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Collective Coordinate Dynamics of Antiferromagnet: Gravity by Quantum Metric

Year: 2026
Type: preprint
Abstract: 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.
Language: English
Open Access status: green
OpenAlex ID: W7214020567
Cites: 1
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Related to: 10