Geodesic
Spectrum and correlation functions of an anisotropic Heisenberg antiferromagnet
Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 1, pp. 86-102

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A study is made of a matrix Green's function constructed with Pauli operators and describing the transverse components of the dynamic susceptibility tensor Of a two-sublattice anisotropic Heisenberg antiferromagnet with spin 1/2 in a longitudinal magnetic field. In the generalized Hartree–Fook approximation (without allowance for damping) the renormalized magnon spectrum and the one-particle (normal and anomalous) correlation functions in the antiferromagnetic phase are found. The cases of easy-plane and easy-axis anisotropy are studied in detail; in the second case the phase boundary at low temperatures and near the N6el point is calculated. 
@article{TMF_1974_21_1_a7,
     author = {V. I. Lymar' and Yu. G. Rudoi},
     title = {Spectrum and correlation functions of an anisotropic {Heisenberg} antiferromagnet},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {86--102},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_21_1_a7/}
}
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V. I. Lymar'; Yu. G. Rudoi. Spectrum and correlation functions of an anisotropic Heisenberg antiferromagnet. Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 1, pp. 86-102. http://geodesic.mathdoc.fr/item/TMF_1974_21_1_a7/