Abstract
We have determined the magnetic structure of the field-induced phases of the multiferroic hexagonal manganite $\mathrm{Ho}\mathrm{Mn}{\mathrm{O}}_{3}$ by combining integrated intensity data, collected with unpolarized neutrons on a single crystal, with measurements of the polarization dependence of the intensities of the diffraction peaks from the same crystal. The present investigation shows that the magnetic structure of $\mathrm{Ho}\mathrm{Mn}{\mathrm{O}}_{3}$ changes, apparently nearly continuously, with increasing field from the zero field antiferromagnetic (AF1) phase $(P{6}_{3}^{\ensuremath{'}}c{m}^{\ensuremath{'}})$ to a ferromagnetic (F2) phase $(P{6}_{3}{c}^{\ensuremath{'}}{m}^{\ensuremath{'}})$ in which the triangular configuration of Mn moments in the (001) plane is maintained. There is also a significant variation with field in the ordered moments of Ho2 and Mn in the AF1 and F2 phases, respectively. We show that the structures of the field-induced phases cannot be determined completely from the integrated intensity measurements alone.
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