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Quantum Hydrodynamic Representation of the Exchange Interaction in the Theory of Description of Magnetically Ordered Media
Ist Teil von
Moscow University physics bulletin, 2023-08, Vol.78 (4), p.445-452
Ort / Verlag
Moscow: Pleiades Publishing
Erscheinungsjahr
2023
Quelle
SpringerLink
Beschreibungen/Notizen
Ferromagnetics, multiferroics, and other magnetically ordered materials are described by various models of magnetization evolution of the medium. In this work, we develop a many-particle quantum hydrodynamics method for such systems. We derive the evolution equation for macroscopic magnetization, corresponding to the nondissipative version of the Landau–Lifshitz equation for spin-1/2 particles, using the Heisenberg Hamiltonian. It is shown that the well-known form of the exchange interaction contribution in the Landau–Lifshitz equation arises at the third order in the interaction radius. The possibilities for systematic generalization of the obtained result are discussed when considering the fifth order or particles with a large spin.