Construction of Wannier functions from the spectral moments of correlated electron systems Article Swipe

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Frank Freimuth , Stefan Blügel , Yuriy Mokrousov ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2301.04734

When the first four spectral moments are considered, spectral features missing in standard Kohn-Sham (KS) density-functional theory (DFT), such as upper and lower Hubbard bands, as well as spectral satellite peaks, can be described, and the bandwidths can be corrected. Therefore, we have devised a \textit{moment-functional based spectral density functional theory} (MFbSDFT) recently. However, many computational tools in theoretical solid state physics, such as the construction of maximally localized Wannier functions (MLWFs), have been developed for KS-DFT and require modifications if they are supposed to be used in MFbSDFT. Here, we show how generalized Wannier functions may be constructed from the first four spectral moment matrices. We call these functions \textit{maximally localized spectral moment Wannier functions} (MLSMWFs). We demonstrate how MLSMWFs may be used to compute the anomalous Hall effect (AHE) in fcc Ni by Wannier interpolation. More generally, MLSMWFs may be computed from the first $2P$ moments ($P=1,2,3,\dots$). Using more than 4 moments opens the perspective of reproducing all spectral features accurately in MFbSDFT.

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Wannier function Interpolation (computer graphics) Moment (physics) Physics Second moment of area Density functional theory Spectral properties Spectral analysis Quantum mechanics Spectral theory Hilbert space Spectroscopy Classical mechanics Motion (physics) Astrophysics Thermodynamics

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2301.04734
PDF: https://arxiv.org/pdf/2301.04734
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Related Works: 10
OpenAlex ID: https://openalex.org/W4316116433

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DOI: https://doi.org/10.48550/arxiv.2301.04734

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Title: Construction of Wannier functions from the spectral moments of correlated electron systems

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Type: preprint

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Language: en

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Publication year: 2023

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Publication date: 2023-01-11

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Authors: Frank Freimuth, Stefan Blügel, Yuriy Mokrousov

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Landing page: https://arxiv.org/abs/2301.04734

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PDF URL: https://arxiv.org/pdf/2301.04734

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Concepts: Wannier function, Interpolation (computer graphics), Moment (physics), Physics, Second moment of area, Density functional theory, Spectral properties, Spectral analysis, Quantum mechanics, Spectral theory, Hilbert space, Spectroscopy, Classical mechanics, Motion (physics), Astrophysics, Thermodynamics

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