三层电子系统中的层间关联分数量子霍尔态
Interlayer-correlated fractional quantum Hall state in a trilayer electron system
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中文总结 AI 辅助
本研究在三层GaAs量子阱系统中观测到总填充因子ν=5/7的奇异分数量子霍尔态，证实了长期预测的三层广义Laughlin态，将层间相干扩展到三个耦合层。
中文摘要 AI 辅助
在多用量子霍尔系统中，当层间距足够小时，层内与层间库仑相互作用的相互作用可导致奇异的、多组分的多体态。一个典型例子是双层系统中总填充因子$ν=1/2$处、层间隧穿可忽略时的偶分母分数量子霍尔态（FQHS）。该态可理解为由Halperin-Laughlin $Ψ_{331}$波函数描述的广义Laughlin态。尽管此类关联态已在双层系统中被广泛探索，但对于层数超过两层的系统，其对应物知之甚少。在此，我们研究了一个限制在超高纯度GaAs三重量子阱中的三层二维电子系统。当侧层密度大于中间层且$d/l_B \simeq 2.2$（$d$为层间距，$l_B$为磁长度）时，我们观察到总填充因子$ν=5/7$处的奇异FQHS，表现为深的纵向电阻极小值和量子化的霍尔平台。该态自然被解释为长期预测的三层广义Laughlin（$Ψ_{33311}$）态，其特征为每层内具有$ν=1/3$类层内关联，相邻层间具有$ν=1$类层间关联。我们的观察确立了Halperin-Laughlin多体态的一个新成员，将层间相干扩展到三个耦合层。
英文摘要
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 $d/l_B \simeq 2.2$ ($d$ 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.
发表机构
- Princeton University（普林斯顿大学）
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