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Fractional Quantum Hall State at Filling Factor ν=1/4 in Ultra-High-Quality GaAs Two-Dimensional Hole Systems

Chengyu Wang, A. Gupta, S. K. Singh, P. T. Madathil, Y. J. Chung, L. N. Pfeiffer, K. W. Baldwin, R. Winkler, and M. Shayegan
Phys. Rev. Lett. 131, 266502 – Published 29 December 2023
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Abstract

Single-component fractional quantum Hall states (FQHSs) at even-denominator filling factors may host non-Abelian quasiparticles that are considered to be building blocks of topological quantum computers. Such states, however, are rarely observed in the lowest-energy Landau level, namely at filling factors ν<1. Here, we report evidence for an even-denominator FQHS at ν=1/4 in ultra-high-quality two-dimensional hole systems confined to modulation-doped GaAs quantum wells. We observe a deep minimum in the longitudinal resistance at ν=1/4, superimposed on a highly insulating background, suggesting a close competition between the ν=1/4 FQHS and the magnetic-field-induced, pinned Wigner solid states. Our experimental observations are consistent with the very recent theoretical calculations that predict that substantial Landau level mixing, caused by the large hole effective mass, can induce composite fermion pairing and lead to a non-Abelian FQHS at ν=1/4. Our results demonstrate that Landau level mixing can provide a very potent means for tuning the interaction between composite fermions and creating new non-Abelian FQHSs.

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  • Received 24 July 2023
  • Accepted 1 December 2023

DOI:https://doi.org/10.1103/PhysRevLett.131.266502

© 2023 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Chengyu Wang1, A. Gupta1, S. K. Singh1, P. T. Madathil1, Y. J. Chung1, L. N. Pfeiffer1, K. W. Baldwin1, R. Winkler2, and M. Shayegan1

  • 1Department of Electrical and Computer Engineering, Princeton University, Princeton, New Jersey 08544, USA
  • 2Department of Physics, Northern Illinois University, DeKalb, Illinois 60115, USA

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Vol. 131, Iss. 26 — 29 December 2023

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Images

  • Figure 1
    Figure 1

    (a) Schematics of the pairing mechanism for even-denominator FQHS at ν=1/4. The blue spheres represent holes, and the green vertical arrows the magnetic field flux quanta. The curved short arrows in the right two panels represent magnetic flux quanta attached to holes to form four-flux composite fermions (CFs4). If LLM is strong, CFs4 pair and condense to form a FQHS at ν=1/4. (b) Rxx vs B trace near ν=1/2 for a 2DHS, with density 1.3×1011cm2 and QW width 20 nm, taken at T20mK with I=20nA. Inset shows the self-consistently calculated hole charge distribution (red) and potential (black). (c) Rxx vs B trace near ν=1/4, taken at T100mK with I=0.1nA. Inset shows Rxx vs B between ν=2/7 and 1/4 taken at T137mK. A higher current (I=50nA) is used to reduce noise.

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  • Figure 2
    Figure 2

    ν=1/4 FQHSs in 2D hole samples with different densities: (a),(b) p=0.41×1011cm2, and (c),(d) p=0.65×1011cm2. (b) and (d) are replots of (a) and (c) in log scales for Rxx. Insets in (a) and (c): self-consistently calculated hole charge distribution (red) and potential (black).

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  • Figure 3
    Figure 3

    (a) Rxx vs B traces taken at different temperatures for a 2DHS with p=1.0×1011cm2. Inset: Rxx in log scale vs B at T95mK. (b) Arrhenius plots of Rxx vs 1/T at various magnetic fields, color-coded according to the fields marked by arrows in (c). The solid lines are linear fits to the data points according to RxxeEA/2kT, from which we obtain the activation energy EA. (c) EA vs B.

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