Geodesic
Calculation of~the high-frequency magnetic susceptibility tensor of~a~magnet
Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 2, pp. 280-287

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An algorithm for calculating nondiagonal components of the high-frequency magnetic susceptibility tensor of a magnet $\chi(\mathbf k,\omega)$ is developed which is based on a special representation of spin operators [1]. It is shown that the calculation of $\chi_{xy}(\mathbf k,\omega)$ and $\chi_{yx}(\mathbf k,\omega)$ in this representation is reduced to calculating one-particle, Green functions of quasiparticles and certain coefficients which are of the form of series similar to the series for the mass operator of the one-particle Green functions. 
@article{TMF_1980_45_2_a13,
     author = {V. G. Bar'yakhtar and V. N. Krivoruchko and D. A. Yablonskii},
     title = {Calculation of~the high-frequency magnetic susceptibility tensor of~a~magnet},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {280--287},
     publisher = {mathdoc},
     volume = {45},
     number = {2},
     year = {1980},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_45_2_a13/}
}
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V. G. Bar'yakhtar; V. N. Krivoruchko; D. A. Yablonskii. Calculation of~the high-frequency magnetic susceptibility tensor of~a~magnet. Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 2, pp. 280-287. http://geodesic.mathdoc.fr/item/TMF_1980_45_2_a13/