Dzyaloshinskii--Moriya interaction: How to measure its sign in weak ferromagnetics?
Vladimir E. Dmitrienko (1), Elena N. Ovchinnikova (2), Jun Kokubun, (3), Kohtaro Ishida (3) ((1) A.V.Shubnikov Institute of Crystallography,, Moscow, Russia, (2) Moscow State University, Moscow, Russia, (3) Faculty of, Science, Technology, Tokyo University of Science, Japan)

TL;DR
This paper reviews three experimental methods—neutron diffraction, Moessbauer gamma-ray diffraction, and resonant x-ray scattering—for determining the sign of the Dzyaloshinskii--Moriya interaction in weak ferromagnets, with detailed case studies.
Contribution
It compares and analyzes three experimental techniques for measuring the sign of the Dzyaloshinskii--Moriya interaction in weak ferromagnetic materials.
Findings
Neutron diffraction effectively determines the interaction sign.
Moessbauer gamma-ray diffraction provides complementary insights.
Resonant x-ray scattering offers a sensitive measurement approach.
Abstract
Three experimental techniques sensitive to the sign of the Dzyaloshinskii--Moriya interaction are discussed: neutron diffraction, Moessbauer gamma-ray diffraction, and resonant x-ray scattering. Classical examples of hematite (alpha-Fe2O3) and MnCO3 crystals are considered in detail
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