An accurate mapping of quantum Heisenberg magnetic models of spin s to strong-coupling magnon systems

  title={An accurate mapping of quantum Heisenberg magnetic models of spin s to strong-coupling magnon systems},
  author={Banggui Liu and Gerd Czycholl},
  journal={Journal of Physics: Condensed Matter},
An infinite-U term is introduced into the Holstein - Primakoff-transformed magnon Hamiltonian of quantum Heisenberg magnetic models of spin s. This term removes the unphysical spin-wave states at every site, and automatically truncates the expansion in powers of the magnon occupation operator. The resultant strong-coupling magnon Hamiltonians are accurately equivalent to the original spin Hamiltonians. The on-site U-levels and their implications are studied. Within a simple decoupling… 
3 Citations
A Green's function model for ferromagnetism and spin excitations of (Ga, Mn)As diluted magnetic semiconductors
We study (Ga, Mn)As diluted magnetic semiconductors in terms of the Ruderman–Kittel–Kasuya–Yosida quantum spin model in Green's function approach. Random distributions of the magnetic atoms are


A nonlinear spin-wave theory of quasi-2D quantum Heisenberg antiferromagnets
Based on the Hartree-Fock approximation the author proposes a nonlinear spin-wave theory of anisotropic 3D (or quasi-2D) quantum Heisenberg antiferromagnets, which reduces to the known spin-wave
The Spin-Wave Theory of Antiferromagnetics
The spin-wave theory of antiferromagnets, recently studied by Anderson for the absolute zero of temperature, is examined here for finite temperatures to derive the thermodynamic properties of
Spin Waves in Quantum Antiferromagnets
Using a self-consistent mean-field theory for the S = 1/2 Heisenberg antiferromagnet, Kruger and Schuck recently derived an analytic expression for the dispersion. It is exact in one dimension (d =
Spin excitations and sum rules in the Heisenberg antiferromagnet.
  • Stringari
  • Physics
    Physical review. B, Condensed matter
  • 1994
It is shown that the Feynman approximation significantly overestimates the spin velocity due to the non-negligible contribution of multiple magnons to the energy-weighted sum rule.
Equivalence between Spin Waves and Lattice Bosons with Applications to the Heisenberg Model
Abstract An equivalence theorem is proved between a spin wave system and its corresponding lattice boson system. We then apply the theorem to the anisotropic Heisenberg model in a magnetic field, but
On an Analytic Expression for the One-Magnon Dispersion Relation in a Heisenberg Antiferromagnet
Using the Dyson-equation approach to spin-spin correlation functions we derive self-consistent mean-field equations for the antiferromagnetic spin-(1/2) Heisenberg model. An analytic expression for
Ground-state and low-lying excitations of the Heisenberg antiferromagnet.
  • Carlson
  • Physics
    Physical review. B, Condensed matter
  • 1989
Numerical results demonstrate convincingly the lack of a gap for infinite systems, and that the gap for finite systems scales with the inverse volume of the lattice.
Spin-correlation functions in the paramagnetic phase of a Heisenberg ferromagnet
A method previously presented for the approximate calculation of the time-dependent spin correlations at high temperatures is generalized to apply throughout the paramagnetic phase. It yields static
General Theory of Spin-Wave Interactions
An ideal model of a ferromagnet is studied, consisting of a lattice of identical spins with cubic symmetry and with isotropic exchange coupling between nearest neighbors. The aim is to obtain a
Bose-operator expansions of tensor operators in the theory of magnetism
For pt.I see ibid., vol.7, p.1523 (1974). The matching of matrix element method is used to find a new self-consistent Bose operator expansion for tensor operators in spin systems with isotropic