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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

The stacking order and twist angle provide abundant opportunities for engineering band structures of two-dimensional materials, including the formation of moire bands, flat bands, and topologically nontrivial bands. The inversion symmetry…

We propose twisted bilayers of certain group IV and IVB trigonal transition metal dichalcogenides (TMDs) MX$_{2}$ (M$=$Zr, Hf, Sn and X$=$S, Se) as moir\'{e} materials. In monolayer form these TMDs have conduction band minima near the three…

Mesoscale and Nanoscale Physics · Physics 2025-11-07 Chao Lei , Perry T. Mahon , Allan H. MacDonald

Moir\'e materials with flat electronic bands provide a highly controllable quantum system for studies of strong-correlation physics and topology. In particular, angle-aligned heterobilayers of semiconducting transition metal dichalcogenides…

Strongly Correlated Electrons · Physics 2022-10-05 Yang Xu , Kaifei Kang , Kenji Watanabe , Takashi Taniguchi , Kin Fai Mak , Jie Shan

Materials combining electrically switchable ferroelectricity and tunable topological states hold significant promise for advancing both foundamental quantum phenomena and innovative device architectures. Here, we employ first-principles…

Materials Science · Physics 2025-06-12 Xinlong Dong , Dan Qiao , Zeyu Li , Zhenhua Qiao , Xiaohong Xu

Moir\'e materials, with superlattice periodicity many times the atomic length scale, have enabled the studies of strong electronic correlations and band topology with unprecedented tunability. However, nonvolatile control of the moir\'e…

Mesoscale and Nanoscale Physics · Physics 2022-09-15 Kaifei Kang , Wenjin Zhao , Yihang Zeng , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak

Layered two-dimensional (2D) materials exhibit unique properties, expanding opportunities in material design. We investigate MX$_2$ transition metal dichalcogenides (TMDCs) (M = Mo, W; X = S, Se, Te) in homo- and heterobilayers with…

Materials Science · Physics 2025-03-13 Yu-Hsiu Lin , William P. Comaskey , Jose L. Mendoza-Cortes

Transition metal dichalcogenide homobilayers unite two frontiers of quantum materials research: sliding ferroelectricity, arising from rhombohedral (R) stacking, and moir\'e quantum matter, emerging from small-angle twisting. The…

Despite progress in HfO2 thin-film ferroelectrics, issues like high coercive fields persist, and the dynamics of twisted ferroelectricity remain largely unexplored. Here, we explore how sliding and twisting in bilayer HfO2 enables low…

Materials Science · Physics 2025-12-05 Jie Sun , Yiheng Shen , Tengfei Cao , Li-Min Liu

We show that moir\'e bands of twisted homobilayers can be topologically nontrivial, and illustrate the tendency by studying valence band states in $\pm K$ valleys of twisted bilayer transition metal dichalcogenides, in particular, bilayer…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Fengcheng Wu , Timothy Lovorn , Emanuel Tutuc , Ivar Martin , A. H. MacDonald

The valence band edge in tiny angle twist bilayers of MoS$_2$ and phosphorene is shown to consist of highly localized energy levels created by a `moir\'e quantum well', i.e. trapped by the interlayer moir\'e potential. These approximately…

Mesoscale and Nanoscale Physics · Physics 2019-01-16 M. Fleischmann , R. Gupta , S. Sharma , S. Shallcross

In twisted bilayers of semiconducting transition metal dichalcogenides (TMDs), a combination of structural rippling and electronic coupling gives rise to periodic moir\'e potentials that can confine charged and neutral excitations. Here, we…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Sara Shabani , Dorri Halbertal , Wenjing Wu , Mingxing Chen , Song Liu , James Hone , Wang Yao , Dmitri N. Basov , Xiaoyang Zhu , Abhay N. Pasupathy

We develop a diagrammatic perturbation theory to account for the emergence of moir\'e bands in the continuum model of twisted bilayer graphene. Our framework is build upon treating the moir\'e potential as a perturbation that transfers…

Mesoscale and Nanoscale Physics · Physics 2024-07-30 Federico Escudero

Symmetry considerations suggest that moire superlattices formed by twisted two-dimensional materials should preserve overall inversion symmetry. However, experiments consistently report robust ferroelectricity in systems such as twisted…

Computational Physics · Physics 2025-10-23 Di Fan , Changming Ke , Shi Liu

We predict that twisted bilayers of 1T-ZrS$_2$ realize a novel and tunable platform to engineer two-dimensional topological quantum phases dominated by strong spin-orbit interactions. At small twist angles, ZrS$_2$ heterostructures give…

Strongly Correlated Electrons · Physics 2022-08-30 Martin Claassen , Lede Xian , Dante M. Kennes , Angel Rubio

Motivated by recent experimental observations of opposite Chern numbers in $R$-type twisted MoTe$_2$ and WSe$_2$ homobilayers, we perform large-scale density-functional-theory (DFT) calculations with machine learning force fields to…

Materials Science · Physics 2024-05-21 Xiao-Wei Zhang , Chong Wang , Xiaoyu Liu , Yueyao Fan , Ting Cao , Di Xiao

Twisted magnetic van der Waals (vdW) materials offer a promising route for multiferroic engineering, yet modeling large-scale moir\'e superlattices remains challenging. Leveraging a newly developed SpinGNN++ framework that effectively…

Materials Science · Physics 2025-07-24 Haiyan Zhu , Hongyu Yu , Weiqin Zhu , Guoliang Yu , Changsong Xu , Hongjun Xiang

Ultraflat bands in twisted bilayers of two-dimensional materials have potential to host strong correlations, including the Mott-insulating phase at half-filling of the band. Using first principles density functional theory calculations, we…

Materials Science · Physics 2019-01-02 Mit H. Naik , Manish Jain

Twisted bilayers of two-dimensional (2D) materials are proving a fertile ground for investigating strongly correlated electron phases. This is because the moir\'e pattern introduced by the relative twist between layers introduces…

Materials Science · Physics 2021-10-13 Hao Tang , Stephen Carr , Efthimios Kaxiras

Semiconductor moir\'e superlattices have been shown to host a wide array of interaction-driven ground states. However, twisted homobilayers have been difficult to study in the limit of large moir\'e wavelength, where interactions are most…

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