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Recent experimental advances have uncovered fractional Chern insulator (FCI) states in twisted MoTe$_2$ (tMoTe$_2$) systems under zero magnetic field. Understanding the interaction effects on topological phases within realistic model…

Strongly Correlated Electrons · Physics 2026-02-03 Jialin Chen , Qiaoyi Li , Xiaoyu Wang , Wei Li

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

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

Flat bands in moir\'e superlattices provide a fertile ground for correlated and topological phases, governed by their quantum geometric properties. While the valley-based paradigm captures key features in select materials, it breaks down in…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Xiaoting Zhou , Yi-Chun Hung , Arun Bansil

Topological flat bands play an essential role in inducing exotic interacting physics, ranging from fractional Chern insulators to superconductivity, in moir\'e materials. In this work, we propose a design principle for realizing topological…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 Yunzhe Liu , Anoj Aryal , Kaijie Yang , Dumitru Calugaru , Zhenyao Fang , Haoyu Hu , Qimin Yan , B. Andrei Bernevig , Chao-xing Liu

Berry curvature physics and quantum geometric effects have been instrumental in advancing topological condensed matter physics in recent decades. Although Landau level-based flat bands and conventional 3D solids have been pivotal in…

Mesoscale and Nanoscale Physics · Physics 2024-05-16 Pratap Chandra Adak , Subhajit Sinha , Amit Agarwal , Mandar M. Deshmukh

Moir\'e superlattices provide a powerful tool to engineer novel quantum phenomena in two-dimensional (2D) heterostructures, where the interactions between the atomically thin layers qualitatively change the electronic band structure of the…

Nontrivial band topology combined with magnetic ordering can produce quantum anomalous Hall insulator (QAHI), which may lead to advances in device concepts. Here, through first-principles calculations, stable monolayer $\mathrm{Fe_2Br_2}$…

Materials Science · Physics 2022-02-22 San-Dong Guo , Yu-Tong Zhu , Bang-Gui Liu

The integer quantum anomalous Hall (QAH) effect is a lattice analog of the quantum Hall effect at zero magnetic field. This striking transport phenomenon occurs in electronic systems with topologically nontrivial bands and spontaneous…

Recently, the twist angle between adjacent sheets of stacked van der Waals materials emerged as a new knob to engineer correlated states of matter in two-dimensional heterostructures in a controlled manner, giving rise to emergent phenomena…

Mesoscale and Nanoscale Physics · Physics 2021-10-18 Lede Xian , Martin Claassen , Dominik Kiese , Michael M. Scherer , Simon Trebst , Dante M. Kennes , Angel Rubio

Motivated by the recent experiments and the wide tunability on the MoTe$_2$/WSe$_2$ moir\'{e} heterobilayer, we consider a physical model to explore the underlying physics for the interplay between the itinerant carriers and the local…

Strongly Correlated Electrons · Physics 2023-12-11 Haichen Jia , Bowen Ma , Rui Leonard Luo , Gang Chen

We investigate an experimental toy-model system of a pseudospin-half square-lattice Hubbard Hamiltonian in [(SrIrO3)1/(CaTiO3)1] to include both nontrivial complex hopping and moderate electronic correlation. While the former induces…

Twisted moir\'e superlattices hosting topological flat bands provide a platform to explore the interplay between topology and correlations. Here we investigate topological band structures in $\Gamma$-valley moir\'e systems based on…

The classic Thouless-Kohmoto-Nightingale-Nijs theorem dictates that a single electron band of a lattice can only harbor an integer quantum Hall conductance as a multiple of e^2/2h, while recent studies have pointed to the emergence of half…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 M. U. Muzaffar , Kai-Zhi Bai , Wei Qin , Guohua Cao , Yutong Yang , Shunhong Zhang , Ping Cui , Shun-Qing Shen , Zhenyu Zhang

Moire superlattices in twisted transition metal dichalcogenide bilayers have emerged as a rich platform for exploring strong correlations using optical spectroscopy. Despite observation of rich Mott-Wigner physics stemming from an interplay…

Mesoscale and Nanoscale Physics · Physics 2021-11-10 Ido Schwartz , Yuya Shimazaki , Clemens Kuhlenkamp , Kenji Watanabe , Takashi Taniguchi , Martin Kroner , Ataç Imamoğlu

The creation of moir\'e superlattices in twisted bilayers of two-dimensional crystals has been utilised to engineer quantum material properties in graphene and transition metal dichalcogenide (TMD) semiconductors. Here, we examine the…

Mesoscale and Nanoscale Physics · Physics 2024-05-27 J. G. McHugh , V. V. Enaldiev , V. I. Fal'ko

Recent years have witnessed tremendous success in the discovery of topological states of matter. Particularly, sophisticated theoretical methods in time-reversal-invariant topological phases have been developed, leading to the comprehensive…

Materials Science · Physics 2021-04-26 Jinbo Pan , Jiabin Yu , Yan-Fang Zhang , Shixuan Du , Anderson Janotti , Chao-Xing Liu , Qimin Yan

Twisted homobilayer transition metal dichalcogenide (TMD) offers a versatile platform for exploring band topology, interaction-driven phases, and magnetic orders. We study the interaction-driven phases in twisted TMD homobilayers and their…

Strongly Correlated Electrons · Physics 2024-09-12 Taige Wang , Trithep Devakul , Michael P. Zaletel , Liang Fu

Moir\'e superlattices formed by transition metal dichalcogenide (TMD) heterobilayers provide a versatile platform for studying strongly correlated electronic, excitonic, and topological phenomena in solids. In particular, angle-aligned…

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