Non-Abelian fractional quantum Hall state at 3/7-filled Landau level
We consider a non-Abelian candidate state at filling factor ν=3/7 state belonging to the parton family. We find that, in the second Landau level of GaAs (i.e., at filling factor ν=2+3/7), this state is energetically superior to the standard Jain composite-fermion state and also provides a very good...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033223 |
| _version_ | 1797211356085092352 |
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| author | W. N. Faugno J. K. Jain Ajit C. Balram |
| author_facet | W. N. Faugno J. K. Jain Ajit C. Balram |
| author_sort | W. N. Faugno |
| collection | DOAJ |
| description | We consider a non-Abelian candidate state at filling factor ν=3/7 state belonging to the parton family. We find that, in the second Landau level of GaAs (i.e., at filling factor ν=2+3/7), this state is energetically superior to the standard Jain composite-fermion state and also provides a very good representation of the ground state found in exact diagonalization studies of finite systems. This leads us to predict that if a fractional quantum Hall effect is observed at ν=3/7 in the second Landau level, it is likely to be described by this new non-Abelian state. We enumerate experimentally measurable properties that can verify the topological structure of this state. |
| first_indexed | 2024-04-24T10:25:11Z |
| format | Article |
| id | doaj.art-b27bb6d2e1814dd6ad9ab494874cbf45 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:25:11Z |
| publishDate | 2020-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-b27bb6d2e1814dd6ad9ab494874cbf452024-04-12T16:58:35ZengAmerican Physical SocietyPhysical Review Research2643-15642020-08-012303322310.1103/PhysRevResearch.2.033223Non-Abelian fractional quantum Hall state at 3/7-filled Landau levelW. N. FaugnoJ. K. JainAjit C. BalramWe consider a non-Abelian candidate state at filling factor ν=3/7 state belonging to the parton family. We find that, in the second Landau level of GaAs (i.e., at filling factor ν=2+3/7), this state is energetically superior to the standard Jain composite-fermion state and also provides a very good representation of the ground state found in exact diagonalization studies of finite systems. This leads us to predict that if a fractional quantum Hall effect is observed at ν=3/7 in the second Landau level, it is likely to be described by this new non-Abelian state. We enumerate experimentally measurable properties that can verify the topological structure of this state.http://doi.org/10.1103/PhysRevResearch.2.033223 |
| spellingShingle | W. N. Faugno J. K. Jain Ajit C. Balram Non-Abelian fractional quantum Hall state at 3/7-filled Landau level Physical Review Research |
| title | Non-Abelian fractional quantum Hall state at 3/7-filled Landau level |
| title_full | Non-Abelian fractional quantum Hall state at 3/7-filled Landau level |
| title_fullStr | Non-Abelian fractional quantum Hall state at 3/7-filled Landau level |
| title_full_unstemmed | Non-Abelian fractional quantum Hall state at 3/7-filled Landau level |
| title_short | Non-Abelian fractional quantum Hall state at 3/7-filled Landau level |
| title_sort | non abelian fractional quantum hall state at 3 7 filled landau level |
| url | http://doi.org/10.1103/PhysRevResearch.2.033223 |
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