Theory of magnetic small-angle neutron scattering of two-phase ferromagnets

TL;DR

This paper develops an analytical micromagnetic model for magnetic small-angle neutron scattering in two-phase ferromagnets, explaining observed anisotropies and enabling extraction of magnetic interaction parameters.

Contribution

It introduces a new analytical approach valid near magnetic saturation, linking SANS features to magnetic anisotropy, magnetostatic fields, and interaction parameters in two-phase ferromagnets.

Findings

Explains the 'clover-leaf' anisotropy in SANS patterns.

Provides a method to determine exchange-stiffness constants.

Shows the ratio of anisotropy field to magnetization jump influences spin correlations.

Abstract

Based on micromagnetic theory we have derived analytical expressions for the magnetic small-angle neutron scattering (SANS) cross section of a two-phase particle-matrix-type ferromagnet. The approach---valid close to magnetic saturation---provides access to several features of the spin structure such as perturbing magnetic anisotropy and magnetostatic fields. Depending on the applied magnetic field and on the magnitude $H_p$ of the magnetic anisotropy field relative to the magnitude $\Delta M$ of the jump in the longitudinal magnetization at the particle-matrix interface, we observe a variety of angular anisotropies in the magnetic SANS cross section. In particular, the model explains the "clover-leaf"-shaped angular anisotropy which was previously observed for several nanostructured magnetic materials, and it provides access to the magnetic interaction parameters such as the average exchange-stiffness constant. It is also shown that the ratio $H_p / \Delta M$ decisively determines the asymptotic power-law exponent and the range of spin-misalignment correlations.