Spin-Wave Interactions in a Heisenberg Ferromagnet

Marshall, W.; Murray, Galen

doi:10.1063/1.2163452

Cited by 21 publications

(2 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…He finds, however, that in iron the diminution of effective spin with temperature is more like 8). T h e topic has been amplified in short reviews by the present authors (Lowde 1965, Marshall andMurray 1968).…”

Section: E -I W T ( L -+ F ( 2 ) T 2 + and F ( 4 ) T 4 -mentioning

confidence: 81%

Magnetic correlations and neutron scattering

1968

View full text Add to dashboard Cite

An introduction is given to the methods and results of some recent researches into statistical thermodynamics bearing upon the correlation functions of magnetic moments in Heisenberg-coupled spin-only magnets, and their intimate connection with neutron-scattering theory and practice is brought out. T h e interrelationships between the correlation function, the relaxation function, the generalized susceptibility, the power spectrum of the fluctuations and the neutron scattering are explained, and it is shown that insights into any one of these aspects can serve to illuminate the others. Different forms of approximate theory are seen to be suitable in approaching the topic through these different avenues ; the method of moments for analysing the power spectrum and the connection with Green function theory are described in particular. Some examples are calculated in molecular-field theory and with various other simple approximations ; expressions for the frequency spectrum of the susceptibility are obtained in various temperature ranges. T h e extreme forms of the frequency spectrum in appropriate conditions as a set of delta functions, as a pseudo-Gaussian and as a pseudo-Lorentzian are derived, and the transitions between these cases are considered. The approximation of spin diffusion and its limitations are analysed; the problem of the dynamical slowing-down of magnetic fluctuations near the phase-transition point is examined and the current position in this enquiry is set out.

show abstract

Section: E -I W T ( L -+ F ( 2 ) T 2 + and F ( 4 ) T 4 -mentioning

confidence: 81%

Magnetic correlations and neutron scattering

1968

View full text Add to dashboard Cite

show abstract

“…Results similar to Eq. (30b) have been obtained by other theories of the Heisenberg model, 24,29,30,31 but one notes differences for a small range of small momenta q → 0. There, the linewidths of our formula (30b) turn out to be too large: Γ 2 q q→0 ∼ q 2 -other authors 29 propose at least a dependence Γ q q→0 ∼ q 2 .…”

Section: B Comparison To Experimental Data and Other Theoriesmentioning

confidence: 71%

Interacting spin waves in the ferromagnetic Kondo lattice model

Schwabe¹,

Nolting²,

Avella³

et al. 2010

AIP Conference Proceedings

View full text Add to dashboard Cite

We present an new approach for the ferromagnetic, three-dimensional, translational-symmetric Kondo lattice model which allows us to derive both magnon energies and linewidths (lifetimes) and to study the properties of the ferromagnetic phase at finite temperatures. Both "anomalous softening" and "anomalous damping" are obtained and discussed. Our method consists of mapping the Kondo lattice model onto an effective Heisenberg model by means of the "modified RKKY interaction" and the "interpolating self-energy approach". The Heisenberg model is approximatively solved by applying the Dyson-Maleev transformation and using the "spectral density approach" with a broadened magnon spectral density. PACS numbers: 75.30.Mb, 75.50.Pp, 75.30.Ds, 75.10.JmThe lattice sites can be ordered by any other pattern as well. Anyhow, for an isotropic magnetic system with Jij = Jij (|Ri − Rj |) it seems natural to require |R −R| = const for a shell. 41 We use the identity γq = γ−q that is valid for the cubic lattices.

show abstract

Single-particle Green's function in the anisotropic Heisenberg model II. Allowance for higher correlation functions

Rudoi¹,

Tserkovnikov²

1973

Theor Math Phys

View full text Add to dashboard Cite

Spin-Wave Interactions in a Heisenberg Ferromagnet

Cited by 21 publications

References 5 publications

Magnetic correlations and neutron scattering

Magnetic correlations and neutron scattering

Interacting spin waves in the ferromagnetic Kondo lattice model

Single-particle Green's function in the anisotropic Heisenberg model II. Allowance for higher correlation functions

Contact Info

Product

Resources

About