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We present a simple combinatorial model for the characters of the irreducible integrable highest weight modules for complex symmetrizable Kac-Moody algebras. This model can be viewed as a discrete counterpart to the Littelmann path model.…

Representation Theory · Mathematics 2007-05-23 Cristian Lenart , Alexander Postnikov

Amorphous materials offer unique functional characteristics, which are often not observed in their crystalline counterparts. This makes them invaluable for many technological applications, such as diffusion barriers in semiconductor…

Materials Science · Physics 2024-12-03 O. V. Pshyk , S. Zhuk , J. Patidar , A. Wieczorek , A. Sharma , J. Michler , C. Cancellieri , V. Stevanovic , S. Siol

Discovering new solid-state materials requires rapidly exploring the vast space of crystal structures and locating stable regions. Generating stable materials with desired properties and compositions is extremely difficult as we search for…

Machine Learning · Computer Science 2024-11-08 Tri Minh Nguyen , Sherif Abdulkader Tawfik , Truyen Tran , Sunil Gupta , Santu Rana , Svetha Venkatesh

The discovery of novel materials with tailored electronic properties is crucial for modern device technologies, but time-consuming empirical methods hamper progress. We present an inverse design framework combining an enhanced Wasserstein…

Materials Science · Physics 2025-03-11 Danial Ebrahimzadeh , Sarah S. Sharif , Yaser M. Banad

Determining crystal structures from powder X-ray diffraction (PXRD) has been a significant challenge in materials science, particularly when experimental data contain noise or the target structure has a high complexity. While recent AI…

Materials Science · Physics 2026-05-26 Kaixiang Su , Osman Goni Ridwan , Hongfei Xue , Qiang Zhu

In materials science, the challenge of rapid prototyping materials with desired properties often involves extensive experimentation to find suitable microstructures. Additionally, finding microstructures for given properties is typically an…

Machine Learning · Computer Science 2024-05-22 Sébastien Bompas , Stefan Sandfeld

The advent of two-dimensional metamaterials in recent years has ushered in a revolutionary means to manipulate the behavior of light on the nanoscale. The effective parameters of these architected materials render unprecedented control over…

Optics · Physics 2018-11-14 Zhaocheng Liu , Dayu Zhu , Sean P. Rodrigues , Kyu-Tae Lee , Wenshan Cai

We present a structural analysis of the substituted system (Ba$_{1-x}$Sr$_{x}$)CuSi$_{2}$O$_{6}$, which reveals a stable tetragonal crystal structure down to 1.5 K. We explore the structural details with lowtemperature neutron and…

Data-driven methodologies hold the promise of revolutionizing inorganic materials discovery, but they often face challenges due to discrepancies between theoretical predictions and experimental validation. In this work, we present an…

Mechanical metamaterial is a synthetic material that can possess extraordinary physical characteristics, such as abnormal elasticity, stiffness, and stability, by carefully designing its internal structure. To make metamaterials contain…

Computational Engineering, Finance, and Science · Computer Science 2024-06-11 Yanyan Yang , Lili Wang , Xiaoya Zhai , Kai Chen , Wenming Wu , Yunkai Zhao , Ligang Liu , Xiao-Ming Fu

With the rapid advancement of AI technologies, generative models have been increasingly employed in the exploration of novel materials. By integrating traditional computational approaches such as density functional theory (DFT) and…

The elasticity tensor that describes the elastic response of a material to external forces is among the most fundamental properties of materials. The availability of full elasticity tensors for inorganic crystalline compounds, however, is…

Materials Science · Physics 2024-02-12 Mingjian Wen , Matthew K. Horton , Jason M. Munro , Patrick Huck , Kristin A. Persson

The electronic structure of a material fundamentally determines its underlying physical, and by extension, its functional properties. Consequently, the ability to identify or generate materials with desired electronic properties would…

Materials Science · Physics 2025-04-09 Shuyi Jia , Panchapakesan Ganesh , Victor Fung

Deep learning-based generative models have emerged as powerful tools for modeling complex data distributions and generating high-fidelity samples, offering a transformative approach to efficiently explore the configuration space of…

Materials Science · Physics 2025-11-12 Xiaoshan Luo , Zhenyu Wang , Qingchang Wang , Jian Lv , Lei Wang , Yanchao Wang , Yanming Ma

We present a symmetry-based exhaustive approach to explore the structural and compositional richness of two-dimensional materials. We use a ``combinatorial engine'' that constructs potential compounds by occupying all possible Wyckoff…

Materials Science · Physics 2023-04-25 Hai-Chen Wang , Jonathan Schmidt , Miguel A. L. Marques , Ludger Wirtz , Aldo H. Romero

Discovering functional crystalline materials through computational methods remains a formidable challenge in materials science. Here, we introduce VQCrystal, an innovative deep learning framework that leverages discrete latent…

Materials Science · Physics 2024-09-11 ZiJie Qiu , Luozhijie Jin , Zijian Du , Hongyu Chen , Yan Cen , Siqi Sun , Yongfeng Mei , Hao Zhang

Complex structure formation and fast focusing of light inside or through turbid media is a challenging task due to refractive index heterogeneity, random light scattering and speckle noise formation. Here, we have proposed a…

Optics · Physics 2023-10-11 Amit Kumar , Sarvesh Thakur , S. K. Biswas

Discovering materials that must simultaneously satisfy multiple competing constraints remains a central challenge in computational materials design, particularly in data-scarce regimes where conventional data-driven approaches are least…

Materials Science · Physics 2026-04-24 Qiulin Zeng , Tahiya Chowdhury , Md Shafayat Hossain

Existing Genetic Algorithms for crystal structure and polymorph prediction can suffer from stagnation during evolution, with a consequent loss of efficiency and accuracy. An improved Genetic Algorithm (GA) is introduced herein which…

Materials Science · Physics 2008-05-13 N. L. Abraham , M. I. J. Probert

Decarbonization provides new opportunities to plan energy systems for improved health, resilience, equity, and environmental outcomes, but challenges in siting and social acceptance of transition goals and targets threaten progress.…

Optimization and Control · Mathematics 2024-11-27 Michael Lau , Xin Wang , Neha Patankar , Jesse D. Jenkins