Abstract:
The matrix Green function is studied which is constructed in terms of the Pauli
operators and describes the transversal component of the dynamic susceptibility tensor
of the anisotropic Heisenberg ferromagnet with spin 1/2 in the transversal and longitudinal
external magnetic field. Renormalised magnon spectrum is obtained in the generalised
Hartree–Fock approximation (with the damping not taken into account)
and phase boundary on the plane “magnetic field – temperature” is evaluated. It is
shown that the contribution of the integral term must be taken into account for the
fulfillment of the symmetry conditions and the Goldstone–Bogoliubov theorem in
the case of the “easy plane” model.
Citation:
Yu. G. Rudoi, Yu. A. Tserkovnikov, “One-particle green s function in the anisotropic Heisenberg model”, TMF, 25:2 (1975), 196–212; Theoret. and Math. Phys., 25:2 (1975), 1073–1084
This publication is cited in the following 12 articles:
O.A. Kotelnikova, V.N. Prudnikov, Yu.G. Rudoy, “Magnetocaloric effect (MCE): Microscopic approach within Tyablikov approximation for anisotropic ferromagnets”, Journal of Magnetism and Magnetic Materials, 383 (2015), 203
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
V. G. Borisenko, Yu. V. Pereverzev, “Theory of the phase diagram of a uniaxial magnet in a transverse magnetic field”, Soviet Journal of Low Temperature Physics, 10:9 (1984), 493
F. P. Onufrieva, “Single-particle Green's function of a ferromagnet with single-ion anisotropy in the presence of a magnetic field of arbitrary direction”, Theoret. and Math. Phys., 54:2 (1983), 196–205
A. A. Kazakov, “Green's function of a uniaxial ferromagnet with single-ion anisotropy and arbitrary spin in the canted phase”, Theoret. and Math. Phys., 46:3 (1981), 278–280
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
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
A. A. Kazakov, “Magnetization of a uniaxial ferromagnet with single-ion and exchange anisotropies in a transverse magnetic field”, Theoret. and Math. Phys., 30:3 (1977), 268–271
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
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