Enigmatic 2+6/13 Filling Factor: A Prototype Intermittent Topological State
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| Format: | Preprint |
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2024
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| _version_ | 1866909600438026240 |
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| author | Das, Sudipto Das, Sahana Mandal, Sudhansu S. |
| author_facet | Das, Sudipto Das, Sahana Mandal, Sudhansu S. |
| contents | Observation of filling factor 6/13 is one of the surprising fractional quantum Hall states in the second Landau level because, in contrast to the standard wisdom, the fractions ($ν< 1/2$) with lower numerators, namely 4 and 5, have not yet been observed. We find that a state indeed forms at $ν=6/13$ as an intermittent topological state between two prominent states at $ν=1/2$ and $ν= 2/5$ with lower numerators. Also, we predict that a state forms at $ν=5/13$ as an intermittent to $ν= 2/5$ and $ν=3/8$. Our proposed wave functions for $ν=6/13$ and $5/13$ have excellent overlaps with the corresponding exact ground state wave functions. The Chern-Simons coupling matrices deduced from the form of these wave functions are analyzed to predict the topological properties, which may be experimentally verified. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_09002 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Enigmatic 2+6/13 Filling Factor: A Prototype Intermittent Topological State Das, Sudipto Das, Sahana Mandal, Sudhansu S. Mesoscale and Nanoscale Physics Observation of filling factor 6/13 is one of the surprising fractional quantum Hall states in the second Landau level because, in contrast to the standard wisdom, the fractions ($ν< 1/2$) with lower numerators, namely 4 and 5, have not yet been observed. We find that a state indeed forms at $ν=6/13$ as an intermittent topological state between two prominent states at $ν=1/2$ and $ν= 2/5$ with lower numerators. Also, we predict that a state forms at $ν=5/13$ as an intermittent to $ν= 2/5$ and $ν=3/8$. Our proposed wave functions for $ν=6/13$ and $5/13$ have excellent overlaps with the corresponding exact ground state wave functions. The Chern-Simons coupling matrices deduced from the form of these wave functions are analyzed to predict the topological properties, which may be experimentally verified. |
| title | Enigmatic 2+6/13 Filling Factor: A Prototype Intermittent Topological State |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2409.09002 |