Geodesic
Single-particle Green's function in an~anisotropic Heisenberg model. III.~Spectrum and damping for anisotropy of the easy plane type
Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 2, pp. 252-268

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A study is made of the matrix Green's function constructed from Pauli operators similar to the one used in the theory of superfluidtty and superconductivity. The poles of the dynamical susceptibility and a renormalized spectrum of Bogolyubov-type magnons are found. General expressions are obtained for the normal and anomalous stngle-particle correlation functions and also an equation for the magnetization that generalizes Tyablikov theory. A canonical $u-v$-transformation is applied to the quasi-Bose operators in order to calculate the contribution of the integral term of second order to the energy shift and damping of magnons at low temperatures. 
@article{TMF_1974_19_2_a10,
     author = {Yu. G. Rudoi and Yu. A. Tserkovnikov},
     title = {Single-particle {Green's} function in an~anisotropic {Heisenberg} model. {III.~Spectrum} and damping for anisotropy of the easy plane type},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {252--268},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_19_2_a10/}
}
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Yu. G. Rudoi; Yu. A. Tserkovnikov. Single-particle Green's function in an~anisotropic Heisenberg model. III.~Spectrum and damping for anisotropy of the easy plane type. Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 2, pp. 252-268. http://geodesic.mathdoc.fr/item/TMF_1974_19_2_a10/