First-principles simulation of spin diffusion in static solids using dynamic mean-field theory

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Hauptverfasser: Gräßer, Timo, Uhrig, Götz S., Ernst, Matthias
Format: Preprint
Veröffentlicht: 2025
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author Gräßer, Timo
Uhrig, Götz S.
Ernst, Matthias
author_facet Gräßer, Timo
Uhrig, Götz S.
Ernst, Matthias
contents The dynamics of disordered nuclear spin ensembles are the subject of nuclear magnetic resonance studies. Due to the through-space long-range dipolar interaction generically many spins are involved in the time evolution, so that exact brute force calculations are impossible. The recently established spin dynamic mean-field theory (spinDMFT) represents an efficient and unbiased alternative to overcome this challenge. The approach only requires the dipolar couplings as input and the only prerequisite for its applicability is that each spin interacts with a large number of other spins. In this article, we show that spinDMFT can be used to describe spectral spin diffusion in static samples and to simulate zero-quantum line shapes which eluded an efficient quantitative simulation so far to the best of our knowledge. We perform benchmarks for two test substances that establish an excellent match with published experimental data. As spinDMFT combines low computational effort with high accuracy, we strongly suggest to use it for large-scale simulations of spin diffusion, which are important in various areas of magnetic resonance.
format Preprint
id arxiv_https___arxiv_org_abs_2512_15572
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle First-principles simulation of spin diffusion in static solids using dynamic mean-field theory
Gräßer, Timo
Uhrig, Götz S.
Ernst, Matthias
Materials Science
Other Condensed Matter
Chemical Physics
Quantum Physics
The dynamics of disordered nuclear spin ensembles are the subject of nuclear magnetic resonance studies. Due to the through-space long-range dipolar interaction generically many spins are involved in the time evolution, so that exact brute force calculations are impossible. The recently established spin dynamic mean-field theory (spinDMFT) represents an efficient and unbiased alternative to overcome this challenge. The approach only requires the dipolar couplings as input and the only prerequisite for its applicability is that each spin interacts with a large number of other spins. In this article, we show that spinDMFT can be used to describe spectral spin diffusion in static samples and to simulate zero-quantum line shapes which eluded an efficient quantitative simulation so far to the best of our knowledge. We perform benchmarks for two test substances that establish an excellent match with published experimental data. As spinDMFT combines low computational effort with high accuracy, we strongly suggest to use it for large-scale simulations of spin diffusion, which are important in various areas of magnetic resonance.
title First-principles simulation of spin diffusion in static solids using dynamic mean-field theory
topic Materials Science
Other Condensed Matter
Chemical Physics
Quantum Physics
url https://arxiv.org/abs/2512.15572