Geodesic
Method of variational derivatives in the theory of spin waves at low temperatures
Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 2, pp. 237-246 
I. P. Dzyub; V. A. Nikolaev. Method of variational derivatives in the theory of spin waves at low temperatures. Teoretičeskaâ i matematičeskaâ fizika, Tome 32 (1977) no. 2, pp. 237-246. http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a6/
@article{TMF_1977_32_2_a6,
     author = {I. P. Dzyub and V. A. Nikolaev},
     title = {Method of variational derivatives in the theory of spin waves at low temperatures},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {237--246},
     year = {1977},
     volume = {32},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a6/}
}
TY  - JOUR
AU  - I. P. Dzyub
AU  - V. A. Nikolaev
TI  - Method of variational derivatives in the theory of spin waves at low temperatures
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1977
SP  - 237
EP  - 246
VL  - 32
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a6/
LA  - ru
ID  - TMF_1977_32_2_a6
ER  - 
%0 Journal Article
%A I. P. Dzyub
%A V. A. Nikolaev
%T Method of variational derivatives in the theory of spin waves at low temperatures
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1977
%P 237-246
%V 32
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1977_32_2_a6/
%G ru
%F TMF_1977_32_2_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

Method of variational derivatives is applied to investigation of the low temperature properties of the isotropic Heisenberg ferromagnet with $S=1/2$. Expressions for the Green functions which include the Hartree–Fock terms and take into account the magnon scattering from the magnetization fluctuations and from each other are shown to give the correct description of the temperature dependence of the magnetization and of the magnon frequency.

[1] S. V. Tyablikov, Metody kvantovoi teorii magnetizma, «Nauka», 1975 | MR

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

[3] Yu. A. Izyumov, F. A. Kassan-ogly, Yu. N. Skryabin, Polevye metody v teorii ferromagnetizma, «Nauka», 1974

[4] N. M. Plakida, Phys. Lett., A43 (1973), 481 ; Н. М. Плакида, И. Р. Русек, Препринт ОИЯИ Р4-8032, Дубна, 1974 | DOI | MR

[5] H. S. Bennett, Ann. Phys., 39 (1966), 127 | DOI

[6] R. A. Tahir-Kheli, Phys. Rev., 159 (1967), 439 | DOI

[7] V. G. Vaks, A. I. Larkin, S. A. Pikin, ZhETF, 53 (1967), 1089

[8] A. B. Harris, D. Kumar, B. I. Halperin, P. C. Hohenberg, Phys. Rev., B3 (1971), 961 | DOI

[9] F. Dyson, Phys. Rev., 102 (1956), 1230 | DOI | MR