe6a10380851110759f |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:19:32Z |
| publishDate | 2021-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-7d9cc8dcce634fe6a10380851110759f2024-04-12T17:12:08ZengAmerican Physical SocietyPhysical Review Research2643-15642021-07-013303308710.1103/PhysRevResearch.3.033087Parton wave function for the fractional quantum Hall effect at ν=6/17Ajit C. BalramA. WójsWe consider the fractional quantum Hall effect at the filling ν=6/17, where experiments have observed features of incompressibility in the form of a minimum in the longitudinal resistance. We propose a parton state denoted as “32[over ¯]1^{3}” and show it to be a feasible candidate to capture the ground state at ν=6/17. We work out the low-energy effective theory of the 32[over ¯]1^{3} edge and make several predictions for experimentally measurable properties of the state which can help detect its underlying topological order. Intriguingly, we find that the 32[over ¯]1^{3} state likely lies in the same universality class as the state obtained from composite-fermionizing the 1+1/5 Laughlin state.http://doi.org/10.1103/PhysRevResearch.3.033087 |
| spellingShingle | Ajit C. Balram A. Wójs Parton wave function for the fractional quantum Hall effect at ν=6/17 Physical Review Research |
| title | Parton wave function for the fractional quantum Hall effect at ν=6/17 |
| title_full | Parton wave function for the fractional quantum Hall effect at ν=6/17 |
| title_fullStr | Parton wave function for the fractional quantum Hall effect at ν=6/17 |
| title_full_unstemmed | Parton wave function for the fractional quantum Hall effect at ν=6/17 |
| title_short | Parton wave function for the fractional quantum Hall effect at ν=6/17 |
| title_sort | parton wave function for the fractional quantum hall effect at ν 6 17 |
| url | http://doi.org/10.1103/PhysRevResearch.3.033087 |
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