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Collective Coordinate Dynamics of Antiferromagnet: Gravity by Quantum Metric
Abstract
The collective coordinate dynamics of antiferromagnetic and ferrimagnetic textures emerges as a geodesic equation governed by the quantum geometry of the CP1 state associated with the Néel vector, rendering an effective Riemannian gravity and a Lorentz force in the texture motion. This unveils a physical scenario fundamentally distinct from the Thiele equation widely used for ferromagnetic textures, which is inertialess without any gravity analogy. Applying our framework to an optically driven ultrafast antiferromagnetic domain wall, we can explain the helicity-dependent asymmetric motion observed experimentally and predict a vibrantly breathing wall width.
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BibTeX
@misc{deng2026collective,
title = {{Collective Coordinate Dynamics of Antiferromagnet: Gravity by Quantum Metric}},
author = {Kuangyin Deng and Ran Cheng},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24975},
eprint = {2609.24975},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24975},
}
RIS
TY - UNPB
TI - Collective Coordinate Dynamics of Antiferromagnet: Gravity by Quantum Metric
AU - Kuangyin Deng
AU - Ran Cheng
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.24975
UR - https://arxiv.org/abs/2609.24975
AB - The collective coordinate dynamics of antiferromagnetic and ferrimagnetic textures emerges as a geodesic equation governed by the quantum geometry of the CP^1 state associated with the Néel vector, rendering an effective Riemannian gravity and a Lorentz force in the texture motion. This unveils a physical scenario fundamentally distinct from the Thiele equation widely used for ferromagnetic textures, which is inertialess without any gravity analogy. Applying our framework to an optically driven ultrafast antiferromagnetic domain wall, we can explain the helicity-dependent asymmetric motion observed experimentally and predict a vibrantly breathing wall width.
ER -