发表机构
Natural Science Research Institute, Korea Advanced Institute of Science and Technology; Department of Physics, Korea Advanced Institute of Science and Technology; Center for Artificial Low Dimensional Electronic Systems, Institute for Basic Science（韩国科学技术院自然科学研究所; 韩国科学技术院物理系; 基础科学研究院人工低维电子系统中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对缺乏系统波函数描述的任意子超导电性，建立层级波函数构造方法，构造多类实例并发现其与费米化任意子态的等价性，确立了关联任意子凝聚、超导序与拓扑场理论的统一框架。
AI 中文摘要
任意子超导电性源于运动任意子的凝聚，而非传统的库珀不稳定性，但至今仍缺乏系统的波函数描述。我们针对源于母拓扑序的超导态，建立了层级波函数构造方法，并通过等离子体类比和拓扑场理论，确定了这些态的非对角长程序、凝聚电荷、手性中心荷以及剩余拓扑序。我们构造了源于半子态、ν=2/3层级态、ν=1/3劳夫林态、ν=1整数量子霍尔态以及Pfaffian态的阿贝尔与非阿贝尔实例。值得注意的是，对于半子情形，超导多半子波函数等价于费米化任意子填充两个有效朗道能级的态，恢复了劳夫林最初的半子超导体构造。最后，我们表明层级波函数自然出现在任意子希尔伯特空间形式的稀疏长程极限中，该形式适用于理想陈带和双层二碲化钼的莫尔带。我们的结果建立了统一的波函数层面框架，将任意子凝聚、超导序与拓扑场理论相联系。
英文摘要
Anyon superconductivity arises from the condensation of mobile anyons rather than from a conventional Cooper instability, yet a systematic wavefunction description remains lacking. We develop a hierarchy-wavefunction construction for superconducting states derived from parent topological orders and identify their off-diagonal long-range order, condensate charge, chiral central charge, and residual topological order through the plasma analogy and topological field theories. We construct Abelian and non-Abelian examples descending from the semion state, a $ν=2/3$ hierarchy state, the $ν=1/3$ Laughlin state, $ν=1$ integer quantum Hall state, and Pfaffian state. Remarkably, for the semion case, the superconducting many-semion wavefunction is equivalent to a state of fermionized anyons filling two effective Landau levels, recovering Laughlin's original construction of semion superconductor. Finally, we show that hierarchy wavefunctions emerge naturally in the dilute, long-distance limit of the anyon-Hilbert-space formulation, which applies to ideal Chern bands and moiré bands of twisted bilayer MoTe$_2$. Our results establish a unified wavefunction-level framework linking anyon condensation, superconducting order, and topological field theory.
Comments7+18 pages, 0+1 table
