We provide a set of rules to define several spinful quantum Hall model states. The method extends the one known for spin polarized states. It is achieved by specifying an undressed root partition, a squeezing procedure and rules to dress the configurations with spin. It applies to both the excitation-less state and the quasihole states. In particular, we show that the naive generalization where one preserves the spin information during the squeezing sequence, may fail. We give numerous examples such as the Halperin states, the non-abelian spin-singlet states or the spin-charge separated states. The squeezing procedure for the series (k=2,r) of spinless quantum Hall states, which vanish as r powers when k+1 particles coincide, is generalized to the spinful case. As an application of our method, we show that the counting observed in the particle entanglement spectrum of several spinful states matches the one obtained through the root partitions and our rules. This counting also matches the counting of quasihole states of the corresponding model Hamiltonians, when the latter is available.
Spinless and spinful charge excitations in moiré Fractional Chern Insulators
Princeton Center for Theoretical Science, Princeton University（普林斯顿大学理论科学中心）；Department of Physics, Princeton University（普林斯顿大学物理系）；Department of Physics, University of Florida（佛罗里达大学物理系）；Department of Physics, University of Washington（华盛顿大学物理系）；Department of Materials Science and Engineering, University of Washington（华盛顿大学材料科学与工程系）；Pacific Northwest National Laboratory（太平洋西北国家实验室）；Donostia International Physics Center（圣塞巴斯蒂安国际物理中心）；IKERBASQUE, Basque Foundation for Science（伊卡巴斯基克，巴斯克科学基金会）；Center for Computational Quantum Physics, Flatiron Institute（西蒙斯平顿研究所计算量子物理中心）；Laboratoire de Physique de l’Ecole normale supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris-Diderot（巴黎高等师范学院物理实验室，ENS，PSL大学，CNRS，索邦大学，巴黎第七大学）
From hidden order to skyrmions: Quantum Hall states in an extended Hofstadter-Fermi-Hubbard model
Ludwig-Maximilians-Universität München（慕尼黑大学）；Munich Center for Quantum Science and Technology (MCQST)（慕尼黑量子科学与技术中心）；Université Libre de Bruxelles（布鲁塞尔自由大学）；International Solvay Institutes（国际索尔维研究所）；Collège de France（法兰西学院）；CNRS（法国国家科学研究中心）；ENS-Université PSL（巴黎高等师范学院-巴黎文理研究大学）；Sorbonne Université（索邦大学）
Fractional topological insulators of Cooper pairs induced by proximity effect
某些具有强自旋轨道耦合的绝缘材料可以沿着其边缘或表面传导电流。这一现象源于电子能带结构的非平凡拓扑性质，与强磁场中电子的整数量子霍尔效应有些相似。类似于分数量子霍尔效应的拓扑绝缘体也是可能的，但尚未在任何材料中观察到。在这里，我们表明，一个量子阱的拓扑带绝缘体，如Bi 2 Se 3或Bi 2 Te 3，放置在与超导体接触，可以用来实现一个二维的拓扑状态与宏观多体量子纠缠的激发携带分数电子的电荷和自旋。这种分数拓扑绝缘体是诱导自旋p波库珀对的“赝能隙”态，对量子场论具有重要意义，并可应用于自旋电子器件和量子计算.
Decomposing Fractional Quantum Hall Wave Functions via Operator Contraction Multiplication
National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University（南京大学固体微结构物理国家重点实验室和物理学院）；Jiangsu Key Laboratory of Quantum Information Science and Technology, Nanjing University（南京大学量子信息科学与技术江苏省重点实验室）；College of Physics Science and Technology, Yangzhou University（扬州大学物理科学与技术学院）；Center for Statistical and Theoretical Condensed Matter Physics, and Department of Physics, Zhejiang Normal University（浙江师范大学统计与理论凝聚态物理中心和物理学院）
Quasiparticles and excitons for the Pfaffian quantum Hall state
National University of Ireland, Maynooth（爱尔兰国立大学梅努斯）；Laboratoire Pierre Aigrain, ENS and CNRS（皮埃尔·阿格兰实验室，巴黎高等师范学院与法国国家科学研究中心）；Princeton University（普林斯顿大学）；Dublin Institute for Advanced Studies, School of Theoretical Physics（都柏林高等研究院理论物理学院）
本文提出适用于玻色子和费米子的 Pfaffian 分数量子 Hall 状态的准粒子和激子试波函数，并通过数值研究验证其与精确波函数的重叠性。
