Hamiltonian reduction for the magnetic dynamics in antiferromagnetic crystals

2009/10/23 by Dmitry O. Sinitsyn, D. Sinitsyn, Sinitsyn, D.
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · Physics and Astronomy · #37J15 #70H33 #Characterization and Applications of Magnetic Nanoparticles #FOS: Physical sciences #Geomagnetism and Paleomagnetism Studies #Mathematical Physics (math-ph) #Theoretical and Computational Physics #math-ph #math.MP #msc:37J15 #msc:70H33

paper · pdf · doi:10.48550/arxiv.0910.4527

8 pages, 7 figures

openalex publication_date 2009/10/23 · arxiv created 2009/10/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The nonlinear spin dynamics in antiferromagnetic crystals is studied for the magnetic structures similar to that of hematite. For the case when only two magnetization vectors are non-zero and the Hamiltonian has an axial symmetry, a reduction to a Hamiltonian system with one degree of freedom is performed, based on the corresponding conservation law. The analysis of the phase portraits of this system provides tractable analytical and geometric descriptions of the regimes of nonlinear spin dynamics in the crystal.

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