Green's functions and the thermodynamic quantities of the Meisenburg model with one-ion anisotropy
Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 3, pp. 381-391
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The method of solution is developed for the chain of equations for Green functions, which is based on using of the exact kinematical relationships. For the particular case $S=1$ ($S$ being the spin of a single atom) the thermodynamical quantities and the Green function are calculated in a large region of temperature and the correction to the Curie temperature is found. In the case of arbitrary spin $S$ the results for the low temperature region are obtained.
@article{TMF_1971_8_3_a9,
author = {N. A. Potapkov},
title = {Green's functions and the thermodynamic quantities of the {Meisenburg} model with one-ion anisotropy},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {381--391},
year = {1971},
volume = {8},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1971_8_3_a9/}
}
TY - JOUR AU - N. A. Potapkov TI - Green's functions and the thermodynamic quantities of the Meisenburg model with one-ion anisotropy JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1971 SP - 381 EP - 391 VL - 8 IS - 3 UR - http://geodesic.mathdoc.fr/item/TMF_1971_8_3_a9/ LA - ru ID - TMF_1971_8_3_a9 ER -
N. A. Potapkov. Green's functions and the thermodynamic quantities of the Meisenburg model with one-ion anisotropy. Teoretičeskaâ i matematičeskaâ fizika, Tome 8 (1971) no. 3, pp. 381-391. http://geodesic.mathdoc.fr/item/TMF_1971_8_3_a9/
[1] N. N. Bogolyubov, S. V. Tyablikov, DAN SSSR, 126 (1959), 53 | Zbl
[2] N. A. Potapkov, Acta Phys. Hung., XIX (1965), 349 | DOI
[3] S. V. Tyablikov, T. Shiklosh, Acta Phys. Hung., XIV (1962), 331 | DOI | Zbl
[4] N. A. Potapkov, Izv. AN SSSR, ser. fiz., XXVIII, 3; (1964), 495
[5] F. J. Dyson, Phys. Rev., 102 (1956), 1217 | DOI | MR | Zbl
[6] S. Peletminskii, V. Baryakhtar, FTT, 6 (1964), 219
[7] S. V. Tyablikov, Metody kvantovoi teorii magnetizma, «Nauka», 1965 | MR
[8] I. M. Ryzhik, I. S. Gradshtein, Tablitsy integralov, summ i proizvedenii, Gostekhizdat, 1951 | MR