Developing fractional quantum Hall states at even-denominator fillings 1/6 and 1/8
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2025
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| author | Wang, Chengyu Madathil, P. T. Singh, S. K. Gupta, A. Chung, Y. J. Pfeiffer, L. N. Baldwin, K. W. Shayegan, M. |
| author_facet | Wang, Chengyu Madathil, P. T. Singh, S. K. Gupta, A. Chung, Y. J. Pfeiffer, L. N. Baldwin, K. W. Shayegan, M. |
| contents | In the extreme quantum limit, when the Landau level filling factor $ν<1$, the dominant electron-electron interaction in low-disorder two-dimensional electron systems leads to exotic many-body phases. The ground states at even-denominator $ν=$ 1/2 and 1/4 are typically Fermi seas of composite fermions carrying two and four flux quanta, surrounded by the Jain fractional quantum Hall states (FQHSs) at odd-denominator fillings $ν=p/(2p\pm1)$ and $ν=p/(4p\pm1)$, where $p$ is an integer. For $ν<$ 1/5, an insulating behavior, which is generally believed to signal the formation of a pinned Wigner crystal, is seen. Our experiments on ultrahigh-quality, dilute, GaAs two-dimensional electron systems reveal developing FQHSs at $ν=p/(6p\pm1)$ and $ν=p/(8p\pm1)$, manifested by magnetoresistance minima superimposed on the insulating background. In stark contrast to $ν=$ 1/2 and 1/4, however, we observe a pronounced, sharp minimum in magnetoresistance at $ν=$ 1/6 and a somewhat weaker minimum at $ν=$ 1/8, suggesting developing FQHSs, likely stabilized by the pairing of composite fermions that carry six and eight flux quanta. Our results signal the unexpected entry, in ultrahigh-quality samples, of FQHSs at even-denominator fillings 1/6 and 1/8, which are likely to harbor non-Abelian anyon excitations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_17635 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Developing fractional quantum Hall states at even-denominator fillings 1/6 and 1/8 Wang, Chengyu Madathil, P. T. Singh, S. K. Gupta, A. Chung, Y. J. Pfeiffer, L. N. Baldwin, K. W. Shayegan, M. Mesoscale and Nanoscale Physics Strongly Correlated Electrons In the extreme quantum limit, when the Landau level filling factor $ν<1$, the dominant electron-electron interaction in low-disorder two-dimensional electron systems leads to exotic many-body phases. The ground states at even-denominator $ν=$ 1/2 and 1/4 are typically Fermi seas of composite fermions carrying two and four flux quanta, surrounded by the Jain fractional quantum Hall states (FQHSs) at odd-denominator fillings $ν=p/(2p\pm1)$ and $ν=p/(4p\pm1)$, where $p$ is an integer. For $ν<$ 1/5, an insulating behavior, which is generally believed to signal the formation of a pinned Wigner crystal, is seen. Our experiments on ultrahigh-quality, dilute, GaAs two-dimensional electron systems reveal developing FQHSs at $ν=p/(6p\pm1)$ and $ν=p/(8p\pm1)$, manifested by magnetoresistance minima superimposed on the insulating background. In stark contrast to $ν=$ 1/2 and 1/4, however, we observe a pronounced, sharp minimum in magnetoresistance at $ν=$ 1/6 and a somewhat weaker minimum at $ν=$ 1/8, suggesting developing FQHSs, likely stabilized by the pairing of composite fermions that carry six and eight flux quanta. Our results signal the unexpected entry, in ultrahigh-quality samples, of FQHSs at even-denominator fillings 1/6 and 1/8, which are likely to harbor non-Abelian anyon excitations. |
| title | Developing fractional quantum Hall states at even-denominator fillings 1/6 and 1/8 |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2502.17635 |