AI 中文总结
该研究通过分析分数量子霍尔波函数的零点几何，提出零点位移比作为序参量，证实复合费米子流体描述可精准刻画ν=1/5量子霍尔态，解决了短距离序协调难题。
AI 中文摘要
分数量子霍尔系统基态中零点的聚类模式是其拓扑性质的决定性特征。我们分析了零点围绕单个电子的几何涨落，提出利用零点位移比来可视化和测量真实态与模型波函数的距离。零点位移比的分布表现为从Laughlin相到拓扑平庸相转变中的序参量。对属于不同Jain序列的量子霍尔态进行统计比较，得到了含长程库仑相互作用的ν=1/5基态的复合费米子流体描述，该描述在仅3-5个电子时就几乎完美吻合，克服了长期存在的短距离下难以协调竞争的液态与晶序的难题。
英文摘要
The clustering pattern of zeros in the ground state of a fractional quantum Hall system is a defining feature of its topological properties. We analyze the geometrical fluctuations of the zeros around individual electrons and propose to use the displacement ratio of the zeros to visualize and measure the distance of a realistic state to a model wave function. The distribution of the zero displacement ratio behaves like an order parameter in the transition from a Laughlin phase to a topologically trivial one. The statistical comparison between quantum Hall states belonging to different Jain sequences leads to a composite fermion fluid description of the $ν= 1/5$ ground state with long-range Coulomb interaction that agrees almost perfectly for as few as $3$-$5$ electrons, overcoming the long-standing difficulties of accommodating the competing liquid and crystal orders at short distances.
Comments13 pages, 11 figures, including a supplementary material
