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RAS PhysicsЖурнал экспериментальной и теоретической физики Journal of Experimental and Theoretical Physics

  • ISSN (Print) 0044-4510
  • ISSN (Online) 3034-641X

EVOLUTION EQUATION OF ELECTRIC POLARIZATION IN MULTIFERROICS PROPORTIONAL TO THE VECTOR PRODUCT OF CELL ION SPINS UNDER THE INFLUENCE OF THE HEISENBERG HAMILTONIAN

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PII
10.31857/S0044451024110099-1
DOI
10.31857/S0044451024110099
Publication type
Article
Status
Published
Authors
M. I. Trukhanova
  • Affiliation:
    Lomonosov Moscow State University, Faculty of Physics
    Laboratory of Theoretical Physics, Institute for Problems of Safe Development of Nuclear Energy of the Russian Academy of Sciences
Volume/ Edition
Volume 166 / Issue number 5
Pages
665-678
Abstract
An evolution equation for polarization (electric dipole moment density) has been derived for type II multiferroics, where polarization is proportional to the vector product of cell ion spins. A regime is considered in which the main evolution mechanism is exchange Coulomb interaction, modeled by the Heisenberg Hamiltonian. The obtained polarization evolution equation contains spin density and nematic tensor density, which appears as an anticommutator of spins for particles with S = 1 and higher (for particles with spin S = 1/2 it degenerates into particle concentration). Also, to construct a closed model of spin and polarization evolution in multiferroics, equations for the above-mentioned physical quantities were obtained. The spin-current model is justified using the momentum balance equation and spin evolution equation, derived from the microscopic many-particle Pauli equation taking into account spin-orbit interaction. To analyze the mechanism of electric dipole moment formation proportional to the vector product of magnetic ion spins, the spin-current model was used, within which the relationship between the proportionality coefficient and the exchange integral was obtained. The mean-field approximation is used in the work, where the many-particle wave function of the ion system is approximated by the product of single-particle functions.
Keywords
Date of publication
16.09.2025
Year of publication
2025
Number of purchasers
0
Views
69

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