Topological phase transition between composite-fermion and Pfaffian daughter states near ν = 1/2 FQHS
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| Format: | Preprint |
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2023
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| author | Singh, Siddharth Kumar Wang, C. Tai, C. T. Calhoun, C. S. Gupta, A. Baldwin, K. W. Pfeiffer, L. N. Shayegan, M. |
| author_facet | Singh, Siddharth Kumar Wang, C. Tai, C. T. Calhoun, C. S. Gupta, A. Baldwin, K. W. Pfeiffer, L. N. Shayegan, M. |
| contents | $ν$=1/2 is among the most enigmatic many-body phases in two-dimensional electron systems as it appears in the ground-state rather than an excited Landau level. It is observed in wide quantum wells where the electrons have a bilayer charge distribution with finite tunneling. Whether this 1/2 FQHS is two-component (Abelian) or one-component (non-Abelian) has been debated since its experimental discovery over 30 years ago. Here, we report strong 1/2 FQHSs in ultrahigh-quality, wide, GaAs quantum wells, with transport energy gaps up to $\simeq$4K, among the largest gaps reported for any even-denominator FQHS. The 1/2 FQHS is flanked by numerous, Jain-sequence FQHSs at $ν$=$p$/(2$p$$\pm$1) up to $ν$=8/17 and 9/17. Remarkably, as we raise the density and strengthen the 1/2 FQHS, the 8/17 and 7/13 FQHSs suddenly become strong, much stronger than their neighboring high-order FQHSs. Insofar as FQHSs at $ν$=8/17 and 7/13 are precisely the theoretically-predicted, simplest, daughter states of the one-component Pfaffian 1/2 FQHS, our data suggest a topological phase-transition of 8/17 and 7/13 FQHSs from the Jain-states to the daughter states of the Pfaffian, and that the parent 1/2 FQHS we observe is the Pfaffian state. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2309_00111 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Topological phase transition between composite-fermion and Pfaffian daughter states near ν = 1/2 FQHS Singh, Siddharth Kumar Wang, C. Tai, C. T. Calhoun, C. S. Gupta, A. Baldwin, K. W. Pfeiffer, L. N. Shayegan, M. Mesoscale and Nanoscale Physics $ν$=1/2 is among the most enigmatic many-body phases in two-dimensional electron systems as it appears in the ground-state rather than an excited Landau level. It is observed in wide quantum wells where the electrons have a bilayer charge distribution with finite tunneling. Whether this 1/2 FQHS is two-component (Abelian) or one-component (non-Abelian) has been debated since its experimental discovery over 30 years ago. Here, we report strong 1/2 FQHSs in ultrahigh-quality, wide, GaAs quantum wells, with transport energy gaps up to $\simeq$4K, among the largest gaps reported for any even-denominator FQHS. The 1/2 FQHS is flanked by numerous, Jain-sequence FQHSs at $ν$=$p$/(2$p$$\pm$1) up to $ν$=8/17 and 9/17. Remarkably, as we raise the density and strengthen the 1/2 FQHS, the 8/17 and 7/13 FQHSs suddenly become strong, much stronger than their neighboring high-order FQHSs. Insofar as FQHSs at $ν$=8/17 and 7/13 are precisely the theoretically-predicted, simplest, daughter states of the one-component Pfaffian 1/2 FQHS, our data suggest a topological phase-transition of 8/17 and 7/13 FQHSs from the Jain-states to the daughter states of the Pfaffian, and that the parent 1/2 FQHS we observe is the Pfaffian state. |
| title | Topological phase transition between composite-fermion and Pfaffian daughter states near ν = 1/2 FQHS |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2309.00111 |