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Amorphous solids lack long-range order. Therefore identifying structural defects -- akin to dislocations in crystalline solids -- that carry plastic flow in these systems remains a daunting challenge. By comparing many different structural…

Reliable and robust methods of predicting the crystal structure of a compound, based only on its chemical composition, is crucial to the study of materials and their applications. Despite considerable ongoing research efforts, crystal…

Materials Science · Physics 2017-07-26 Qi-Jun Hong , Joseph Yasi , Axel van de Walle

Two-dimensional topological materials (TMs) have a variety of properties that make them attractive for applications including spintronics and quantum computation. However, there are only a few such experimentally known materials. To help…

Materials Science · Physics 2020-05-08 Kamal Choudhary , Kevin F. Garrity , Jie Jiang , Ruth Pachter , Francesca Tavazza

Topological phases of matter are often understood and predicted with the help of crystal symmetries, although they don't rely on them to exist. In this chapter we review how topological phases have been recently shown to emerge in amorphous…

Disordered Systems and Neural Networks · Physics 2022-08-23 Adolfo G. Grushin

The prediction of energetically stable crystal structures formed by a given chemical composition is a central problem in solid-state physics. In principle, the crystalline state of assembled atoms can be determined by optimizing the energy…

Materials Science · Physics 2022-06-01 Minoru Kusaba , Chang Liu , Ryo Yoshida

Crystallization of the amorphous phases into metastable crystals plays a fundamental role in the formation of new matter, from geological to biological processes in nature to synthesis and development of new materials in the laboratory.…

Materials Science · Physics 2023-10-03 Muratahan Aykol , Amil Merchant , Simon Batzner , Jennifer N. Wei , Ekin Dogus Cubuk

The prediction of material structure from chemical composition has been a long-standing challenge in natural science. Although there have been various methodological developments and successes with computer simulations, the prediction of…

Materials Science · Physics 2018-05-23 Naoto Tsujimoto , Daiki Adachi , Ryosuke Akashi , Synge Todo , Shinji Tsuneyuki

Identifying the regions responsible for plastic flow in amorphous solids remains an open problem, since structural disorder seems to prevent the direct application of concepts such as dislocations, topological defects that successfully…

Soft Condensed Matter · Physics 2026-05-21 Xin Wang , Yang Xu , Jin Shang , Yi Xing , Jie Zhang , Yujie Wang , Walter Kob , Matteo Baggioli

Crystalline symmetries have played a central role in the identification of topological materials. The use of symmetry indicators and band representations have enabled a classification scheme for crystalline topological materials, leading to…

Topological phases of matter$\unicode{x2013}$comprising both insulators and semimetals$\unicode{x2013}$offer great potential for quantum applications, but identifying new candidates remains challenging due to expensive first-principles…

Materials Science · Physics 2026-04-08 Xinyu Xu , Arif Ullah , Ming Yang

Topological defects (TDs) are crucial for understanding important physical properties of crystalline materials including mechanical failure, ion transport, and two-dimensional melting. This concept has not translated to disordered materials…

Materials Science · Physics 2026-04-09 Matteo Baggioli , Michael L. Falk , Walter Kob

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

This paper presents a set of general strategies for the analysis of structure in amorphous materials and a general approach to assessing the utility of a selected structural description. Measures of structural diversity and utility are…

Soft Condensed Matter · Physics 2020-04-10 Dan Wei , Jie Yang , Min-Qiang Jiang , Lan-Hong Dai , Yun-Jiang Wang , Jeppe Dyre , Ian Douglass , Peter Harrowell

We have developed an efficient and reliable methodology for crystal structure prediction, merging ab initio total-energy calculations and a specifically devised evolutionary algorithm. This method allows one to predict the most stable…

Materials Science · Physics 2009-11-18 A. R. Oganov , C. W. Glass

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

Recent advances in computational materials science present novel opportunities for structure discovery and optimization, including uncovering of unsuspected compounds and metastable structures, electronic structure, surface, and…

Recent decades have seen the discovery of numerous complex materials. At the root of the complexity underlying many of these materials lies a large number of possible contending atomic- and larger-scale configurations and the intricate…

Materials Science · Physics 2023-01-30 P. Ronhovde , S. Chakrabarty , M. Sahu , K. K. Sahu , K. F. Kelton , N. Mauro , Z. Nussinov

The recent discovery of topological insulators has revived interest in the topological properties of insulating band structures. In this work, we extend the topological classification of insulating band structures to include certain point…

Materials Science · Physics 2011-03-15 Liang Fu

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

Topological phases of matter are ubiquitous in crystals, but less is known about their existence in amorphous systems, that lack long-range order. In this perspective, we review the recent progress made on theoretically defining amorphous…

Mesoscale and Nanoscale Physics · Physics 2023-03-30 Paul Corbae , Julia D. Hannukainen , Quentin Marsal , Daniel Muñoz-Segovia , Adolfo G. Grushin
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