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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     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},
     year = {1973},
     volume = {15},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_15_3_a11/}
}
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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/

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