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The generation of plausible crystal structures is often the first step in predicting the structure and properties of a material from its chemical composition. Quickly generating and predicting inorganic crystal structures is important for…

Materials Science · Physics 2024-02-13 Luis M. Antunes , Keith T. Butler , Ricardo Grau-Crespo

Understanding the dynamic processes of the glassy system continues to be challenging. Recent advances have shown the power of graph neural networks (GNNs) for determining the correlation between structure and dynamics in the glassy system.…

Disordered Systems and Neural Networks · Physics 2023-10-18 Xiao Jiang , Zean Tian , Kenli Li

This work presents a fast and scalable approach for predicting surface stability and equilibrium crystal morphology in ionic materials using electrostatic analysis. The method constructs stoichiometric slab terminations and evaluates their…

Materials Science · Physics 2026-04-30 Sourav Baiju , Payam Kaghazchi

The low temperature acoustic and thermal properties of amorphous, glassy materials are remarkably similar. All these properties are described theoretically with reasonable quantitative accuracy by assuming that the amorphous solid contains…

Disordered Systems and Neural Networks · Physics 2009-11-13 Dragoş-Victor Anghel , Dmitry Churochkin

A fundamental challenge in materials science pertains to elucidating the relationship between stoichiometry, stability, structure, and property. Recent advances have shown that machine learning can be used to learn such relationships,…

Materials Science · Physics 2022-03-17 Rhys E. A. Goodall , Abhijith S. Parackal , Felix A. Faber , Rickard Armiento , Alpha A. Lee

Glass transitions are widely observed in various types of soft matter systems. However, the physical mechanism of these transitions remains {elusive}, despite years of ambitious research. In particular, an important unanswered question is…

Disordered Systems and Neural Networks · Physics 2022-12-20 Norihiro Oyama , Shihori Koyama , Takeshi Kawasaki

For a very long time, computational approaches to the design of new materials have relied on an iterative process of finding a candidate material and modeling its properties. AI has played a crucial role in this regard, helping to…

Characterizing crystal structures and interfaces down to the atomic level is an important step for designing advanced materials. Modern electron microscopy routinely achieves atomic resolution and is capable to resolve complex arrangements…

Materials Science · Physics 2023-09-07 Andreas Leitherer , Byung Chul Yeo , Christian H. Liebscher , Luca M. Ghiringhelli

Accurate structural analysis is essential to gain physical knowledge and understanding of atomic-scale processes in materials from atomistic simulations. However, traditional analysis methods often reach their limits when applied to…

A regular $A_n$-crystal is an edge-colored directed graph, with $n$ colors, related to an irreducible highest weight integrable module over $U_q(sl_{n+1})$. Based on Stembridge's local axioms for regular simply-laced crystals and a…

Representation Theory · Mathematics 2010-11-15 V. I. Danilov , A. V. Karzanov , G. A. Koshevoy

Predicting electronic band structures from crystal structures is crucial for understanding structure-property correlations in materials science. First-principles approaches are accurate but computationally intensive. Recent years, machine…

Materials Science · Physics 2025-10-02 Weiyi Gong , Tao Sun , Hexin Bai , Jeng-Yuan Tsai , Haibin Ling , Qimin Yan

Inorganic crystals are periodic, highly-symmetric arrangements of atoms in three-dimensional space. Their structures are constrained by the symmetry operations of a crystallographic \emph{space group} and restricted to lie in specific…

Machine Learning · Computer Science 2025-09-30 Omri Puny , Yaron Lipman , Benjamin Kurt Miller

Graph neural networks (GNNs) have struggled to outperform traditional optimization methods on combinatorial problems, limiting their practical impact. We address this gap by introducing a novel chaining procedure for the graph alignment…

Machine Learning · Computer Science 2025-10-06 Marc Lelarge

We study property prediction for crystal materials. A crystal structure consists of a minimal unit cell that is repeated infinitely in 3D space. How to accurately represent such repetitive structures in machine learning models remains…

Chemical Physics · Physics 2023-11-08 Yuchao Lin , Keqiang Yan , Youzhi Luo , Yi Liu , Xiaoning Qian , Shuiwang Ji

The design of crystal materials plays a critical role in areas such as new energy development, biomedical engineering, and semiconductors. Recent advances in data-driven methods have enabled the generation of diverse crystal structures.…

Artificial Intelligence · Computer Science 2025-12-12 Chao Huang , Jiahui Chen , Chen Chen , Chen Chen , Chunyan Chen , Renjie Su , Shiyu Du

Crystals are a state of matter characterised by periodic order. Yet crystalline materials can harbour disorder in many guises, such as non-repeating variations in composition, atom displacements, bonding arrangements, molecular…

Materials Science · Physics 2019-12-03 Arkadiy Simonov , Andrew L. Goodwin

Systematic relations between multiple objects that occur in various fields can be represented as networks. Real-world networks typically exhibit complex topologies whose structural properties are key factors in characterizing and further…

Physics and Society · Physics 2021-04-09 Yoshihisa Tanaka , Ryosuke Kojima , Shoichi Ishida , Fumiyoshi Yamashita , Yasushi Okuno

A common bottleneck for materials discovery is synthesis. While recent methodological advances have resulted in major improvements in the ability to predicatively design novel materials, researchers often still rely on trial-and-error…

Computational Physics · Physics 2021-01-27 Shreshth A. Malik , Rhys E. A. Goodall , Alpha A. Lee

Development of next-generation electronic devices for applications call for the discovery of quantum materials hosting novel electronic, magnetic, and topological properties. Traditional electronic structure methods require expensive…

Computational Physics · Physics 2020-05-28 Hexin Bai , Peng Chu , Jeng-Yuan Tsai , Nathan Wilson , Xiaofeng Qian , Qimin Yan , Haibin Ling

Generative modeling of crystal data distribution is an important yet challenging task due to the unique periodic physical symmetry of crystals. Diffusion-based methods have shown early promise in modeling crystal distribution. More…

Machine Learning · Computer Science 2025-02-05 Hanlin Wu , Yuxuan Song , Jingjing Gong , Ziyao Cao , Yawen Ouyang , Jianbing Zhang , Hao Zhou , Wei-Ying Ma , Jingjing Liu