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Moir\'e superlattices hosting flat bands and correlated states have emerged as a focal topic in condensed matter research. Through first-principles calculations, we investigate three-dimensional flat bands in alternating twisted NbSe$_2$…

Superconductivity · Physics 2026-05-08 Shuang Liu , Peng Chen , Shihao Zhang

There is immense interest in how the local environment influences the electronic structure of materials at the single layer limit. We characterize moir\'e induced spatial variations in the electronic structure of in-situ grown monolayer…

The possibility of continuous tuning of the spectral properties of two types of planar metamaterials based on the moire effect by changing their geometric parameters is demonstrated both experimentally and numerically. It is shown that for…

Applied Physics · Physics 2019-06-07 Sergey Yu. Polevoy , Sergey I. Tarapov

Many-body effects in condensed matter yield novel quantum states when the electronic density of states is enhanced. A vivid example is flat bands, which suppress kinetic energy and let interactions dominate, when they are filled with an…

We investigate the physics of photonic band structures of the moir\'e patterns that emerged when overlapping two uni-dimensional (1D) photonic crystal slabs with mismatched periods. The band structure of our system is a result of the…

A moir\'{e} system is formed when two periodic structures have a slightly mismatched period, resulting in unusual strongly correlated states in the presence of particle-particle interactions. The periodic structures can arise from the…

Strongly Correlated Electrons · Physics 2024-05-01 R. Wang , Z. Song

Recently, artificial moire superlattices of classical waves have aroused tremendous interest, inspired by the newly emergent twistronics that focuses on the peculiar electronic properties induced by flat bands. However, so far, the moire…

Materials Science · Physics 2021-12-28 Tingzhi Liu , Xingjian Zhang , Qicheng Zhang , Xiying Fan , Fengcheng Wu , Chunyin Qiu

It has recently been shown that quantum-confined states can appear in epitaxially grown van der Waals material heterobilayers without a rotational misalignment ($\theta=0^\circ$), associated with flat bands in the Brillouin zone of the…

The long-awaited fractional quantum anomalous Hall (FQAH) effect recently has been observed in the twisted $\mathrm{MoTe_2}$ homobilayers, causing a great sensation. Here, we theoretically investigate the moir\'e band structures of a…

Mesoscale and Nanoscale Physics · Physics 2024-05-28 Miao Liang , Shi-Ping Ding , Ming Wu , Chen Zhao , Jin-Hua Gao

Topological flat bands at the Fermi level offer a promising platform to study a variety of intriguing correlated phase of matter. Here we present band engineering in the twisted orbital-active bilayers with spin-orbit coupling. The symmetry…

Mesoscale and Nanoscale Physics · Physics 2022-09-15 Huan Wang , Yadong Jiang , Zhaochen Liu , Jing Wang

Moir\'e heterostructures provide a powerful framework for tailoring electronic band structures via controlled long-range periodic superlattice potentials. Beyond widely studied moir\'e-tailored flat bands, folded band structures can host…

Strongly Correlated Electrons · Physics 2026-04-29 R. Ganser , M. P. T. Masilamani , B. Geldiyev , M. M. Hirschmann , A. Consiglio , J. Schusser , D. Di Sante , M. Ünzelmann , F. Reinert

We present a low-energy model describing the reconstruction of the electronic spectrum in twisted bilayers of honeycomb crystals with broken sublattice symmetry. The resulting moir\'e patterns are classified into two families with different…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 H. Ochoa , A. Asenjo-Garcia

Topological flat bands in two-dimensional (2D) moir\'e materials have emerged as promising platforms for exploring the interplay between topology and correlation effects. However, realistic calculations of moir\'e band topology using…

Mesoscale and Nanoscale Physics · Physics 2025-11-25 Yunzhe Liu , Ethan Angerhofer , Kaijie Yang , Chao-Xing Liu , Jiabin Yu

Heterostructures are ubiquitous in many optoelectronic devices and as photocatalysts. One of the key features of a heterojunction is the proper band alignment between the two materials. Estimation of the correct relative band positions with…

Mesoscale and Nanoscale Physics · Physics 2024-08-13 Raheel Hammad , Snehith Adabala , Soumya Ghosh

Moir\'e systems provide a highly tunable platform for engineering band structures and exotic correlated phases. Here, we theoretically study a model for a single layer of graphene subject to a smooth moir\'e electrostatic potential, induced…

Strongly Correlated Electrons · Physics 2023-06-30 Jeyong Park , Lasse Gresista , Simon Trebst , Achim Rosch , Jinhong Park

The formation of flat electronic bands from long-wavelength superperiodic moir\'e potentials in van der Waals heterostructures underpins the creation and control of a host of highly-tuneable correlated and topological phases. The underlying…

Strongly Correlated Electrons · Physics 2025-11-11 B. K. Saika , S. Buchberger , S. Mo , A. Rajan , D. Halliday , Y. -C. Yao , L. C. Rhodes , B. Sarpi , T. Balasubramanian , C. Polley , P. Wahl , P. D. C. King

Spatially periodic structures with a long range period, referred to as moir\'e pattern, can be obtained in van der Waals bilayers in the presence of a small stacking angle or of lattice mismatch between the monolayers. Theoretical…

Recently, moir\'e superlattices have been found on the surface of topological insulators (TI) due to the rotational misalignment of topmost layers. In this work, we study the effects of moir\'e superlattices on the topological surface…

Superconductivity · Physics 2021-05-03 Taige Wang , Noah F. Q. Yuan , Liang Fu

Moir\'e materials have become one of the most active fields in material science in recent years due to their high tunability, and their unique properties emerge from the Moir\'e-scale structure modulation. Here, we propose twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2022-03-17 Ikuma Tateishi , Motoaki Hirayama

Twisted heterostructures of two-dimensional crystals can create a moir\'{e} landscape, which can change the properties of it's parent crystals. However, the reproducibility of manual stacking is far from perfect. Here, the alternated…

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