We study the electronic structure of quasicrystals composed of incommensurate stacks of atomic layers. We consider two systems: a pair of square lattices with a relative twist angle of $θ=45^\circ$ and a pair of hexagonal lattices with a relative twist angle of $θ=30^\circ$, with various interlayer interaction strengths. This constitutes every two-dimensional bilayer quasicrystal system. We investigate the resonant coupling governing the quasicrystalline order in each quasicrystal symmetry, and calculate the quasi-band dispersion. The resonant interaction emerges in bilayer quasicrystals if all the dominant interlayer interactions occur between the atomic orbitals that have the same magnetic quantum number. Thus, not only the quasicrystal composed of the widely studied graphene, but also those composed of transition metal dichalcogenides will exhibit the quasicrystalline states. We find that some quasicrystalline states, which are usually obscured by decoupled monolayer states, are more prominent, i.e., "exposed", in the systems with strong interlayer interaction. We also show that we can switch the states between quasicrystalline configuration and its layer components, by turning on and off the interlayer symmetry.
Why the first magic-angle is different from others in twisted graphene bilayers: interlayer currents, kinetic and confinement energy and wavefunction localization
Unconventional Altermagnetism in Quasicrystals: A Hyperspatial Projective Construction
School of Physics, Peking University（北京大学物理学院）；Collaborative Innovation Center of Quantum Matter（量子物质协同创新中心）；Center for High Energy Physics, Peking University（北京大学高能物理中心）
Unveiling Exotic Magnetic Phases in Fibonacci Quasicrystalline Stacking of Ferromagnetic Layers through Machine Learning
Centro Atómico Bariloche（巴里洛切原子中心）；Instituto Balseiro（巴尔塞罗研究所）；CNEA（阿根廷国家原子能委员会）；Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET)（阿根廷国家科学技术研究委员会）；Instituto de Nanociencia y Nanotecnología CNEA-CONICET（CNEA-CONICET纳米科学与纳米技术研究所）；Instituto de Investigaciones en Biodiversidad y Medioambiente (INIBIOMA)（生物多样性与环境研究所）；Universidad Nacional del Comahue（科马休国立大学）；Universidad de Ingenieria y Tecnologia- UTEC（工程技术大学（UTEC））
Interlayer Conductance in the Armchair Nanotube -- Zigzag Graphene Ribbon Parallel Contact: Theoretical Proposal of Detection of Wavefunction Growing from the Edge to the Center in the Graphene Ribbon
Electronic Reconstruction at the Quasicrystal-Moiré Crossover in Twisted Bilayer Graphene
National Cheng Kung University（国立成功大学）；Center for Quantum Frontiers of Research & Technology (QFort), National Cheng Kung University（国立成功大学量子前沿研究与技术中心）；National Taiwan University（国立台湾大学）；Center for Condensed Matter Sciences, National Taiwan University（国立台湾大学凝聚态科学中心）；Center of Atomic Initiative for New Materials, National Taiwan University（国立台湾大学原子级新材料创新中心）
Proximity Effects Between the Graphene Quasicrystal and Magic-Angle Twisted Bilayer Graphene
Catalan Institute of Nanoscience and Nanotechnology (ICN2), CSIC and BIST（加泰罗尼亚纳米科学技术研究所（ICN2），西班牙国家研究委员会和巴塞罗那高等研究院）；Department of Physics, Campus UAB（巴塞罗那自治大学物理系）；Institute of Condensed Matter and Nanosciences, Université catholique de Louvain (UCLouvain)（天主教鲁汶大学凝聚态与纳米科学研究所）；ICREA–Institució Catalana de Recerca i Estudis Avançats（加泰罗尼亚研究与高级研究所（ICREA））
Effect of pressure on the magnetic properties of (Co$_{0.5}$Fe$_{0.5}$)$_5$GeTe$_2$
Budapest University of Technology and Economics（布达佩斯技术与经济大学）；MTA-BME Correlated van der Waals Structures Momentum Research Group（匈牙利科学院-布达佩斯技术与经济大学关联范德华结构动量研究组）；Zernike Institute for Advanced Materials, University of Groningen（格罗宁根大学泽尼克先进材料研究所）；University of Manchester（曼彻斯特大学）；Chalmers University of Technology（查尔姆斯理工大学）
Chiral limits and effect of light on the Hofstadter butterfly in twisted bilayer graphene
研究了不同情况下磁场在扭曲双层石墨烯（TBG）中诱导的Hofstadter蝶。首先，我们研究了平衡的情况下，并确定层间跳跃的过程，是最关键的霍夫施塔特蝴蝶的外观。令人惊讶的是，对于霍夫施塔特蝴蝶的出现很重要的跳跃过程可以归类为AA堆叠类型-即等效子晶格之间的层间跳跃。这与AB/BA型跳跃形成对比，AB/BA型跳跃对于魔角TBG中的平坦带的出现是重要的，并且在[Phys. Rev. Lett. 122，106405（2019）]。我们还发现，如果AB型层间跳跃过程被关闭，所得到的模型是手性的，但不同于\cite{Tarnopolsky}中讨论的模型。因此，TBG有两个独立的手征极限-其中一个对于理解平坦带的形成很重要，另一个对于Hofstadter蝴蝶很重要。以此为动机，我们讨论了AA型跳跃与晶格弛豫效应相结合的作用，可以使个人朗道水平略难解决在实验设置比人们预期从非松弛晶格设置。最后，我们考虑了不同形式的光对蝴蝶分形结构的影响。特别是，我们研究了圆偏振光和纵向光的影响，从波导。当系统暴露于圆偏振光时，我们发现蝴蝶在能量$E=0$方面具有越来越明显的不对称性。这是由于引入了间隙项，该间隙项打破了上述两个手性极限的手征对称性。最后，我们研究了纵向光的效果，可以产生在波导的出口，在一个稍微简化的模型。在这里，我们发现...
Beyond conventional skyrmions in synthetic antiferromagnets
University of Glasgow（格拉斯哥大学）；Swiss Federal Laboratories for Material Science and Technology (Empa)（瑞士联邦材料科学与技术研究所）；National Physical Laboratory（英国国家物理实验室）；University of California, Santa Cruz（加州大学圣克鲁兹分校）；Politecnico di Bari（巴里理工大学）；University of Leeds（利兹大学）；Lawrence Berkeley National Laboratory（劳伦斯伯克利国家实验室）
