DFT calculations of magnetocrystalline anisotropy energy with fixed spin moment

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Hauptverfasser: Snarski-Adamski, Justyn, Marciniak, Joanna, Marciniak, Wojciech, Rychły-Gruszecka, Justyna, Werwiński, Mirosław
Format: Preprint
Veröffentlicht: 2026
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author Snarski-Adamski, Justyn
Marciniak, Joanna
Marciniak, Wojciech
Rychły-Gruszecka, Justyna
Werwiński, Mirosław
author_facet Snarski-Adamski, Justyn
Marciniak, Joanna
Marciniak, Wojciech
Rychły-Gruszecka, Justyna
Werwiński, Mirosław
contents The development of new-generation permanent magnets is based on experimental efforts and innovative theoretical tools for modeling magnetic properties. Magnetocrystalline anisotropy energy (MAE) - one of the main intrinsic properties of permanent magnets - can be calculated using density functional theory (DFT). However, MAEs determined with different exchange-correlation potentials can vary widely. We show how these seemingly contradictory results can be reconciled using the fully relativistic fixed spin moment (FR-FSM) method. This is because the equilibrium pairs [MAE, $m_s$] calculated with different exchange-correlation potentials overlap with the MAE($m_s$) curve determined from the FR-FSM method ($m_s$ denotes the spin magnetic moment). The FR-FSM method also enables the hypothetical maximum MAE value for a given material to be estimated. In the case of magnetic alloys, MAE(FSM) analysis allows the optimal alloying additions to be determined in order to improve the MAE value. The high independence of the MAE($m_s$) works well for exchange-correlation functionals such as LDA and GGA. However, it is not a universal measure and varies with changes in the value of the U parameter when using LDA+U or GGA+U functionals. Concluding, the framework we describe for MAE versus FSM calculations can be a useful tool in the design of new permanent magnets.
format Preprint
id arxiv_https___arxiv_org_abs_2603_09502
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle DFT calculations of magnetocrystalline anisotropy energy with fixed spin moment
Snarski-Adamski, Justyn
Marciniak, Joanna
Marciniak, Wojciech
Rychły-Gruszecka, Justyna
Werwiński, Mirosław
Materials Science
Applied Physics
Computational Physics
The development of new-generation permanent magnets is based on experimental efforts and innovative theoretical tools for modeling magnetic properties. Magnetocrystalline anisotropy energy (MAE) - one of the main intrinsic properties of permanent magnets - can be calculated using density functional theory (DFT). However, MAEs determined with different exchange-correlation potentials can vary widely. We show how these seemingly contradictory results can be reconciled using the fully relativistic fixed spin moment (FR-FSM) method. This is because the equilibrium pairs [MAE, $m_s$] calculated with different exchange-correlation potentials overlap with the MAE($m_s$) curve determined from the FR-FSM method ($m_s$ denotes the spin magnetic moment). The FR-FSM method also enables the hypothetical maximum MAE value for a given material to be estimated. In the case of magnetic alloys, MAE(FSM) analysis allows the optimal alloying additions to be determined in order to improve the MAE value. The high independence of the MAE($m_s$) works well for exchange-correlation functionals such as LDA and GGA. However, it is not a universal measure and varies with changes in the value of the U parameter when using LDA+U or GGA+U functionals. Concluding, the framework we describe for MAE versus FSM calculations can be a useful tool in the design of new permanent magnets.
title DFT calculations of magnetocrystalline anisotropy energy with fixed spin moment
topic Materials Science
Applied Physics
Computational Physics
url https://arxiv.org/abs/2603.09502