Interlayer-correlated fractional quantum Hall state in a trilayer electron system
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, multi-component, many-body states. A particular example is the even-denominator fractional quantum Hall state (FQHS) 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 wavefunction. 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 FQHS 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.
Versions
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BibTeX
@misc{wang2026interlayercorrelated,
title = {{Interlayer-correlated fractional quantum Hall state in a trilayer electron system}},
author = {Chengyu Wang and C. T. Tai and N. Toemtrisna and A. Gupta and L. N. Pfeiffer and K. W. Baldwin and M. Shayegan},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.26916},
eprint = {2609.26916},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.26916},
}
RIS
TY - UNPB
TI - Interlayer-correlated fractional quantum Hall state in a trilayer electron system
AU - Chengyu Wang
AU - C. T. Tai
AU - N. Toemtrisna
AU - A. Gupta
AU - L. N. Pfeiffer
AU - K. W. Baldwin
AU - M. Shayegan
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2609.26916
UR - https://arxiv.org/abs/2609.26916
AB - In multilayer quantum Hall systems, when the layer separation is sufficiently small, the interplay between intralayer and interlayer Coulomb interactions can lead to exotic, multi-component, many-body states. A particular example is the even-denominator fractional quantum Hall state (FQHS) 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 wavefunction. 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 FQHS 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.
ER -