Phenomenology of Neutron Scattering in Heisenberg Systems
- 10 December 1968
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 176 (2), 650-654
- https://doi.org/10.1103/physrev.176.650
Abstract
The magnetic scattering of neutrons from Heisenberg systems is discussed within the rigorous framework of spectral representations for the longitudinal and transverse spectral weight functions, low-order moments of these functions, and their sum rules. The spectral weight functions are expressed as functionals of longitudinal and transverse diffusivities. This exact framework leads naturally to a two-parameter phenomenological description of the neutron-scattering cross section in Heisenberg ferromagnets. It is shown that replacing the diffusivities by two-parameter Gaussian functions, which satisfy the first two sum rules, gives the essential features for the neutron-scattering cross section in ferromagnets.Keywords
This publication has 7 references indexed in Scilit:
- Diffuse and Propagating Modes in the Heisenberg ParamagnetPhysical Review B, 1968
- Critical Behavior of Iron Above its Curie TemperaturePhysical Review Letters, 1968
- Inelastic Magnetic Scattering from RbMnF3 in the Neighborhood of its Néel PointJournal of Applied Physics, 1968
- Generalization of Scaling Laws to Dynamical Properties of a System Near its Critical PointPhysical Review Letters, 1967
- Behavior of the Heisenberg ferromagnet for temperatures near and above the transition pointAnnals of Physics, 1966
- Fluctuations d'aimantation et opalescence critiqueJournal of Physics and Chemistry of Solids, 1960
- Time-Dependent Correlations between Spins and Neutron Scattering in Ferromagnetic CrystalsPhysical Review B, 1954