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We present an element selective resonant magnetic x-ray scattering study ofNdFe3(BO3)4 as a function of temperature and applied magnetic field. Ourmeasurements show that the magnetic order of the Nd sublattice is induced bythe Fe spin order. When a magnetic field is applied parallel to the hexagonalbasal plane, the helicoidal spin order is suppressed and a collinear ordering,where the moments are forced to align in a direction perpendicular to theapplied magnetic field, is stabilized. This result excludes a non-collinearspin order as the origin of the magnetically induced electric polarization inthis compound. Instead our data imply that magnetic frustration results in aphase competition, which is the origin of the magneto-electric response.

Magnetic frustration, phase competition and the magneto-electric effect in NdFe3(BO3)4