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Magnons from time-dependent density-functional perturbation theory and nonempirical Hubbard functionals

Luca Binci1*, Nicola Marzari1,2*, Iurii Timrov3*

1 Theory and Simulation of Materials (THEOS), and National Centre for Computational Design and Discovery of Novel Materials (MARVEL), École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland

2 Laboratory for Materials Simulations, Paul Scherrer Institut, 5232 Villigen PSI, Switzerland

3 PSI Center for Scientific Computing, Theory, and Data, 5232 Villigen PSI, Switzerland

* Corresponding authors emails: lbinci@berkeley.edu, nicola.marzari@epfl.ch, iurii.timrov@psi.ch
DOI10.24435/materialscloud:x3-z3 [version v1]

Publication date: Mar 17, 2025

How to cite this record

Luca Binci, Nicola Marzari, Iurii Timrov, Magnons from time-dependent density-functional perturbation theory and nonempirical Hubbard functionals, Materials Cloud Archive 2025.41 (2025), https://doi.org/10.24435/materialscloud:x3-z3

Description

Spin excitations play a fundamental role in understanding magnetic properties of materials, and have significant technological implications for magnonic devices. However, accurately modeling these in transition-metal and rare-earth compounds remains a formidable challenge. Here, we present a fully first-principles approach for calculating spin-wave spectra based on time-dependent (TD) density-functional perturbation theory (DFPT), using nonempirical Hubbard functionals. This approach is implemented in a general noncollinear formulation, enabling the study of magnons in both collinear and noncollinear magnetic systems. Unlike methods that rely on empirical Hubbard U parameters to describe the ground state, and Heisenberg Hamiltonians for describing magnetic excitations, the methodology developed here probes directly the dynamical spin susceptibility (efficiently evaluated with TDDFPT throught the Liouville-Lanczos approach), and treats the linear variation of the Hubbard augmentation (in itself calculated non-empirically) in full at a self-consistent level. Furthermore, the method satisfies the Goldstone condition without requiring empirical rescaling of the exchange-correlation kernel or explicit enforcement of sum rules, in contrast to existing state-of-the-art techniques. We benchmark the novel computational scheme on prototypical transition-metal monoxides NiO and MnO, showing remarkable agreement with experiments and highlighting the fundamental role of these newly implemented Hubbard corrections. The method holds great promise for describing collective spin excitations in complex materials containing localized electronic states.

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Files

File name Size Description
Materials_Cloud_Archive.zip
MD5md5:4701c2261a908ae6c97ab9ca034fc144
1.0 GiB The file contains all the necessary data to reproduce the calculations in the paper (self-consistent Hubbard parameters and magnon dispersion), plus the python script used to fit the magnon curves and plot the dispersions

License

Files and data are licensed under the terms of the following license: Creative Commons Attribution 4.0 International.
Metadata, except for email addresses, are licensed under the Creative Commons Attribution Share-Alike 4.0 International license.

External references

Preprint (Preprint where the data is discussed)

Keywords

Magnetism Hubbard functionals First-principles MARVEL

Version history:

2025.41 (version v1) [This version] Mar 17, 2025 DOI10.24435/materialscloud:x3-z3