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Geometrical moir\'e patterns, generic for almost aligned bilayers of two-dimensional (2D) crystals with similar lattice structure but slightly different lattice constants, lead to zone folding and miniband formation for electronic states.…

Mesoscale and Nanoscale Physics · Physics 2019-04-01 David A. Ruiz-Tijerina , Vladimir I. Fal'ko

The emergence of topologically non-trivial flat bands in moir\'e materials provides an opportunity to explore the interplay between topological physics and correlation effects, leading to the recent experimental realization of interacting…

Mesoscale and Nanoscale Physics · Physics 2024-05-24 Kaijie Yang , Yunzhe Liu , Frank Schindler , Chao-Xing Liu

We demonstrate a generic mechanism to realize topological flat minibands by confining massive Dirac fermions in a periodic moir\'e potential, which can be achieved in a heterobilayer of transition metal dichalcogenides. We show that the…

Mesoscale and Nanoscale Physics · Physics 2022-10-28 Ying Su , Heqiu Li , Chuanwei Zhang , Kai Sun , Shi-Zeng Lin

Since the discovery of the fascinating properties in magic-angle graphene, the exploration of moir\'e systems in other two-dimensional materials has garnered significant attention and given rise to a field known as 'moir\'e physics'. Within…

Mesoscale and Nanoscale Physics · Physics 2025-08-08 Zhao Gong , Qing-Qing Zhang , Hui-Ying Mu , Xing-Tao An , Jian-Jun Liu

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

Atomically-thin layers of two-dimensional materials can be assembled in vertical stacks held together by relatively weak van der Waals forces, allowing for coupling between monolayer crystals with incommensurate lattices and arbitrary…

Strong Coulomb repulsion is predicted to open a many-body charge gap at the Dirac point of graphene, transforming the semimetal into a Mott insulator. However, this correlated insulating phase has remained inaccessible in pristine graphene,…

Gated heterostructures containing bilayer graphene with staggered sublattice potentials are investigated by tight binding model with Rashba spin-orbital coupling and Hubbard interaction. The topological phase diagrams depend on the…

Mesoscale and Nanoscale Physics · Physics 2018-09-05 Ma Luo , Zhibing Li

Moir\'e superlattices are generally assumed to act only at the interface where lattice mismatch or twist occurs. Here, we study charge transport in large-angle helical twisted trilayer graphene, where interlayer tunneling is strongly…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Dohun Kim , Junsik Choe , Takashi Taniguchi , Kenji Watanabe , Gil Young Cho , Youngwook Kim

The recent discovery of topological flat bands in twisted transition metal dichalcogenide homobilayers and multilayer graphene has sparked significant research interest. We propose a new platform for realizing tunable topological moire flat…

Materials Science · Physics 2025-07-08 Xilong Xu , Haonan Wang , Li Yang

We develop a theory for manipulating the effective band structure of interacting helical edge states realized on the boundary of two-dimensional time-reversal symmetric topological insulators. For sufficiently strong interaction, an…

Strongly Correlated Electrons · Physics 2021-11-24 Yang-Zhi Chou , Jennifer Cano , J. H. Pixley

The effect of the Rashba spin orbit coupling (RSOC) on the topological properties of the one-dimensional (1D) extended $s$-wave superconducting Hamiltonian, in the presence of strong electron-electron correlation, is investigated. It is…

Strongly Correlated Electrons · Physics 2025-06-13 Kaushal Kumar Kesharpu , Evgenii A. Kochetov , Alvaro Ferraz

We study the electronic structure and correlated phases of twisted bilayers of platinum diselenide using large-scale ab initio simulations combined with the functional renormalization group. PtSe$_2$ is a group-X transition metal…

Strongly Correlated Electrons · Physics 2022-01-27 Lennart Klebl , Qiaoling Xu , Ammon Fischer , Lede Xian , Martin Claassen , Angel Rubio , Dante M. Kennes

We present theoretical studies of the influence of spin orbit coupling on the spin wave excitations of the Fe monolayer and bilayer on the W(110) surface. The Dzyaloshinskii-Moriya interaction is active in such films, by virtue of the…

Mesoscale and Nanoscale Physics · Physics 2010-10-19 A. T. Costa , R. B. Muniz , S. Lounis , A. B. Klautau , D. L. Mills

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

Motivated by the recent experimental developments in van der Waals heterostructures, we investigate the emergent magnetism in Mott insulator - semimetal moir\'e superlattices by deriving effective spin models and exploring their phase…

Strongly Correlated Electrons · Physics 2024-11-05 M. A. Keskiner , Pouyan Ghaemi , M. Ö. Oktel , Onur Erten

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

We study, the interplay between topology and electron-electron interactions in the moir\'{e} MoTe\(_2\)/WSe\(_2\) heterobilayer. In our analysis we apply an effective two-band model with complex hoppings that incorporates the Ising-type…

Strongly Correlated Electrons · Physics 2025-10-03 Palash Saha , Louk Rademaker , Michał Zegrodnik

We theoretically study the effect of magnetic moir\'e superlattice on the topological surface states by introducing a continuum model of Dirac electrons with a single Dirac cone moving in the time-reversal symmetry breaking periodic…

Mesoscale and Nanoscale Physics · Physics 2022-07-15 Zhaochen Liu , Huan Wang , Jing Wang

When monolayer graphene is crystallographically aligned to hexagonal boron nitride (BN), a moir\'e superlattice is formed, producing characteristic satellite Dirac peaks in the electronic band structure. Aligning a second BN layer to…

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