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Cubic nonlinear tensor of a ferromagnet

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Abstract

The nonlinear properties of a ferromagnet are studied. Many-time retarded Green's functions are used to obtain an expression for the cubic nonlinearity tensor with allowance for spatial dispersion of a uniaxial ferromagnet. The components due to the dipole-dipole interaction of the spins and also due to the anisotropy energy are found. A comparative analysis is made of the different components of the cubic nonlinearity tensor in both the nonresonance case and for various resonances, in particular when ω ∼ ω0, 3ω ∼ 2w0, 2ω ∼ ω0, 3ω ∼ ω0 for the case in tripling of the frequency. Here, ω is the frequency of the incident wave and ω0 is the frequency of uniform precession. It is shown that in the non-resonance case the largest components are those that are nonvanishing when no allowance is made for spatial dispersion; in the resonance cases the largest components are those due to the dipole-dipole interaction of the ferromagnetism spins.

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Translated from Izvestiya VUZ. Fizika, No. 12, pp. 53–58, December, 1973.

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Genkin, G.M., Pasmanik, A.A. Cubic nonlinear tensor of a ferromagnet. Soviet Physics Journal 16, 1666–1670 (1973). https://doi.org/10.1007/BF00893657

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  • DOI: https://doi.org/10.1007/BF00893657

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