3/2 Fractional Quantum Hall Plateau in Confined Two-Dimensional Electron Gas

Abstract

Even-denominator fractional quantum Hall (FQH) states, such as 5/2 and 7/2, have been well known in a two-dimensional electron gas (2DEG) for decades and are still investigated as candidates of non-Abelian statistics. In this paper, we present the observation of a 3/2 FQH plateau in a single-layer 2DEG with lateral confinement at a bulk filling factor of 5/3. The 3/2 FQH plateau is quantized at (h/e^2 )/(3/2) within 0.02%, and can survive up to 300 mK. This even-denominator FQH plateau may imply intriguing edge structure and excitation in FQH system with lateral confinement. The observations in this work demonstrate that understanding the effect of the lateral confinement on the many-body system is critical in the pursuit of important theoretical proposals involving edge physics, such as the demonstration of non-Abelian statistics and the realization of braiding for fault-tolerant quantum computation.

arXiv comment22 pages, 11 figures

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Cited by in corpus (11)

• Double-frequency Aharonov-Bohm effect and non-Abelian braiding properties of Jackiw-Rebbi zero-mode
• Half-integer conductance plateau at the $\nu =2/3$ fractional quantum Hall state in a quantum point contact
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• The Local Incompressibility of Fractional Quantum Hall States at a Filling Factor of 3/2
• Low-temperature environments for quantum computation and quantum simulation
• Fractional quantum Hall effect from frustration-free Hamiltonians
• Anomalous quantized plateaus in two-dimensional electron gas with gate confinement
• Even-denominator fractional quantum Hall state in conventional triple-gated quantum point contact
• Non-Abelian operation through scattering between chiral Dirac edge modes
• Cascade of fractional quantum Hall states in 2D system
• Collapse of edge reconstruction in compressible Quantum Hall fluid within filling fraction range 2/3 to 1