Topological phase transition between composite-fermion and Pfaffian daughter states near {\nu} = 1/2 FQHS

Autor: Singh, Siddharth Kumar, Wang, C., Tai, C. T., Calhoun, C. S., Gupta, A., Baldwin, K. W., Pfeiffer, L. N., Shayegan, M.
Rok vydání: 2023
Předmět:
Zdroj: Nat. Phys. (2024); Link: https://www.nature.com/articles/s41567-024-02517-w
Druh dokumentu: Working Paper
DOI: 10.1038/s41567-024-02517-w
Popis: $\nu$=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 $\nu$=$p$/(2$p$$\pm$1) up to $\nu$=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 $\nu$=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.
Comment: 19 pages, 9 figures
Databáze: arXiv