Here we investigate how charge density waves (CDW), inherent to a monolayer, are effected by creating twisted van der Waals structures. Homobilayers of metallic transition metal dichalcogenides (TMDs), at small twist angles where there is significant atomic reconstruction, are utilised as an example to investigate the interplay between the moiré domain structure and CDWs of different periods. For $\sqrt{3}\times\sqrt{3}$ CDWs, there is no geometric constraint to prevent the CDWs from propagating throughout the moiré structure. Whereas for $2\times2$ CDWs, to ensure the CDWs in each layer have the most favourable interactions in the domains, the CDW phase must be destroyed in the connecting domain walls. For $3\times3$ CDWs with twist angles close to 180 degree, moiré-scale triangular structures can form; while close to 0 degree, moiré-scale dimer domains occur. The star-of-David CDW ($\sqrt{13}\times\sqrt{13}$) is found to host CDWs in the domains only, since there is one low energy stacking configuration, similar to $2\times2$ CDWs. These predictions are offered for experimental verification in twisted bilayer metallic TMDs which host CDWs, and we hope this will stimulate further research on the interplay between the moiré supperlattice and CDW phases intrinsic to the comprising 2D materials.
Remote Moiré Modulation of Decoupled Dirac Subsystems in Twisted Trilayer Graphene
Daegu Gyeongbuk Institute of Science and Technology (DGIST)（大邱庆北科学技术院）；National Institute for Materials Science（国立材料研究所）；Korea Advanced Institute of Science and Technology（韩国科学技术院）；Institute for Basic Science（基础科学研究院）
Modulation of charge density waves in a twisted vortex moire superlattice
Beijing National Center for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences（中国科学院物理研究所，北京凝聚态物理国家研究中心）；School of Physical Sciences, University of Chinese Academy of Sciences（中国科学院大学物理科学学院）；Key Laboratory of advanced Optoelectronic Quantum Architecture and Measurement (MOE), School of Physics, Beijing Institute of Technology（北京理工大学物理学院，先进光电子量子架构与测量教育部重点实验室）；International Center for Quantum Materials, Beijing Institute of Technology（北京理工大学量子材料国际中心）
One-dimensional moire charge density wave in the hidden order state of URu2Si2 induced by fracture
当在两个原子晶格之间形成时，莫尔图案可以导致全新的电子行为。然而，固体的特征不仅在于原子晶格，而且还在于不需要与晶格相称的电荷或磁激发。这就提出了一个问题，如果人们可以通过结合周期性的电子调制和原子晶格来获得莫尔条纹。在这里，我们报告的一维电荷密度波（1D-CDW）的发现，这是一个原子晶格之间的莫尔图案和电子散射的热点在能带结构的隐藏顺序（HO）状态的URu $_2$ Si $_2$。莫尔条纹是通过在低温下使晶体破裂而产生的。我们的研究结果表明，电荷相互作用是URu $_2$ Si $_2$中与HO竞争的最相关的特征之一。
Quantum spin Hall effect from multi-scale band inversion in twisted bilayer Bi$_2$(Te$_{1-x}$Se$_x$)$_3$
莫尔材料由于其高度的可调谐性而成为近年来材料科学中最活跃的领域之一，其独特的性质源于莫尔尺度结构调制。在这里，我们提出了扭曲双层$_2$（Te $_{1-x}$ Se $_x$）$_3$作为一种新的莫尔材料，其中莫尔尺度调制诱导拓扑相变。我们发现，在扭曲双层Bi $_2$（Te $_{1-x}$ Se $_x$）$_3$，一个拓扑绝缘体域和一个正常的绝缘体域共存的莫尔晶格结构，域边界上的边缘状态，使几乎平坦的带，占主导地位的材料性能。边缘状态进一步有助于莫尔尺度带反转，导致莫尔尺度拓扑状态。存在相应的莫尔尺度边缘状态，并且它们可以说是“边缘状态的边缘状态”，这是扭曲双层Bi $_2$（Te $_{1-x}$ Se $_x$）$_3$的独特特征。我们的研究结果不仅提出了扭曲双层Bi $_2$ Te $_3$ -族中新的量子相，而且表明堆叠敏感拓扑材料的扭曲为寻找新的量子材料和器件铺平了道路。
Electronic procrystalline state in moire structures
Beijing National Center for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences（中国科学院物理研究所北京凝聚态物理国家研究中心）；School of Physical Sciences, University of Chinese Academy of Sciences（中国科学院大学物理科学学院）；Hefei National Laboratory（合肥国家实验室）；State Key Laboratory for Advanced Metals and Materials, University of Science and Technology Beijing（北京科技大学先进金属材料国家重点实验室）；New Cornerstone Science Laboratory, Department of Physics, The University of Hong Kong（香港大学物理系新基石科学实验室）；Department of Physics, Boston College（波士顿学院物理系）
Charge Tunable Optical Nonlinearity of Moiré Exciton-Polaritons
Carl von Ossietzky Universität Oldenburg（奥尔登堡卡尔·冯·奥西埃茨基大学）；Xiamen University Malaysia（厦门大学马来西亚分校）；Friedrich-Schiller University Jena（耶拿弗里德里希·席勒大学）；Fraunhofer-Institute for Applied Optics and Precision Engineering IOF（弗劳恩霍夫应用光学和精密工程研究所IOF）；National Institute for Materials Science（国立材料研究所）；Julius-Maximilians-Universität Würzburg（维尔茨堡朱利叶斯-马克西米利安大学）；Ludwig-Maximilians-Universität München（慕尼黑路德维希-马克西米利安大学）
Reconfigurable flat bands from cooperative moiré and charge order
University of St Andrews（圣安德鲁斯大学）；Diamond Light Source（钻石光源）；Max Planck Institute for Chemical Physics of Solids（马克斯·普朗克固体化学物理研究所）；Lund University（隆德大学）
Dynamics of a jointly commensurate moiré charge density wave
Massachusetts Institute of Technology（麻省理工学院）；Tsung-Dao Lee Institute, School of Physics and Astronomy, and Zhangjiang Institute for Advanced Study, Shanghai Jiao Tong University（上海交通大学物理与天文学院、张江高等研究院、李政道研究所）；Stanford University（斯坦福大学）；SIMES, SLAC National Accelerator Laboratory（SLAC国家加速器实验室同步辐射实验站）；Beijing Academy of Quantum Information Sciences（北京量子信息科学研究院）；International Center for Quantum Materials, School of Physics, Peking University（北京大学物理学院量子材料科学中心）；Pohang Accelerator Laboratory（浦项加速器实验室）
Moiré-induced symmetry breaking of charge order in van der Waals heterostructures
Donostia International Physics Center (DIPC)（圣塞巴斯蒂安国际物理中心）；Institute of Theoretical Physics, University of Hamburg（汉堡大学理论物理研究所）；Department of Physics, Indian Institute of Science Education and Research Bhopal（博帕尔印度科学教育研究系物理系）；The Hamburg Centre for Ultrafast Imaging（汉堡超快成像中心）；Centro de Física de Materiales (CSIC-UPV/EHU)（材料物理中心（西班牙国家科研委员会-巴斯克国立大学/巴斯克国立理工大学））；Max Planck Institute for the Structure and Dynamics of Matter（马克斯·普朗克物质结构与动力学研究所）；Yusuf Hamied Department of Chemistry, University of Cambridge（剑桥大学尤瑟夫·哈米德化学系）；Dept. Polymers and Advanced Materials, University of the Basque Country (UPV/EHU)（巴斯克国立大学（UPV/EHU）聚合物与先进材料系）；Ikerbasque, Basque Foundation for Science（伊克拉巴斯科，巴斯克科学基金会）
