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Understanding the dynamical evolution of large-scale moir\'e systems is crucial for connecting theoretical predictions with experimental observations. Here we develop a machine-learning-based workflow, integrating DeePMD and DeepH…

Materials Science · Physics 2026-04-27 Yifan Ke , Chuanjing Zeng , Xinming Qin , Wei-Lin Tu , Wei Hu , Jinglong Yang

Observation of strong correlations and superconductivity in twisted-bilayer-graphene have stimulated tremendous interest in fundamental and applied physics. In this system, the superposition of two twisted honeycomb lattices, generating a…

Quantum Gases · Physics 2023-03-14 Zengming Meng , Liangwei Wang , Wei Han , Fangde Liu , Kai Wen , Chao Gao , Pengjun Wang , Cheng Chin , Jing Zhang

Linear Mixed-Effects (LME) models are a fundamental tool for modeling correlated data, including cohort studies, longitudinal data analysis, and meta-analysis. Design and analysis of variable selection methods for LMEs is more difficult…

We report deterministic control over moir\'e superlattice interference pattern in twisted bilayer graphene by implementing designable device-level heterostrain with process-induced strain engineering, a widely used technique in industrial…

Mesoscale and Nanoscale Physics · Physics 2023-04-04 Tara Peña , Aditya Dey , Shoieb A. Chowdhury , Ahmad Azizimanesh , Wenhui Hou , Arfan Sewaket , Carla L. Watson , Hesam Askari , Stephen M. Wu

Mixtures of Linear Regressions (MLR) is an important mixture model with many applications. In this model, each observation is generated from one of the several unknown linear regression components, where the identity of the generated…

Machine Learning · Computer Science 2020-03-31 Yuanzhi Li , Yingyu Liang

Exotic collective phenomena emerge when bosons strongly interact within a lattice. However, creating a robust and tunable solid-state platform to explore such phenomena has been elusive. Dual moir\'e systems$-$compromising two…

Mesoscale and Nanoscale Physics · Physics 2025-09-17 Amine Ben Mhenni , Elif Çetiner , Kenji Watanabe , Takashi Taniguchi , Jonathan J. Finley , Nathan P. Wilson

Moir\'e superlattices formed by vertically stacking van der Waals layers host a rich variety of correlated electronic phases and function as novel photonic materials. The moir\'e potential of the superlattice, however, is fixed by the…

Moir\'e-superlattices are ubiquitous in 2D heterostructures, strongly influencing their electronic properties. They give rise to new Dirac cones and are also at the origin of the superconductivity observed in magic-angle bilayer graphene.…

Mesoscale and Nanoscale Physics · Physics 2020-01-31 Márton Szendrő , Péter Süle , Gergely Dobrik , Levente Tapasztó

Lattice Boltzmann Methods (LBM) stand out for their simplicity and computational efficiency while offering the possibility of simulating complex phenomena. While they are optimal for Cartesian meshes, adapted meshes have traditionally been…

Numerical Analysis · Mathematics 2022-02-28 Loïc Gouarin , Benjamin Graille , Marc Massot , Thomas Bellotti

This work put forward a comprehensive study of moire pattern in commensurate twisted bilayer graphene (TBG) to determine the connection of moire period with corresponding twist angle. Using the understanding of moire pattern, computational…

Materials Science · Physics 2024-02-14 Veer Pal , Ajay

Moir\'e superlattices in graphene supported on various substrates have opened a new avenue to engineer graphene's electronic properties. Yet, the exact crystallographic structure on which their band structure depends remains highly debated.…

Interpreting biological networks becomes challenging when molecular components, such as genes or proteins, participate in numerous interactions, resulting in densely connected regions and overlapping interactions that obscure functional…

Molecular Networks · Quantitative Biology 2025-02-18 Adel Heydarabadipour , Herbert M Sauro

Twist-controlled moire superlattices (MS) have emerged as a versatile platform in which to realize artificial systems with complex electronic spectra. Bernal-stacked bilayer graphene (BLG) and hexagonal boron nitride (hBN) form an…

Van der Waals materials enable the construction of atomically sharp interfaces between compounds with distinct crystal and electronic properties. This is dramatically exploited in moir\'e systems, where a lattice mismatch or twist between…

Inter-twisted bilayers of two-dimensional (2D) materials can host low-energy flat bands, which offer opportunity to investigate many intriguing physics associated with strong electron correlations. In the existing systems, ultra-flat bands…

Computational Physics · Physics 2022-03-01 Shengdan Tao , Xuanlin Zhang , Jiaojiao Zhu , Pimo He , Shengyuan A. Yang , Yunhao Lu , Su-Huai Wei

The specific rotational alignment of two-dimensional lattices results in a moir\'e superlattice with a larger period than the original lattices and allows one to engineer the electronic band structure of such materials. So far, transport…

Atomically thin moir\'e materials behave like elastic membranes where at very small twist angles, the van der Waals adhesion energy much exceeds the strain energy. In this ``marginal twist" regime, regions with low adhesion energy expand,…

Mesoscale and Nanoscale Physics · Physics 2025-03-26 Christophe De Beule , Gayani N. Pallewela , Mohammed M. Al Ezzi , Liangtao Peng , E. J. Mele , Shaffique Adam

Moir\'e superlattices have emerged as a premier platform for simulating the Hubbard model, yet achieving high tunability in square-lattice systems remains a key challenge. We demonstrate that $\Gamma$-valley twisted square homobilayers…

Mesoscale and Nanoscale Physics · Physics 2026-03-25 Rui Shi , Kejie Bao , Huan Wang , Jing Wang

In recent years twisted bi-layers of 2D materials became very popular in the field due to the possibility to totally change their electronic properties by simple rotation. At the same time, in the wide field of photonic crystals, this idea…

The experimental observations of many interaction-driven electronic phases in moir\'e superlattices have stimulated intense theoretical and experimental efforts to understand and engineer these correlated physics. Strain is a powerful tool…

Mesoscale and Nanoscale Physics · Physics 2026-03-11 Federico Escudero , Francisco Guinea , Zhen Zhan