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    Interlayer-Correlated Fractional Quantum Hall State in a Trilayer Electron System

    Chengyu Wang, C. T. Tai, N. Toemtrisna, A. Gupta, L. N. Pfeiffer, K. W. Baldwin, and M. Shayegan

    • Department of Electrical and Computer Engineering, Princeton University, Princeton, New Jersey 08544, USA

    Phys. Rev. Lett. 137, 136504 – Published 22 September, 2026

    DOI: https://doi.org/10.1103/4bpx-3mwm

    Abstract

    In multilayer quantum Hall systems, when the layer separation is sufficiently small, the interplay between intralayer and interlayer Coulomb interactions can lead to exotic, multicomponent, many-body states. A particular example is the even-denominator fractional quantum Hall state at total filling factor ν=1/2 in bilayer systems with negligible interlayer tunneling. This state can be understood as a generalized Laughlin state described by the Halperin-Laughlin Ψ331 wave function. While such correlated states have been extensively explored in bilayers, little is known about their counterparts in systems with more than two layers. Here, we investigate a trilayer two-dimensional electron system confined to ultrahigh-quality GaAs triple quantum wells. We observe an exotic fractional quantum Hall state at total filling factor ν=5/7, evinced by a deep longitudinal resistance minimum and a quantized Hall plateau, when the side layers have a density larger than the middle layer and d/lB≃2.2 (d is the interlayer distance and lB the magnetic length). This state is naturally interpreted as the long-predicted trilayer, generalized Laughlin (Ψ33311) state, characterized by ν=1/3-like intralayer correlation within each layer and ν=1-like interlayer correlation between neighboring layers. Our observation establishes a new member of the Halperin-Laughlin many-body states that extends interlayer coherence to three coupled layers.

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