Geodesic
High-frequency magnetic susceptibility of an antiferromagnet with magnetic anisotropy of the easy-plane type
Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 1, pp. 132-138 
V. L. Sobolev; B. I. Khudik. High-frequency magnetic susceptibility of an antiferromagnet with magnetic anisotropy of the easy-plane type. Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 1, pp. 132-138. http://geodesic.mathdoc.fr/item/TMF_1980_45_1_a12/
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     title = {High-frequency magnetic susceptibility of~an~antiferromagnet with magnetic anisotropy of~the easy-plane type},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {132--138},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_45_1_a12/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

On the basis of the representation of spin operators in terms of boson operators introduced by V. G. Baryakhtar and D. A. Yablonsky the hamiltonian of magnon-magnon interactions of an easy-plane antiferromagnet is studied. It is shown that the amplitudes of the processes including the Goldstone magnons satisfy the Adler principle. Tensor of high-frequency magnetic susceptibility is calculated.

[1] H. Wagner, Z. Phys., 195 (1966), 273 ; Д. В. Волков, А. А. Желтухин, Ю. П. Блиох, ФТТ, 13 (1971), 1668 ; В. Г. Барьяхтар, В. А. Попов, ФТТ, 10 (1968), 773 | DOI | MR

[2] B. I. Halperin, P. C. Hohenberg, Phys. Rev., 188 (1969), 898 ; A. B. Harris, D. Kumar, B. I. Halperin, P. C. Hohenberg, Phys. Rev., B3 (1971), 961 | DOI | DOI

[3] D. V. Volkov, EChAYa, 4 (1973), 3 | MR

[4] V. G. Baryakhtar, V. L. Sobolev, A. G. Kvirikadze, ZhETF, 65 (1973), 790

[5] V. G. Baryakhtar, V. P. Krasnov, V. L. Sobolev, FTT, 15 (1973), 3039

[6] V. G. Baryakhtar, D. A. Yablonskii, TMF, 31 (1977), 233

[7] E. A. Turov, ZhETF, 36 (1959), 1254

[8] V. G. Baryakhtar, V. L. Sobolev, FTT, 15 (1973), 2651

[9] A. A. Abrikosov, L. P. Gorkov, I. E. Dzyaloshinskii, Metody kvantovoi teorii polya v statisticheskoi fizike, Fizmatgiz, 1962 | MR | Zbl

[10] N. N. Bogolyubov, Izbr. tr., t. 3, gl. II, «Naukova dumka», Kiev, 1971 | MR

[11] V. G. Baryakhtar, D. A. Yablonskii, FTT, 17 (1975), 2294

[12] A. I. Akhiezer, V. G. Baryakhtar, S. V. Peletminskii, Spinovye volny, «Nauka», 1967

[13] V. N. Krivoruchko, Kand. diss., DonFTI AN USSR, Donetsk, 1979