Abstract:
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.
Citation:
V. I. Lymar', Yu. G. Rudoi, “Spectrum and correlation functions of an anisotropic heisenberg antiferromagnet. II. Paramagnetic phase in the generalized Hartree–Fock approximation”, TMF, 24:3 (1975), 391–399; Theoret. and Math. Phys., 24:3 (1975), 912–917
This publication is cited in the following 7 articles:
Christoph P. Hofmann, “Antiferromagnetic dispersion relations and nature of magnon pressure”, Physica B: Condensed Matter, 611 (2021), 412793
Yu. G. Rudoy, “The Bogoliubov–Tyablikov Green's function method in the quantum theory of magnetism”, Theoret. and Math. Phys., 168:3 (2011), 1318–1329
A. A. Isaev, M. Yu. Kovalevsky, S. V. Peletminskii, “Hamiltonian approach to the theory of antiferromagnetic systems”, Theoret. and Math. Phys., 95:1 (1993), 404–415
A. L. Kuzemsky, D. Marvakov, “Excitation spectrum of Heisenberg antiferromagnet at finite temperatures”, Theoret. and Math. Phys., 83:1 (1990), 441–448
V. I. Lymar', Yu. G. Rudoi, “Spectrum and correlation functions of an anisotropic heisenberg antiferromagnet. IV. Model of easy plane type with allowance for Dzyaloshinskii interaction”, Theoret. and Math. Phys., 34:2 (1978), 137–147
V. I. Lymar', Yu. G. Rudoi, “Spectrum and correlation functions of anisotropic Heisenberg antiferromagnet III spin-flop phase in the generalized Hartree–Fock approximation”, Theoret. and Math. Phys., 30:2 (1977), 159–168
Yu. G. Rudoi, Yu. A. Tserkovnikov, “One-particle green s function in the anisotropic Heisenberg model”, Theoret. and Math. Phys., 25:2 (1975), 1073–1084
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