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 TMF, 1976, Volume 26, Number 3, Pages 387–396 (Mi tmf3238)

Quasicollective spin waves in the paramagnetic region of an anisotropic Heisenberg ferromagnet

Yu. G. Rudoi

Abstract: A second-order theory is constructed for an anisotropic Heisenberg ferromagnet of the easy axis type. The theory is based on the method of the equations of motion for the Green's functions. The contribution of the fluctuations of the magnon density operator is taken into account partly in the linearization. It is shown that in the region of sufficiently large momenta the poles of the single-particle Green's function have the ordinary spin-wave dispersion law, and the renormalization is determined by the correlation functions of the short-range order. The reciprocal correlation radius is estimated, and this agrees with phenomenological theory.

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English version:
Theoretical and Mathematical Physics, 1976, 26:3, 263–269

Citation: Yu. G. Rudoi, “Quasicollective spin waves in the paramagnetic region of an anisotropic Heisenberg ferromagnet”, TMF, 26:3 (1976), 387–396; Theoret. and Math. Phys., 26:3 (1976), 263–269

Citation in format AMSBIB
\Bibitem{Rud76} \by Yu.~G.~Rudoi \paper Quasicollective spin waves in the paramagnetic region of an~anisotropic Heisenberg ferromagnet \jour TMF \yr 1976 \vol 26 \issue 3 \pages 387--396 \mathnet{http://mi.mathnet.ru/tmf3238} \transl \jour Theoret. and Math. Phys. \yr 1976 \vol 26 \issue 3 \pages 263--269 \crossref{https://doi.org/10.1007/BF01032099} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Yu. G. Rudoi, “Tensor of the inhomogeneous dynamic susceptibility of an anisotropic Heisenberg ferromagnet and Bogolyubov inequalities. I. Single-particle matrix Green's function and transverse components of the susceptibility tensor”, Theoret. and Math. Phys., 38:1 (1979), 68–78
2. Yu. A. Tserkovnikov, “Construction of the correlation functions of the Heisenberg ferromagnet in the ferromagnetic and paramagnetic regions”, Theoret. and Math. Phys., 40:2 (1979), 726–738
3. Yu. A. Tserkovnikov, “Correlation functions of a Heisenberg ferromagnet in the paramagnetic region”, Theoret. and Math. Phys., 52:1 (1982), 712–721
4. Yu. G. Rudoy, “The Bogoliubov–Tyablikov Green's function method in the quantum theory of magnetism”, Theoret. and Math. Phys., 168:3 (2011), 1318–1329
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