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PreprintCC BY 4.0arXiv

Dynamic Magnetic Pair-Density Function of a One-Dimensional Ferromagnet

  • Shin-ichi Shamoto
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Abstract

The dynamic magnetic pair-density function (DymPDF) DM(r, E) is derived by extending the static magnetic pair distribution function (mPDF) to finite energy transfer. The analytical DymPDF of a one-dimensional Heisenberg ferromagnet is obtained from the magnon dispersion and compared with simulations performed using {\textsc SpinW}. Excellent agreement is achieved for energy dependence of the nearest-neighbor spin-pair correlation, demonstrating that the DymPDF changes sign at the magnon-mode transition occurring at one-half of the maximum magnon energy. The r-dependence of DymPDF at low energy is also reproduced with a model including magnon correlation length and Fourier-termination effects. These results establish the theoretical foundation of DymPDF analysis for investigating local spin dynamics in magnetic materials.

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Cite

BibTeXRIS
BibTeX
@misc{shamoto2026dynamic,
  title = {{Dynamic Magnetic Pair-Density Function of a One-Dimensional Ferromagnet}},
  author = {Shin-ichi Shamoto},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.21759},
  eprint = {2608.21759},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.21759},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Dynamic Magnetic Pair-Density Function of a One-Dimensional Ferromagnet
AU  - Shin-ichi Shamoto
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2608.21759
UR  - https://arxiv.org/abs/2608.21759
AB  - The dynamic magnetic pair-density function (DymPDF) D_M(r, E) is derived by extending the static magnetic pair distribution function (mPDF) to finite energy transfer. The analytical DymPDF of a one-dimensional Heisenberg ferromagnet is obtained from the magnon dispersion and compared with simulations performed using {\textsc SpinW}. Excellent agreement is achieved for energy dependence of the nearest-neighbor spin-pair correlation, demonstrating that the DymPDF changes sign at the magnon-mode transition occurring at one-half of the maximum magnon energy. The r-dependence of DymPDF at low energy is also reproduced with a model including magnon correlation length and Fourier-termination effects. These results establish the theoretical foundation of DymPDF analysis for investigating local spin dynamics in magnetic materials.
ER  -