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Predicting the Curie temperature of magnetic materials with automated calculations across chemistries and structures
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-0083-369X
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Physics, Chemistry and Biology. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-5571-0814
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2024 (English)In: Physical Review Materials, E-ISSN 2475-9953, Vol. 8, no 11, article id 114417Article in journal (Refereed) Published
Abstract [en]

We develop a technique for predicting the Curie temperature of magnetic materials using density functional theory calculations suitable to include in high-throughput frameworks. We apply four different models, including physically relevant observables, and assess numerical constants by studying 32 ferro- and ferrimagnets. With the best-performing model, the Curie temperature can be predicted with a mean absolute error of approximately 126 K. As predictive factors, the models consider either the energy differences between the magnetic ground state and a magnetically disordered paramagnetic state, or the average constraining fields acting on magnetic moments in a disordered local moments calculation. Additionally, the energy differences are refined by incorporating the magnetic entropy of the paramagnetic state and the number of nearest magnetic neighbors of the magnetic atoms. The most advanced model is found to extend well into Fe1-xCox alloys, indicating the potential efficacy of utilizing our model in designing materials with tailored Curie temperatures by altering alloy compositions. This examination can illuminate the factors influencing magnetic transition temperatures in magnetic materials and provide insights into how they can be employed to make quantitative predictions of Curie temperatures. Our approach is not restricted to specific crystal structures or chemical compositions. It offers a more cost-effective alternative, in terms of human time and need for hands-on oversight, to other density functional theory methods for predicting the Curie temperature. As a result, it provides a practical strategy for conducting high-throughput screening for new technologically applicable magnetic materials. Alternatively, it can complement ML-based screening of magnetic materials by integrating physical principles into such approaches, thereby enhancing their prediction accuracy.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2024. Vol. 8, no 11, article id 114417
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:liu:diva-210152DOI: 10.1103/PhysRevMaterials.8.114417ISI: 001361578800002OAI: oai:DiVA.org:liu-210152DiVA, id: diva2:1917602
Note

Funding Agencies|Swedish Research Council [2022-06725]; Swedish Research Council (VR) [2019-05403, 2023-05194, 2020-05402]; Swedish Government Strategic Research Area in Materials Science on Functional Materials at Linkoeping University [2009-00971]; Swedish e-Science Research Centre (SeRC)

Available from: 2024-12-03 Created: 2024-12-03 Last updated: 2026-01-28
In thesis
1. Theoretical Modeling of Spin Dynamics, Magnetic Phase Transitions, and Spin-Lattice Coupling
Open this publication in new window or tab >>Theoretical Modeling of Spin Dynamics, Magnetic Phase Transitions, and Spin-Lattice Coupling
2025 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Accurate simulation of magnetic materials using computational methods is essential for under-standing their fundamental behavior and enabling their use in technological applications. In this work, I use first-principles calculations to investigate systems with magnetic properties and to develop new methods for predicting the behavior of these materials. The systems studied are characterized by magnetic moments that are localized near the atomic sites. The paramagnetic state, at which these magnetic moments are disordered, and the magnetic order-disorder transition are of specific interest in this work.

To better capture finite-temperature magnetic behavior, a machine learning (ML) model is developed to predict the magnitudes of the magnetic moments at finite temperatures. This enables the inclusion of longitudinal spin fluctuations in coupled spin-lattice dynamics simulations, which would otherwise be computationally prohibitive. The ML model is applied to Fe at both the magnetic transition temperature, 1043 K, and at a pressure and temperature comparable to the conditions of the Earth’s inner core.

Evidently, the magnetic order-disorder transition temperature of ferromagnetic materials, known as the Curie temperature, is a fundamental property, since these materials lose their macroscopic magnetization above this point. Predicting this temperature is therefore crucial for the discovery and design of new magnetic materials. An approach is proposed which is based on the energy difference between magnetically ordered and disordered states, obtained from density functional theory (DFT) calculations. This method offers a balance between accuracy and computational efficiency, allowing its application to a wide variety of systems and making it suitable for high-throughput screening. The approach is fitted to and benchmarked against several known ferro- and ferrimagnetic materials and further evaluated on a particularly challenging class of systems: substitutionally disordered alloys. Finally, this approach enables a high-throughput exploration of Fe-, Mn-, and Co-containing systems to identify promising candidates for magnetic applications.

In addition, the debated role of constraining fields in DFT calculations for constrained non-collinear magnetism is investigated. The study shows that these fields can be used to propagate the transverse dynamics of magnetic moments, thereby providing a theoretical foundation for their use in adiabatic spin dynamics simulations.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2025. p. 58
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 2479
National Category
Condensed Matter Physics
Identifiers
urn:nbn:se:liu:diva-216986 (URN)10.3384/9789181182491 (DOI)9789181182484 (ISBN)9789181182491 (ISBN)
Public defence
2025-09-26, Planck, F-building, Campus Valla, Linköping, 09:00 (English)
Opponent
Supervisors
Available from: 2025-08-27 Created: 2025-08-27 Last updated: 2025-08-27Bibliographically approved
2. High-throughput workflows for modeling piezoelectric and magnetic materials
Open this publication in new window or tab >>High-throughput workflows for modeling piezoelectric and magnetic materials
2026 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

In this licentiate thesis, the search for new materials is presented within the paradigm of materials informatics, which uses high-throughput, density-functional-theory-optimized workflows and machine learning to discover new materials from combinations of the elements of the periodic table. I developed workflows to investigate phase transitions in pseudo-binary fluoride perovskite solid solutions and to estimate the Curie temperature of magnetic materials. Modern material science offers a vast array of computational tools, ranging from machine learning and artificial intelligence to high-performance computing and advanced codes maintained by dedicated researchers. To leverage these techniques and perform large-scale theoretical investigations, workflows can be developed to manage the workload of executing hundreds of thousands of calculations efficiently.

In paper I, we developed a workflow to identify pseudo-binary solid solutions of fluoride perovskites that share at least one common atomic species apart from fluoride. The set of candidate endpoints investigated consists of 3,969 unique perovskites, which would yield 7,874,496 material systems if not systematically reduced through a screening process. The screening involves three steps: (i) verifying that the endpoints are non-conductive by calculating their band gaps using density functional theory (DFT), (ii) ensuring that the endpoints can form a solution with a phase transition along the composition interval, and (iii) assessing the alloy’s synthesizability by comparing it to known theoretical phases with similar stoichiometry. The screening process identified 111 promising solid solutions, and 11 were studied in detail to validate the initial predictions, showing good agreement.

In paper II, we developed a workflow that uses DFT calculations to estimate the Curie temperature of magnetic materials. The process consists of two steps: first, calculating the magnetic ground state, and second, constructing a supercell containing at least 12 magnetic atoms for a disordered local moment calculation. The resulting data, combined with parameters fitted to experimental results, enable prediction of the Curie temperature with a mean absolute error of approximately 126 K.

These works highlight the usefulness of automated computational workflows and the opportunities they create for investigating large numbers of materials and deriving meaningful conclusions from extensive datasets.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2026. p. 31
Series
Linköping Studies in Science and Technology. Licentiate Thesis, ISSN 0280-7971 ; 2024
National Category
Condensed Matter Physics
Identifiers
urn:nbn:se:liu:diva-220858 (URN)10.3384/9789181184204 (DOI)9789181184198 (ISBN)9789181184204 (ISBN)
Presentation
2026-02-27, Plank, F-building, Campus Valla, Linköping, 09:15
Opponent
Supervisors
Available from: 2026-01-28 Created: 2026-01-28 Last updated: 2026-02-09Bibliographically approved

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