标题： 三层量子霍尔系统中的任意子超流体 显示英文标题

标题： Anyon superfluid in trilayer quantum Hall systems

摘要： 将内在的拓扑序与无能隙的集体模态交织在一起仍然是多体物理中的一个核心挑战。 我们表明，一个在$\nu_{1}=\nu_{2}=\nu_{3}= \frac13$处的量子霍尔三层结构，仅通过层间间距$d$进行调节，实现了这一目标。 大规模密度矩阵重整化群（DMRG）计算和一个陈-西蒙斯场论分析揭示了一个中间的“任意子激子凝聚态”，它将熟悉的$\nu_{\mathrm{tot}}=1$激子凝聚态（$d \to 0$）与三个解耦的Laughlin液体（$d \to \infty$）分隔开来。 在这个相中，中性双激子凝聚，而$\nu=\frac23$的Laughlin拓扑序仍然存在，导致一个金斯堡-兰道模态与分数量子化的任意子共存。 一个金斯堡-兰道分析描绘了有限温度下的相图。 通过一个消失的双反向流动电阻和一个分数层分辨的霍尔电阻$R_{xy}=\frac{5}{2} h/e^{2}$，可以实验验证这种任意子激子凝聚态，这两者都在现有高迁移率三层器件的测量范围内。 显示英文摘要

摘要： Intertwining intrinsic topological order with gapless collective modes remains a central challenge in many-body physics. We show that a quantum-Hall trilayer at $\nu_{1}=\nu_{2}=\nu_{3}= \frac13$, tuned solely by the inter-layer spacing $d$, realizes this goal. Large-scale density-matrix renormalization group (DMRG) calculations and a Chern-Simons field theory analysis reveal an intermediate ``anyon-exciton condensate'' separating the familiar $\nu_{\mathrm{tot}}=1$ exciton condensate ($d \to 0$) from three decoupled Laughlin liquids ($d \to \infty$). In this phase, neutral bi-excitons condense while a $\nu=\frac23$ Laughlin topological order survives, yielding a Goldstone mode coexisting with fractionalized anyons. A Ginzburg-Landau analysis maps out the finite-temperature phase diagram. The anyon-exciton condensate can be experimentally verified through a vanishing double-counter-flow resistance and a fractional layer-resolved Hall resistivity $R_{xy}=\frac{5}{2} h/e^{2}$, both within reach of existing high-mobility trilayer devices.