Nanoscale magnetic phase competition throughout the N i50-x C ox M n40 S n10 phase diagram: Insights from small-angle neutron scattering

The Ni2MnSn-derived Ni50-xCoxMn25+ySn25-y alloys are premier examples of a class of off-stoichiometric Heusler alloys recently discovered to exhibit attractive magnetic properties in tandem with extraordinarily reversible martensitic phase transformations. Multiferroicity, magnetic phase competition and separation, field-induced martensitic transformations, magnetic shape memory behavior, and sizable magneto-, elasto-, and barocaloric effects result, generating substantial interest and application potential. In this work we expand on a prior small-angle neutron scattering (SANS) study at a single composition (Ni44Co6Mn40Sn10) by exploring all three main regions of the recently established Ni50-xCoxMn40Sn10 phase diagram, i.e., at the representative y=15 composition. Wide temperature and scattering wave-vector range (20-500K, 0.004-0.2Å-1) SANS data on x=2, 6, and 14 polycrystals provide a detailed picture of the evolution in magnetic order and inhomogeneity. Consistent with recent studies with a variety of techniques, phase separation into short-range coexisting ferromagnetic and antiferromagnetic regions is deduced below the martensitic transformation at x=2 and 6, with average ferromagnetic cluster spacing of ∼13 nm. Remarkably, at x=14, where the martensitic transformation is suppressed and ferromagnetic austenite is stabilized to low temperatures, nanoscopic magnetic inhomogeneity nevertheless persists. Distinct ferromagnetic clusters (∼36-nm average spacing) in a ferromagnetic matrix are observed at intermediate temperatures, homogenizing into a uniform long-range ordered ferromagnet only at low temperatures. This unusual ferromagnet cluster/ferromagnet matrix inhomogeneity, as well as x-dependent subtleties of the superparamagnetic freezing of ferromagnetic clusters, are discussed in light of Mn55 nuclear magnetic resonance data, and the recent observation of annealing-induced core/shell nanoprecipitates. The origins of nanoscale magnetic inhomogeneity are discussed in terms of statistical variations in local composition and structure, tendency to chemical phase separation, and other forms of disorder.