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We theoretically study the electronic structure of magic-angle twisted bilayer graphene with disordered moir\'e patterns. By using an extended continuum model incorporating non-uniform lattice distortion, we find that the local density of…

Mesoscale and Nanoscale Physics · Physics 2022-06-29 Naoto Nakatsuji , Mikito Koshino

Transition metal dichalcogenide materials $MX_2 (M=Mo,W;X=S,Se)$ are being thoroughly studied due to their novel two-dimensional structure, that is associated with exceptional optical and transport properties. From a computational point of…

Materials Science · Physics 2020-02-12 James Sifuna , Pablo García-Fernández , George S. Manyali , George Amolo , Javier Junquera

Twisted multilayer systems, encompassing materials like twisted bilayer graphene (TBG), twisted trilayer graphene, and twisted bilayer transition metal dichalcogenides, have garnered significant attention in condensed matter physics.…

Materials Science · Physics 2025-06-23 Citian Wang , Huaqing Huang

Twisting is a novel technique for creating strongly correlated effects in two-dimensional bilayered materials, and can tunably generate nontrivial topological properties, magnetism, and superconductivity. Magnetism is particularly…

Strongly Correlated Electrons · Physics 2023-07-20 Zhigang Song , Jingshan Qi , Olivia Liebman , Prineha Narang

Large-scale moir\'e systems are extraordinarily sensitive, with even minute atomic shifts leading to significant changes in electronic structures. Here, we investigate the lattice relaxation effect on moir\'e band structures in twisted…

Strongly Correlated Electrons · Physics 2024-08-15 Ning Mao , Cheng Xu , Jiangxu Li , Ting Bao , Peitao Liu , Yong Xu , Claudia Felser , Liang Fu , Yang Zhang

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

Prediction of the electronic structure of functional materials is essential for the engineering of new devices. Conventional electronic structure prediction methods based on density functional theory (DFT) suffer from not only high…

Materials Science · Physics 2023-01-10 Junfei Zhang , Yueqi Li , Xinbo Zhou

Machine learning models of materials$^{1-5}$ accelerate discovery compared to ab initio methods: deep learning models now reproduce density functional theory (DFT)-calculated results at one hundred thousandths of the cost of DFT$^{6}$. To…

The moir\'e superlattice system provides an excellent platform for exploring various novel quantum phenomena. To theoretically tackle the diverse correlated and topological states emerging from moir\'e superlattices, one usually adopts an…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Bo Xie , Jianqi Huang , Jianpeng Liu

Twisted bilayers of transition metal dichalcogenides (TMDC) form moir\'e superlattices resulting in moir\'e minibands in momentum space and hosting localized excitons in real space. While moir\'e superlattices provide access to Mott-Hubbard…

The large-scale search for high-performing candidate 2D materials is limited to calculating a few simple descriptors, usually with first-principles density functional theory calculations. In this work, we alleviate this issue by extending…

Materials Science · Physics 2020-07-07 Victor Venturi , Holden Parks , Zeeshan Ahmad , Venkatasubramanian Viswanathan

According to electronic structure theory, bilayer graphene is expected to have anomalous electronic properties when it has long-period moir\'e patterns produced by small misalignments between its individual layer honeycomb lattices. We have…

Bilayer (2L) transition metal dichalcogenides (TMD) have the ability to host interlayer excitons, where electron and hole parts are spatially separated that leads to much longer lifetime as compared to direct excitons. This property can be…

Materials Science · Physics 2024-09-13 Umakanta Patra , Faiha Mujeeb , Abhiram K , Jai Israni , Subhabrata Dhar

We introduce a generalizable, physics informed strategy for generating training data that enables a machine learning force field accurate over a broad range of twist angles and stacking layer numbers in moire systems. Applying this to…

Materials Science · Physics 2025-11-26 Yueyao Fan , Xiao-Wei Zhang , Yusen Ye , Xiaoyu Liu , Chong Wang , Kaijie Yang , Di Xiao , Ting Cao

The generalized tight-binding model is developed to investigate the magneto-electronic properties in twisted bilayer graphene system. All the interlayer and intralayer atomic interactions are included in the Moire superlattice. The twisted…

Mesoscale and Nanoscale Physics · Physics 2019-07-23 Chiun-Yan Lin , Ming-Fa Lin

Twisted 2D materials exhibit unique vibrational modes called moir\'e phonons, which arise from the moir\'e superlattice. Here, we demonstrate atom-by-atom imaging of phasons, an ultrasoft class of moir\'e phonons in twisted bilayer WSe2.…

Moir\'e systems featuring flat electronic bands exhibit a vast landscape of emergent exotic quantum states, making them one of the resourceful platforms in condensed matter physics in recent times. Tuning these systems via twist angle and…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 Jin Jiang , Qixuan Gao , Zekang Zhou , Cheng Shen , Mario Di Luca , Emily Hajigeorgiou , Kenji Watanabe , Takashi Taniguchi , Mitali Banerjee

We derive electronic structure models for weakly interacting bilayers such as graphene-graphene and graphene-hexagonal boron nitride, based on density functional theory calculations followed by Wannier transformation of electronic states.…

Mesoscale and Nanoscale Physics · Physics 2016-06-28 Shiang Fang , Efthimios Kaxiras

Experimental demonstrations of tunable correlation effects in magic-angle twisted bilayer graphene have put two-dimensional moir\'e quantum materials at the forefront of condensed-matter research. Other twisted few-layer graphitic…

Strongly Correlated Electrons · Physics 2021-08-27 Michael M. Scherer , Dante M. Kennes , Laura Classen

Several research groups have reported on the observation of superconductivity in bilayer graphene structures where single atomic layers of graphene are stacked and then twisted at angles $\theta$ forming Moir\'e superlattices. The…

Superconductivity · Physics 2020-01-15 Evgueni F. Talantsev , Ratu C. Mataira , Wayne P. Crump