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Efficiently generating energetically stable crystal structures has long been a challenge in material design, primarily due to the immense arrangement of atoms in a crystal lattice. To facilitate the discovery of stable material, we present…

Artificial Intelligence · Computer Science 2025-09-30 Zhelin Li , Rami Mrad , Runxian Jiao , Guan Huang , Jun Shan , Shibing Chu , Yuanping Chen

The large amount of powder diffraction data for which the corresponding crystal structures have not yet been identified suggests the existence of numerous undiscovered, physically relevant crystal structure prototypes. In this paper, we…

Materials Science · Physics 2024-10-31 Abhijith S. Parackal , Rhys E. A. Goodall , Felix A. Faber , Rickard Armiento

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

We propose theoretical approach based on combination of graph theory and generalized Ising model (GIM), which enables systematic determination of extremal structures for crystalline solids without any information about interactions or…

Disordered Systems and Neural Networks · Physics 2017-01-13 Koretaka Yuge

A fundamental challenge in multiparameter persistent homology is the absence of a complete and discrete invariant. To address this issue, we propose an enhanced framework that realizes a holistic understanding of a fully commutative…

Algebraic Topology · Mathematics 2023-11-14 Yasuaki Hiraoka , Ken Nakashima , Ippei Obayashi , Chenguang Xu

The discovery of topological insulators has reformed modern materials science, promising to be a platform for tabletop relativistic physics, electronic transport without scattering, and stable quantum computation. Topological invariants are…

Strongly Correlated Electrons · Physics 2019-08-14 Jorrit Kruthoff , Jan de Boer , Jasper van Wezel

Material representations that are compatible with machine learning models play a key role in developing models that exhibit high accuracy for property prediction. Atomic orbital interactions are one of the important factors that govern the…

Autonomous materials discovery with desired properties is one of the ultimate goals for materials science, and the current studies have been focusing mostly on high-throughput screening based on density functional theory calculations and…

To alleviate the local receptive issue of GCN, Transformers have been exploited to capture the long range dependences of nodes for graph data representation and learning. However, existing graph Transformers generally employ regular…

Machine Learning · Computer Science 2023-05-15 Bo Jiang , Fei Xu , Ziyan Zhang , Jin Tang , Feiping Nie

Semantic segmentation usually benefits from global contexts, fine localisation information, multi-scale features, etc. To advance Transformer-based segmenters with these aspects, we present a simple yet powerful semantic segmentation…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Lihua Fu , Haoyue Tian , Xiangping Bryce Zhai , Pan Gao , Xiaojiang Peng

Learning representations on large graphs is a long-standing challenge due to the inter-dependence nature. Transformers recently have shown promising performance on small graphs thanks to its global attention for capturing all-pair…

Machine Learning · Computer Science 2024-09-16 Qitian Wu , Kai Yang , Hengrui Zhang , David Wipf , Junchi Yan

Architected materials possessing physico-chemical properties adaptable to disparate environmental conditions embody a disruptive new domain of materials science. Fueled by advances in digital design and fabrication, materials shaped into…

Materials Science · Physics 2023-09-25 Dominik Dold , Derek Aranguren van Egmond

State-of-the-art computational methods combined with common idealized structural models provide an incomplete understanding of experiments on real nanostructures, since manufacturing introduces unavoidable deviations from the design. We…

Most AI-for-Materials research to date has focused on ideal crystals, whereas real-world materials inevitably contain defects that play a critical role in modern functional technologies. The defects break geometric symmetry and increase…

Materials Science · Physics 2025-06-03 Ziduo Yang , Xiaoqing Liu , Xiuying Zhang , Pengru Huang , Kostya S. Novoselov , Lei Shen

Determining whether a candidate crystalline material is thermodynamically stable depends on identifying its true ground-state structure, a central challenge in computational materials science. We introduce CrystalGRW, a diffusion-based…

The analysis of ultrafast electron diffraction (UED) data from low-symmetry single crystals of small molecules is often challenged by the difficulty of assigning unique Laue indices to the observed Bragg reflections. For a variety of…

Materials Science · Physics 2025-06-30 Alexander Marx , Sascha W. Epp

Despite their widespread success in various domains, Transformer networks have yet to perform well across datasets in the domain of 3D atomistic graphs such as molecules even when 3D-related inductive biases like translational invariance…

Machine Learning · Computer Science 2023-03-01 Yi-Lun Liao , Tess Smidt

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

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…

We give a realization of crystal graphs for basic representations of the quantum affine algebra $U_q(C_2^{(1)})$ in terms of new combinatorial objects called the Young walls.

Quantum Algebra · Mathematics 2007-05-23 Jin Hong , Seok-Jin Kang