Even-Denominator Fractional Quantum Hall State at Filling Factor ν=3/4

Wang, Chengyu; Gupta, A.; Singh, S. K.; Chung, Y. J.; Pfeiffer, L. N.; West, K. W.; Baldwin, K. W.; Winkler, R.; Shayegan, M.

doi:10.1103/physrevlett.129.156801

Even-Denominator Fractional Quantum Hall State at Filling Factor ν=3/4

Journal Article · Thu Oct 06 00:00:00 EDT 2022 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.129.156801· OSTI ID:1891443

Wang, Chengyu ^[1]; ^[2]; Singh, S. K. ^[2]; Chung, Y. J. ^[2]; Pfeiffer, L. N. ^[2]; West, K. W. ^[2]; Baldwin, K. W. ^[2]; ^[3]; ^[2]

Princeton Univ., NJ (United States); Princeton University
Princeton Univ., NJ (United States)
Northern Illinois Univ., DeKalb, IL (United States)

Fractional quantum Hall states (FQHSs) exemplify exotic phases of low-disorder two-dimensional (2D) electron systems when electron-electron interaction dominates over the thermal and kinetic energies. Particularly intriguing among the FQHSs are those observed at even-denominator Landau level filling factors, as their quasiparticles are generally believed to obey non-Abelian statistics and be of potential use in topological quantum computing. Such states, however, are very rare and fragile, and are typically observed in the excited Landau level of 2D electron systems with the lowest amount of disorder. Here we report the observation of a new and unexpected even-denominator FQHS at filling factor ν = 3/4 in a GaAs 2D hole system with an exceptionally high quality (mobility). Furthermore, our magnetotransport measurements reveal a strong minimum in the longitudinal resistance at ν = 3/4, accompanied by a developing Hall plateau centered at (h/e²)/(3/4). This even-denominator FQHS is very unusual as it is observed in the lowest Landau level and in a 2D hole system. While its origin is unclear, it is likely a non-Abelian state, emerging from the residual interaction between composite fermions.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: Gordon and Betty Moore Foundation’s EPiQS Initiative; National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-00ER45841

OSTI ID:: 1891443

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 15 Vol. 129; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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