Geodesic
Single-particle Green's function in the anisotropic Heisenberg model~II. Allowance for higher correlation functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 3, pp. 388-406

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

The spectrum and damping of magnons is found on the basis of a self-consistent allowance for the dynamics and kinematics of the Pauli operators in an integral term of second order in the interaction. A generalized Tyablikov equation is obtained for the magnetization, this being applicable in the whole range of temperatures and fields and nat containing a term $T_3$ at small $T$. It is shown that the rigorous Dyson theory corresponds exactly to the approximation of the two-particle $T$ scattering matrix of the magnons (without allowance for bound states), so that the nonunitary Dyson–Maleev transformation to Bose operators becomes superfluous. Dyson's equations are generalized to the anisotropic case and a correction is found to the gap in the magnon spectrum. 
@article{TMF_1973_15_3_a11,
     author = {Yu. G. Rudoi and Yu. A. Tserkovnikov},
     title = {Single-particle {Green's} function in the anisotropic {Heisenberg} {model~II.} {Allowance} for higher correlation functions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {388--406},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_15_3_a11/}
}
TY  - JOUR
AU  - Yu. G. Rudoi
AU  - Yu. A. Tserkovnikov
TI  - Single-particle Green's function in the anisotropic Heisenberg model~II. Allowance for higher correlation functions
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1973
SP  - 388
EP  - 406
VL  - 15
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1973_15_3_a11/
LA  - ru
ID  - TMF_1973_15_3_a11
ER  - 
%0 Journal Article
%A Yu. G. Rudoi
%A Yu. A. Tserkovnikov
%T Single-particle Green's function in the anisotropic Heisenberg model~II. Allowance for higher correlation functions
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1973
%P 388-406
%V 15
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1973_15_3_a11/
%G ru
%F TMF_1973_15_3_a11
Yu. G. Rudoi; Yu. A. Tserkovnikov. Single-particle Green's function in the anisotropic Heisenberg model~II. Allowance for higher correlation functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 3, pp. 388-406. http://geodesic.mathdoc.fr/item/TMF_1973_15_3_a11/