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We develop a Magnetic Cluster Expansion (MCE) model for binary bcc and fcc Fe-Cr alloys, as well as for fcc Fe-Ni alloys, and apply it to the investigation of magnetic properties of these alloys over a broad interval of concentrations, and…

Materials Science · Physics 2015-06-17 M. Yu. Lavrentiev , D. Nguyen-Manh , J. Wrobel , S. L. Dudarev

In alloys cluster expansions (CE) are increasingly used to combine first-principles electronic-structure and Monte Carlo methods to predict thermodynamic properties. As a basis-set expansion in terms of lattice geometrical clusters and…

Materials Science · Physics 2017-11-28 Nikolai A. Zarkevich , D. D. Johnson

Extensive first-principle calculations on embedded clusters containing few O, Y, Ti, and Cr atoms as well as vacancies are performed to obtain interaction parameters to be applied in Metropolis Monte Carlo simulations, within the framework…

Materials Science · Physics 2014-11-05 M. Posselt , D. Murali , B. K. Panigrahi

This work is motivated by the need for large-scale simulations to extract physical information on the iron-chromium system that is a binary model alloy for ferritic steels used or proposed in many nuclear applications. From first-principles…

Materials Science · Physics 2013-07-30 Maximilien Levesque , Enrique Martínez , Chu-Chun Fu , Maylise Nastar , Frédéric Soisson

Within the harmonic approximation, the effects of lattice vibration on the thermodynamics of nano-sized coherent clusters in bcc-Fe consisting of vacancies and/or copper are investigated. A combination of on-lattice simulated annealing…

Materials Science · Physics 2015-05-30 M. Talati , M. Posselt , G. Bonny , A. T. Al-Motasem , F. Bergner

Finite temperature disordered solid solutions and magnetic materials are difficult to study directly using first principles calculations, due to the large unit cells and many independent samples that are required. In this work, we develop a…

Materials Science · Physics 2019-05-22 Kevin F. Garrity

Short-range order (SRO) alters the mechanical properties of technologically relevant structural materials such as medium/high entropy alloys and austenitic stainless steels. In this study, we present a generalized spin cluster expansion…

Materials Science · Physics 2024-05-08 Tianyu Su , Brian J. Blankenau , Namhoon Kim , Jessica A. Krogstad , Elif Ertekin

A Magnetic Cluster Expansion (MCE) model for ternary face-centered cubic Fe-Ni-Cr alloys has been developed using DFT data spanning binary and ternary alloy configurations. Using this MCE model Hamiltonian, we perform Monte Carlo…

Materials Science · Physics 2016-11-24 M. Y. Lavrentiev , J. S. Wróbel , D. Nguyen-Manh , S. L. Dudarev , M. G. Ganchenkova

When exploring new magnetic materials, the effect of alloying plays a crucial role for numerous properties. By altering the alloy composition, it is possible to tailor, e.g., the Curie temperature ($T_\text{C}$). In this work, $T_\text{C}$…

Materials Science · Physics 2024-12-19 Marian Arale Brännvall , Rickard Armiento , Björn Alling

Density functional theory (DFT)-based simulations of materials have first-principles accuracy, but are very computationally expensive. For simulating various properties of multi-component alloys, the cluster expansion (CE) technique has…

Materials Science · Physics 2026-04-01 Jacob Jeffries , Bochuan Sun , Enrique Martinez

A Cluster Expansion Model (CEM), representing a relativistic extension of Mayer's cluster expansion, is constructed to study baryon number fluctuations in QCD. The temperature dependent first two coefficients, corresponding to the partial…

High Energy Physics - Phenomenology · Physics 2018-07-03 Volodymyr Vovchenko , Jan Steinheimer , Owe Philipsen , Horst Stoecker

Body-centered cubic (bcc) Fe-Mn systems are known to exhibit a complex and atypical magnetic behaviour from both experiments and 0 K electronic-structure calculations, which is due to the half-filled 3d-band of Mn. We propose effective…

Materials Science · Physics 2021-01-20 Anton Schneider , Chu-Chun Fu , Osamu Waseda , Cyrille Barreteau , Tilmann Hickel

Cluster expansions are commonly employed as surrogate models to link the electronic structure of an alloy to its finite-temperature properties. Using cluster expansions to model materials with several alloying elements is challenging due to…

Materials Science · Physics 2025-01-31 Yann L. Müller , Anirudh Raju Natarajan

Nonstoichiometric ceria(CeO$_{2-\delta}$) is a candidate reaction medium to facilitate two step water splitting cycles and generate hydrogen. Improving upon its thermodynamic suitability through doping requires an understanding of its…

Materials Science · Physics 2012-10-17 Chirranjeevi Balaji Gopal , Axel van de Walle

A quantitative first-principles description of complex substitutional materials like alloys is challenging due to the vast number of configurations and the high computational cost of solving the quantum-mechanical problem. Therefore,…

Materials Science · Physics 2025-06-24 Adrian Stroth , Claudia Draxl , Santiago Rigamonti

Devising a computational tool that assesses the thermodynamic stability of materials is among the most important steps required to build a ``virtual laboratory'', where materials could be designed from first-principles without relying on…

Statistical Mechanics · Physics 2007-05-23 A. van de Walle , G. Ceder

The phase stability of fcc and bcc magnetic binary Fe-Cr, Fe-Ni, Cr-Ni alloys and ternary Fe-Cr-Ni alloys is investigated using a combination of density functional theory (DFT), Cluster Expansion (CE) and Magnetic Cluster Expansion (MCE).…

Materials Science · Physics 2015-02-03 Jan S. Wrobel , Duc Nguyen-Manh , Mikhail Yu. Lavrentiev , Marek Muzyk , Sergei L. Dudarev

Finding Minimum Energy Configurations (MECs) is essential in fields such as physics, chemistry, and materials science, as they represent the most stable states of the systems. In particular, identifying such MECs in multi-component alloys…

Materials Science · Physics 2025-01-27 Md Rajib Khan Musa , Yichen Qian , Jie Peng , David Cereceda

We present an ab-initio-based effective interaction model (EIM) for the study of magnetism, thermodynamics, and their interplay in body-centered cubic Fe-Co alloys, with Co content from 0 to 70%. The model includes explicitly both spin and…

Materials Science · Physics 2020-01-16 Van-Truong Tran , Chu-Chun Fu , Anton Schneider

Materials exhibiting a substitutional disorder such as multicomponent alloys and mixed metal oxides/oxyfluorides are of great importance in many scientific and technological sectors. Disordered materials constitute an overwhelmingly large…

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