Fractional Quantum Hall State at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mi>ν</mml:mi> <mml:mtext/> <mml:mo>=</mml:mo> <mml:mtext/> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:mn>2</mml:mn>

The fractional quantum Hall state (FQHS) observed in the lowest Landau level at filling factor ν=1/2 in wide quantum wells has been enigmatic for decades because the two-dimensional electron system (2DES) has a bilayer charge distribution but with significant interlayer tunneling. Of particular interest is whether the 1/2 FQHS in this system has a one-component (1C) or two-component (2C) origin; these are typically identified as the Pfaffian (non-Abelian) or the Ψ_{331} (Abelian) FQHSs, respectively. We report here our experimental study of the evolution of the correlated states of an ultrahigh-quality 2DES confined to a 72.5-nm-wide GaAs quantum well. At the lowest densities, the 2DES displays only odd-denominator FQHSs, and the ground state at ν=1/2 is a composite fermion Fermi sea. As the density is increased, an FQHS emerges at ν=1/2, and becomes very strong. In a finite density range where the 1/2 FQHS is strongest, we also observe its daughter FQHSs at ν=8/17 and 7/13, consistent with the theoretically expected daughter states of a Pfaffian 1/2 FQHS. At the highest densities, the 2DES becomes 2C, signaled by the emergence of a bilayer Wigner crystal state and the transitions of FQHSs flanking ν=1/2. The 1/2 FQHS remains robust near this transition and, notably, its charge transport energy gap exhibits an upward cusp with a maximum value of about 6 K on the 1C side of the transition; this is the largest gap reported for any even-denominator FQHS. Our observation of the transition of the 2DES ground states near ν=1/2 to 2C states at high densities, and our measurements of the robustness of the 1/2 FQHS against charge distribution asymmetry, suggest that the 1/2 FQHS also makes a transition from 1C to 2C. Such a transition from a non-Abelian to Abelian state can open avenues for topological quantum information and quantum criticality.

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Publication Details

Journal
Physical Review Letters
Published
2025-10-28
DOI
https://doi.org/10.1103/ywpx-qm7d
Citations
1
Primary Topic
Quantum and electron transport phenomena
Type
article
Field-Weighted Citation Impact
1.25
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Fractional Quantum Hall State at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mi>ν</mml:mi> <mml:mtext/> <mml:mo>=</mml:mo> <mml:mtext/> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:mn>2</mml:mn>

S. K. Singh, Adbhut Gupta, M. Shayegan, L. N. Pfeiffer et al.
1 citations
Physical Review Letters
Quantum and electron transport phenomena
1.25
article

Fractional Quantum Hall State at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mi>ν</mml:mi> <mml:mtext/> <mml:mo>=</mml:mo> <mml:mtext/> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:mn>2</mml:mn>

S. K. Singh, Adbhut Gupta, M. Shayegan, L. N. Pfeiffer, Chengyu Wang, K. W. Baldwin
article en
1 citations

Abstract

The fractional quantum Hall state (FQHS) observed in the lowest Landau level at filling factor ν=1/2 in wide quantum wells has been enigmatic for decades because the two-dimensional electron system (2DES) has a bilayer charge distribution but with significant interlayer tunneling. Of particular interest is whether the 1/2 FQHS in this system has a one-component (1C) or two-component (2C) origin; these are typically identified as the Pfaffian (non-Abelian) or the Ψ_{331} (Abelian) FQHSs, respectively. We report here our experimental study of the evolution of the correlated states of an ultrahigh-quality 2DES confined to a 72.5-nm-wide GaAs quantum well. At the lowest densities, the 2DES displays only odd-denominator FQHSs, and the ground state at ν=1/2 is a composite fermion Fermi sea. As the density is increased, an FQHS emerges at ν=1/2, and becomes very strong. In a finite density range where the 1/2 FQHS is strongest, we also observe its daughter FQHSs at ν=8/17 and 7/13, consistent with the theoretically expected daughter states of a Pfaffian 1/2 FQHS. At the highest densities, the 2DES becomes 2C, signaled by the emergence of a bilayer Wigner crystal state and the transitions of FQHSs flanking ν=1/2. The 1/2 FQHS remains robust near this transition and, notably, its charge transport energy gap exhibits an upward cusp with a maximum value of about 6 K on the 1C side of the transition; this is the largest gap reported for any even-denominator FQHS. Our observation of the transition of the 2DES ground states near ν=1/2 to 2C states at high densities, and our measurements of the robustness of the 1/2 FQHS against charge distribution asymmetry, suggest that the 1/2 FQHS also makes a transition from 1C to 2C. Such a transition from a non-Abelian to Abelian state can open avenues for topological quantum information and quantum criticality.

Physical Review LettersVol. 135(24)
Princeton University (US)
Openalex Percentile: Top 15%
Quantum and electron transport phenomena
1.25
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