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A new graph-based order parameter is introduced for the characterization of atomistic structures. The order parameter is universal to any material/chemical system, and is transferable to all structural geometries. Three sets of data are…

Materials Science · Physics 2022-03-22 James Chapman , Nir Goldman , Brandon Wood

Electron correlations amplify quantum fluctuations and, as such, they have been recognized as the origin of a rich landscape of quantum phases. Whether and how they lead to gapless topological states is an outstanding question, and a…

Over the last few years, crystalline topology has been used in photonic crystals to realize edge- and corner-localized states that enhance light-matter interactions for potential device applications. However, the band-theoretic approaches…

Optics · Physics 2024-02-23 Alexander Cerjan , Terry A. Loring , Hermann Schulz-Baldes

The theory of symmetry indicators has enabled database searches for topological materials in normal conducting phases, which has led to several encyclopedic topological material databases. To date, such a database for topological…

Superconductivity · Physics 2022-07-07 Feng Tang , Seishiro Ono , Xiangang Wan , Haruki Watanabe

We introduce structural heterogeneity, a new topological characteristic for semi-ordered materials that captures their degree of organisation at a mesoscopic level and tracks their time-evolution, ultimately detecting the order-disorder…

Quantum computing has shown great potential in various quantum chemical applications such as drug discovery, material design, and catalyst optimization. Although significant progress has been made in quantum simulation of simple molecules,…

Quantum Physics · Physics 2023-05-30 Changsu Cao , Jinzhao Sun , Xiao Yuan , Han-Shi Hu , Hung Q. Pham , Dingshun Lv

Topology and interactions are foundational concepts in the modern understanding of quantum matter. Their nexus yields three significant research directions: competition between distinct interactions, as in the multiple intertwined phases,…

Electrides are characterized by electron density highly localized in interstitial sites, which do not coincide with the interatomic contacts. The rigorous quantum mechanical definition of electrides is based upon topological criteria…

Materials Science · Physics 2025-08-07 Stefano Racioppi , Eva Zurek

Order parameters based on spherical harmonics and Fourier coefficients already play a significant role in condensed matter research in the context of systems of spherical or point particles. Here, we extend these types of order parameter to…

Soft Condensed Matter · Physics 2010-12-22 Aaron S. Keys , Christopher R. Iacovella , Sharon C. Glotzer

We propose a computationally lean, two-stage approach that reliably predicts self-assembly behavior of complex charged molecules on a metallic surfaces under electrochemical conditions. Stage one uses ab initio simulations to provide…

Computational Physics · Physics 2020-07-15 Benedikt Hartl , Shubham Sharma , Oliver Brügner , Stijn F. L. Mertens , Michael Walter , Gerhard Kahl

The existence of topological order is frequently associated with strongly coupled quantum matter. Here, we demonstrate the existence of topological phases in classical systems of densely packed, hard, anisotropic polyhedrally shaped…

Soft Condensed Matter · Physics 2019-10-02 William Zygmunt , Erin G. Teich , Greg van Anders , Sharon C. Glotzer

Topological phases usually are unreachable in molecular solids, which are characteristic of weakly dispersed energy bands with a large gap, in contrast to topological materials. In this work, however, we propose that nontrivial electronic…

Materials Science · Physics 2022-12-16 Tonghua Yu , Ryotaro Arita , Motoaki Hirayama

Structures and properties of many inorganic compounds have been collected historically. However, it only covers a very small portion of possible inorganic crystals, which implies the presence of numerous currently unknown compounds. A…

Materials Science · Physics 2018-04-18 Atsuto Seko , Hiroyuki Hayashi , Isao Tanaka

Topological materials (TMs) showcase intriguing physical properties defying expectations based on conventional materials, and hold promise for the development of devices with new functionalities. While several theoretically proposed TMs…

Mesoscale and Nanoscale Physics · Physics 2019-04-19 Feng Tang , Hoi Chun Po , Ashvin Vishwanath , Xiangang Wan

Topological insulators are a new class of materials that have engendered considerable research interest among the condensed matter community owing primarily to their application prospects in quantum computations and spintronics. Many of the…

Optics · Physics 2021-08-24 Nitish Kumar Gupta , Arun M. Jayannavar

Topological materials have potential applications for quantum technologies. Non-interacting topological materials, such as e.g., topological insulators and superconductors, are classified by means of fundamental symmetry classes. It is…

Strongly Correlated Electrons · Physics 2021-07-14 Titas Chanda , Rebecca Kraus , Giovanna Morigi , Jakub Zakrzewski

We present a novel approach to generate a fingerprint for crystalline materials that balances efficiency for machine processing and human interpretability, allowing its application in both machine learning inference and understanding of…

Materials Science · Physics 2025-03-21 Tiago F. T. Cerqueira , Haichen Wang , Silvana Botti , Miguel A. L. Marques

Topological phases have attracted much interest in recent years. While there are a number of three-dimensional materials exhibiting topological properties, there are relatively few two-dimensional examples aside from the well-known quantum…

Strongly Correlated Electrons · Physics 2015-06-22 Xiang Hu , Zhicheng Zhong , Gregory A. Fiete

Thermoelectric materials can be used to construct devices which recycle waste heat into electricity. However, the best known thermoelectrics are based on rare, expensive or even toxic elements, which limits their widespread adoption. To…

Materials Science · Physics 2022-12-14 Luis M. Antunes , Keith T. Butler , Ricardo Grau-Crespo

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
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