4.8 Article

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

Journal

PHYSICAL REVIEW LETTERS
Volume 129, Issue 15, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.129.156801

Keywords

-

Funding

  1. National Science Foundation (NSF) [DMR 2104771, ECCS 1906253]
  2. U.S. Department of Energy Basic Energy (DOE) Sciences [DEFG02-00-ER45841]
  3. NSF [MRSEC DMR 2011750, DMR 1644779]
  4. Eric and Wendy Schmidt Transformative Technology Fund
  5. Gordon and Betty Moore Foundation's EPiQS Initiative [GBMF9615]
  6. State of Florida
  7. DOE
  8. Institute for Complex Adaptive Matter (ICAM)
  9. Gordon and Betty Moore Foundation [GBMF9616]

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In this study, a new and unexpected even-denominator FQHS was observed in a high-quality GaAs 2D hole system at filling factor v = 3/4. This FQHS is observed in the lowest Landau level and exhibits non-Abelian characteristics.
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 v = 3/4 in a GaAs 2D hole system with an exceptionally high quality (mobility). Our magnetotransport measurements reveal a strong minimum in the longitudinal resistance at v = 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.

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