Magnon-Magnon Interactions in O(3) Ferromagnets and Equations of Motion for Spin Operators
arXiv:1508.01974 · doi:10.1016/j.aop.2015.08.003
Abstract
The method of equations of motion for spin operators in the case of O(3) Heisenberg ferromagnet is systematically analyzed starting from the effective Lagrangian. It is shown that the random phase approximation and the Callen approximation can be understood in terms of perturbation theory for type B magnons. Also, the second order approximation of Kondo and Yamaji for one dimensional ferromagnet is reduced to the perturbation theory for type A magnons. An emphasis is put on the physical picture, i.e. on magnon-magnon interactions and symmetries of the Heisenberg model. Calculations demonstrate that all three approximations differ in manner in which the magnon-magnon interactions arising from the Wess-Zumino term are treated, from where specific features and limitations of each of them can be deduced.
18 pages, 4 figures in Annals of Physics (2015)
References in corpus (11)
- Spontaneous Magnon Decays
- Many-body Green's function theory of Heisenberg films
- Quantum -- antiferromagnet on the stacked square lattice: Influence of the interlayer coupling on the ground-state magnetic ordering
- Thermodynamics of low dimensional spin-1/2 Heisenberg ferromagnets in an external magnetic field within Green function formalism
- Phase diagram of spin- quantum Heisenberg antiferromagnet on the body-centered-cubic lattice in random phase approximation
- Spin correlations and Dzyaloshinskii-Moriya interaction in CsCuCl
- Dynamical mean-field theory for quantum spin systems: Test of solutions for magnetically ordered states
- Green function theory versus Quantum Monte Carlo calculations for thin magnetic films
- Magnon Energy Renormalization and Low-Temperature Thermodynamics of O(3) Heisenberg Ferromagnets
- Thermodynamics of Ferromagnetic Spin Chains in a Magnetic Field: Impact of the Spin-Wave Interaction
- Validity of spin wave theory for the quantum Heisenberg model
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