Multiferroic behavior in Lu$_{2}$MnCoO$_{6}$

Lu$_{2}$MnCoO$_{6}$ is a new member of the multiferroics with coupling between net magnetization and net electric polarization. Similar to Ca$_{3}$MnCoO$_{6}$, an up-up-down-down order of the magnetic spins is found that breaks spatial-inversion symmetry and creates an electric polarization. Unlike Ca$_{3}$MnCoO$_{6}$, the Co and Mn ions are both in a S = 3/2 state, the ordering temperature is 42 K, and the magnetic field needed to suppress electric polarization is 2 T. We present an experimental study of the multiferroic properties and spin structure including neutron diffraction, electric polarization, magnetization, dielectric constant, and specific heat measurements.