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Global optimization of crystal compositions is a significant yet computationally intensive method to identify stable structures within chemical space. The specific physical properties linked to a three-dimensional atomic arrangement make…

We present a novel method, which we call dual minima hopping method (DMHM), that allows us to find the global minimum of the potential energy surface (PES) within density functional theory for systems where a fast but less accurate…

Other Condensed Matter · Physics 2009-11-11 Stefan Goedecker , Waldemar Hellmann , Thomas Lenosky

Diffraction is the most common method to solve for unknown or partially known crystal structures. However, it remains a challenge to determine the crystal structure of a new material that may have nanoscale size or heterogeneities. Here we…

Via computer simulations of the standard binary Lennard-Jones glass former we have obtained in a systematic way a large set of close-by pairs of minima on the potential energy landscape, i.e. double-well potentials (DWP). We analyze this…

Materials Science · Physics 2009-11-10 J. Reinisch , A. Heuer

For the first time, the crystal structure of the Kob-Andersen mixture has been probed by genetic algorithms calculations. The stable structures of the system with different molar fractions of the components have been identified and their…

Soft Condensed Matter · Physics 2024-09-04 Yu. D. Fomin , N. M. Chtchelkatchev

Crystalline materials are widely used in technological applications, yet their discovery remains a significant challenge. As their properties are driven by structure, crystal structure prediction (CSP) methods play a central role in…

Machine Learning · Computer Science 2026-04-28 Stavros Gerolymatos , J. Kyle Brubaker , Martin J. A. Schuetz , Vladimir V. Gusev

Low dimensional hybrid organic-inorganic perovskites (HOIPs) represent a promising class of electronically active materials for both light absorption and emission. The design space of HOIPs is extremely large, since a diverse space of…

The past decade has witnessed a spectacular development of machine-learned interatomic potentials (MLIPs), to the extent that they are already the approach of choice for most atomistic simulation studies not requiring an explicit treatment…

Materials Science · Physics 2025-11-24 Iñigo Robredo-Magro , Binayak Mukherjee , Hugo Aramberri , Jorge Íñiguez-González

While topological materials are not restricted to crystals, there is no efficient method to diagnose topology in non-crystalline solids such as amorphous materials. Here we introduce the structural spillage, a new indicator that predicts…

Mesoscale and Nanoscale Physics · Physics 2023-10-13 Daniel Muñoz-Segovia , Paul Corbae , Dániel Varjas , Frances Hellman , Sinéad M. Griffin , Adolfo G. Grushin

New crystal structures are frequently derived by performing ionic substitutions on known crystal structures. These derived structures are then used in further experimental analysis, or as the initial guess for structural optimization in…

Materials Science · Physics 2018-02-23 Iek-Heng Chu , Sayan Roychowdhury , Daehui Han , Anubhav Jain , Shyue Ping Ong

Optimization of non-convex loss surfaces containing many local minima remains a critical problem in a variety of domains, including operations research, informatics, and material design. Yet, current techniques either require extremely high…

Machine Learning · Computer Science 2021-07-21 Amil Merchant , Luke Metz , Sam Schoenholz , Ekin Dogus Cubuk

Ground state structures found in nature are in many cases of high symmetry. But structure prediction methods typically render only a small fraction of high symmetry structures. Especially for large crystalline unit cells there are many low…

Computational Physics · Physics 2022-09-13 Hannes Huber , Martin Sommer , Moritz Gubler , Stefan Goedecker

Machine learning interatomic potentials (MLIPs) are routinely used to model diverse atomistic phenomena, yet parameterizing them to accurately capture solid-state phase transformations remains difficult. We present error metrics and…

Materials Science · Physics 2026-01-21 Lorenzo Piersante , Anirudh Raju Natarajan

Properties of crystalline materials are closely linked to microstructure arising from the spatial arrangement, orientation, and phase of nanocrystals. Rapid characterization of crystalline microstructure can accelerate the identification of…

Materials Science · Physics 2026-02-16 Kwanghwi Je , Ellis R. Kennedy , Sungin Kim , Yao Yang , Erik H. Thiede

Hidden Markov models (HMMs) are probabilistic functions of finite Markov chains, or, put in other words, state space models with finite state space. In this paper, we examine subspace estimation methods for HMMs whose output lies a finite…

Statistics Theory · Mathematics 2009-11-20 Sofia Andersson , Tobias Rydén

Structure is the most basic and important property of crystalline solids; it determines directly or indirectly most materials characteristics. However, predicting crystal structure of solids remains a formidable and not fully solved…

Materials Science · Physics 2021-01-04 Haotong Liang , Valentin Stanev , A. Gilad Kusne , Ichiro Takeuchi

We present a novel optimization method, named the Combined Optimization Method (COM), for the joint optimization of two or more cost functions. Unlike the conventional joint optimization schemes, which try to find minima in a weighted sum…

Computational Physics · Physics 2019-06-26 Daiki Adachi , Naoto Tsujimoto , Ryosuke Akashi , Synge Todo , Shinji Tsuneyuki

Materials property predictions have improved from advances in machine learning algorithms, delivering materials discoveries and novel insights through data-driven models of structure-property relationships. Nearly all available models rely…

Materials Science · Physics 2022-04-13 Yiqun Wang , Xiao-Jie Zhang , Fei Xia , Elsa A. Olivetti , Ram Seshadri , James M. Rondinelli

Detecting structures at the particle scale within plastically deformed crystalline materials allows a better understanding of the occurring phenomena. While previous approaches mostly relied on applying hand-chosen criteria on different…

Materials Science · Physics 2024-05-15 Armand Barbot , Riccardo Gatti

Fast and accurate crystal structure prediction (CSP) algorithms and web servers are highly desirable for exploring and discovering new materials out of the infinite design space. However, currently, the computationally expensive first…