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Rotational misalignment or twisting of two mono-layers of graphene strongly influences its electronic properties. Structurally, twisting leads to large periodic supercell structures, which in turn can support intriguing strongly correlated…

We systematically explore the structural and electronic properties of twisted trilayer graphene systems. In general, these systems are characterized by two twist angles, which lead to two incommensurate moir\'{e} periods. We show that…

Strongly Correlated Electrons · Physics 2023-10-31 Charles Yang , Julian May-Mann , Ziyan Zhu , Trithep Devakul

Moir\'e lattices provide a highly tunable platform for exploring the interplay between electronic correlations and band topology. Introducing a second moir\'e pattern extends this paradigm: interference between the two moir\'e patterns…

Twisted MoTe$_2$ hosts intriguing correlated quantum phenomena including the fractional quantum anomalous Hall effect in twisted bilayer (t-BL) MoTe$_2$ near 3.7$^\circ$, which is sensitive to the twist angle and moir\'e superlattices.…

We develop a low-energy continuum model to describe the moir\'{e} physics of heterostructures, which is a generalization of the celebrated Bistritzer-MacDonald (BM) method [R. Bistritzer and A. H. MacDonald, Proc. Natl. Acad. Sci. U.S.A.…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 David T. S. Perkins , Joseph J. Betouras

In twisted bilayer graphene (TBG) a moir\'e pattern forms that introduces a new length scale to the material. At the 'magic' twist angle of 1.1{\deg}, this causes a flat band to form, yielding emergent properties such as correlated…

A real-space method using generating integers is used to classify the possible moire patterns for two equal hexagonal lattices. The result is that the rotations that take (n,m) to (m,n) with n,m relatively prime form the fundamental moire…

Computational Physics · Physics 2022-11-29 Matthew Ciesler , Damien West , Shengbai Zhang

Recent studies of La$_3$Ni$_2$O$_7$ have identified a bilayer (2222) structure and an unexpected alternating monolayer-trilayer (1313) structure, both of which feature signatures of superconductivity near 80 K under high pressures. Using…

Moir\'e patterns arising from twisted van der Waals stacks fundamentally reshape their electronic properties, enabling band-structure engineering that has driven rapidly growing interest in this field. In studying electronic properties,…

Mesoscale and Nanoscale Physics · Physics 2025-11-12 Namkyung Lee , Hangyeol Park , Seungwon Jung , Baeksan Jang , Seonyu Lee , Joonho Jang

Spatial control of topology is highly desirable for realizing tunable quantum functionalities in materials. Moir\'e superlattices formed by twisting van der Waals heterostructures provide a natural platform for spatially modulated…

Materials Science · Physics 2026-05-28 Arjyama Bordoloi , Daniel Kaplan , Sobhit Singh

The impurity-induced quasiparticle interference(QPI) in the parent compounds of iron-pnictide superconductors is investigated based on a phenomenological two-orbital four-band model and T-matrix method. We find the QPI is sensitive to the…

Superconductivity · Physics 2011-10-18 Huaixiang Huang , Yi Gao , Degang Zhang , C. S. Ting

Twisted bilayers host many emergent phenomena in which the electronic excitations (quasiparticles - QPs) are closely intertwined with the local stacking order. By inspecting twisted hexagonal boron nitride (t-hBN), we show that non-local…

Materials Science · Physics 2024-07-01 Arsineh Apelian , Annabelle Canestraight , Songyuan Liu , Vojtech Vlcek

Moir\'e engineering in layered crystals has recently gained considerable attention due to the discovery of various structural and physical phenomena, including interfacial reconstruction, superconductivity, magnetism, and distinctive…

Materials Science · Physics 2025-08-14 Jieun Yeon , Kihyun Lee , Myeongjin Jang , Tae Keun Yun , Jongho Park , Changyoung Kim , Kwanpyo Kim

Engineering moir\'e superlattices in van der Waals heterostructures provides fundamental control over emergent electronic, structural, and optical properties allowing to affect topological and correlated phenomena. This control is achieved…

Mesoscale and Nanoscale Physics · Physics 2025-07-22 Dongdong An , Tao Zhang , Qiaoling Xu , Hailing Guo , Majeed Ur Rehman , Dante M. Kennes , Angel Rubio , Lei Wang , Lede Xian

The novel physics of twisted bilayer graphene has motivated extensive studies of magic-angle flat bands hosted by moir\'e structures in electronic, photonic and acoustic systems. On the other hand, bound states in the continuum (BICs) have…

Optics · Physics 2022-07-13 Lei Huang , Weixuan Zhang , Xiangdong Zhang

Taking advantage of the large electron escape depth of soft x-ray angle resolved photoemission spectroscopy we report electronic structure measurements of (111)-oriented [LaNiO3/LaMnO3] superlattices and LaNiO3 epitaxial films. For thin…

A two-dimensional (2D) hetero-bilayer system consisting of MoS2 on WSe2, deposited on epitaxial graphene, is studied by scanning tunneling microscopy and spectroscopy at temperatures of 5 and 80 K. A moir\'e pattern is observed, arising…

Two-dimensional materials on metallic surfaces or stacked one on top of the other can form a variety of moir\'e superstructures depending on the possible parameter and symmetry mismatch and misorientation angle. In most cases, such as…

Materials Science · Physics 2021-05-10 Virginia Carnevali , Stefano Marcantoni , Maria Peressi

When atomically thin two-dimensional (2D) materials are layered they often form incommensurate non-crystalline structures that exhibit long-period moir{\' e} patterns when examined by scanning probes. In this paper we present an approach…

Mesoscale and Nanoscale Physics · Physics 2015-02-23 Jeil Jung , Arnaud Raoux , Zhenhua Qiao , Allan H. MacDonald

The low symmetry and anistropic lattice of 1T$'$ WTe$_2$ is responsible for the existence of parallel one-dimensional channels in the moir\'e patterns of twisted bilayers. This gives the opportunity to explore moir\'e physics of a different…

Materials Science · Physics 2024-07-11 Samuel J. Magorrian , Nicholas D. M. Hine