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arXiv · 2607.06756

Topological charge, helicity and vorticity conservation and the reverse spin-current model in the II-nd type multifferoics

Pavel A. Andreev
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Abstract

The topological charge and its density are related to the spin vorticity, while the spin vorticity is a part of full vorticity of the medium. The full vorticity is related to an integral of motion called the hydrodynamic helicity. Relation between two integrals of motion (the topological charge and the hydrodynamic helicity) is traced. The role of the spin-current model of the electric polarization formation due to the specific spin distribution in the helicity conservation is demonstrated. The reverse spin-current model is suggested to demonstrate the contribution of the polarization in the spin evolution equation, its importance for the helicity conservation is shown as well. Spin-field model of the electric polarization is the second model for the electric polarization (the deformation, firstly) formation due to the specific spin distribution, which appears from the same principles, but it has nonstationary origin. Moreover, the reverse spin-current model gives a mechanism for the spin structure formation due to the electric polarization in the system. It also appears as the requirement for the conservation of the helicity and the topological charge.

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Pavel A. Andreev. 2026-07-07. Topological charge, helicity and vorticity conservation and the reverse spin-current model in the II-nd type multifferoics. https://arxiv.org/abs/2607.06756

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