Interlayer-Correlated Fractional Quantum Hall State in a Trilayer Electron System
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 in bilayer systems with negligible interlayer tunneling. This state can be understood as a generalized Laughlin state described by the Halperin-Laughlin 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 , 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 ( is the interlayer distance and the magnetic length). This state is naturally interpreted as the long-predicted trilayer, generalized Laughlin () state, characterized by -like intralayer correlation within each layer and -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.