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

Created on 10 Oct 2026

Authors

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

Published in

Physical review letters. Volume 137. Issue 13. Pages 136504. Sep 25, 2026.

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 Ψ_{331} 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/l_{B}≃2.2 (d is the interlayer distance and l_{B} the magnetic length). This state is naturally interpreted as the long-predicted trilayer, generalized Laughlin (Ψ_{33311}) 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.

PMID:
42854153
Bibliographic data and abstract were imported from PubMed on 10 Oct 2026.

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