Abstract:
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.
Citation:
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”, TMF, 19:2 (1974), 252–268; Theoret. and Math. Phys., 19:2 (1974), 491–503
This publication is cited in the following 13 articles:
Joren Vanherck, Bart Sorée, Wim Magnus, “Anisotropic bulk and planar Heisenberg ferromagnets in uniform, arbitrarily oriented magnetic fields”, J. Phys.: Condens. Matter, 30:27 (2018), 275801
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
Daisuke Yamamoto, Synge Todo, Susumu Kurihara, “Green's function theory for spin-12ferromagnets with an easy-plane exchange anisotropy”, Phys. Rev. B, 78:2 (2008)
V. V. Val'kov, “Unitary transformations of the group U(N) and diagonalization of multilevel Hamiltonians”, Theoret. and Math. Phys., 76:1 (1988), 766–772
M.I. KAGANOV, A.V. CHUBUKOV, Modern Problems in Condensed Matter Sciences, 22, Spin Waves and Magnetic Excitations, 1988, 1
V. V. Val'kov, S. G. Ovchinnikov, “Hubbard operators and spin-wave theory of Heisenberg magnets with arbitrary spin”, Theoret. and Math. Phys., 50:3 (1982), 306–313
Yu. G. Rudoi, “Tensor of the inhomogeneous dynamic susceptibility of an anisotropic Heisenberg ferromagnet and Bogolyubov inequalities. I. Single-particle matrix Green's function and transverse components of the susceptibility tensor”, Theoret. and Math. Phys., 38:1 (1979), 68–78
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
E. V. Kuz'min, S. G. Ovchinnikov, “Electron correlations in a Hubbard antiferromagnetic semiconductor. Weak coupling”, Theoret. and Math. Phys., 31:3 (1977), 523–531
R. R. Nigmatullin, “Exact structure of equations for the longitudinal correlation function in the anisotropic Heisenberg ferromagnet”, Theoret. and Math. Phys., 28:3 (1976), 869–877
V. I. Lymar', Yu. G. Rudoi, “Spectrum and correlation functions of an anisotropic heisenberg antiferromagnet. II. Paramagnetic phase in the generalized Hartree–Fock approximation”, Theoret. and Math. Phys., 24:3 (1975), 912–917
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
V. I. Lymar', Yu. G. Rudoi, “Spectrum and correlation functions of an anisotropic Heisenberg antiferromagnet
I. Antiferromagnetic phase in the generalized Hartree-Fock approximation”, Theoret. and Math. Phys., 21:1 (1974), 990–1002
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