Geodesic
Spectrum and correlation functions of an anisotropic heisenberg antiferromagnet. II. Paramagnetic phase in the generalized Hartree–Fock approximation
Teoretičeskaâ i matematičeskaâ fizika, Tome 24 (1975) no. 3, pp. 391-399 
V. I. Lymar'; Yu. G. Rudoi. Spectrum and correlation functions of an anisotropic heisenberg antiferromagnet. II. Paramagnetic phase in the generalized Hartree–Fock approximation. Teoretičeskaâ i matematičeskaâ fizika, Tome 24 (1975) no. 3, pp. 391-399. http://geodesic.mathdoc.fr/item/TMF_1975_24_3_a9/
@article{TMF_1975_24_3_a9,
     author = {V. I. Lymar' and Yu. G. Rudoi},
     title = {Spectrum and correlation functions of an anisotropic heisenberg {antiferromagnet.~II.} {Paramagnetic} phase in the generalized {Hartree{\textendash}Fock} approximation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {391--399},
     year = {1975},
     volume = {24},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_24_3_a9/}
}
TY  - JOUR
AU  - V. I. Lymar'
AU  - Yu. G. Rudoi
TI  - Spectrum and correlation functions of an anisotropic heisenberg antiferromagnet. II. Paramagnetic phase in the generalized Hartree–Fock approximation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1975
SP  - 391
EP  - 399
VL  - 24
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1975_24_3_a9/
LA  - ru
ID  - TMF_1975_24_3_a9
ER  - 
%0 Journal Article
%A V. I. Lymar'
%A Yu. G. Rudoi
%T Spectrum and correlation functions of an anisotropic heisenberg antiferromagnet. II. Paramagnetic phase in the generalized Hartree–Fock approximation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1975
%P 391-399
%V 24
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1975_24_3_a9/
%G ru
%F TMF_1975_24_3_a9

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

The matrix Green function is studied, which is constructed on the Pauli operators and describes transversal components of the dynamic susceptibility tensor of the anisotropic Heisenberg antiferromagnet with two sublattices and the spin l/2 in transversal and longitudinal magnetic field. In the generalized Hartree–Fock approximation (the damping not taken into account) the renormalized magnon spectrum and one-particle (normal as well as anomalous) correlation functions in paramagnetic phase are found. The cases of anisotropy of the types “light axis” and “light plane” are investigated in detail and, in particular, the behaviour of the phase boundary is obtained.

[1] V. I. Lymar, Yu. G. Rudoi, TMF, 21 (1974), 86

[2] S. V. Tyablikov, Metody kvantovoi teorii magnetizma, Izd. 2-e, «Nauka», 1975 | MR

[3] Yu. A. Tserkovnikov, TMF, 7 (1971), 250

[4] Yu. G. Rudoi, Yu. A. Tserkovnikov, TMF, 14 (1973), 102

[5] Yu. G. Rudoi, Yu. A. Tserkovnikov, TMF, 19 (1974), 252

[6] F. B. Anderson, H. B. Callen, Phys. Rev., 136 (1964), A1068 | DOI | MR

[7] E. A. Turov, Fizicheskie svoistva magnitouporyadochennykh kristallov, Izd-vo AN SSSR, 1963

[8] H. Falk, Phys. Rev., 133 (1964), A1382 | DOI

[9] M. A. Savchenko, V. V. Tarasenko, FTT, 9 (1967), 3284

[10] J. Feder, E. Pytte, Phys. Rev., 168 (1968), 640 | DOI

[11] V. G. Morozov, Phys. Stat. Sol., 50 (1972), 479 | DOI