Exploring metamagnetism of single crystalline eun\ by neutron scattering

We present here a neutron diffraction study, both in zero field and as a function of magnetic field, of the magnetic structure of the tetragonal intermetallic \eun\ on a single crystalline sample. This material is known to undergo a cascade of transitions, first at 13.2\,K towards an incommensurate modulated magnetic structure, then at 10.5\,K to an equal moment, yet undetermined, antiferromagnetic structure. We show here that the low temperature phase presents a spiral moment arrangement with wave-vector {\bf k} = ($\frac{1}{4},\delta,0)$. For a magnetic field applied along the tetragonal {\bf c}-axis, the square root of the scattering intensity of a chosen reflection matches very well the complex metamagnetic behavior of the magnetization along {\bf c} measured previously. For the magnetic field applied along the {\bf b}-axis, two magnetic transitions are observed below the transition to a fully polarized state.