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We report electric polarization and magnetization measurements in singlecrystals of double perovskite Lu2MnCoO6 using pulsed magnetic fields andoptical second harmonic generation (SHG) in DC magnetic fields. we observewell-resolved magnetic field-induced changes in the electric polarization insingle crystals and thereby resolve the question about whether multiferroicbehavior is intrinsic to these materials or an extrinsic feature ofpolycrystals. We find electric polarization along the crystalline b-axis, thatis suppressed by applying a magnetic fields along c-axis and advance a modelfor the origin of magnetoelectric coupling. We furthermore map the phasediagram using both capacitance and electric polarization to identify regions ofordering and regions of magnetoelectric hysteresis. This compound is a rareexample of coupled hysteretic behavior in the magnetic and electric properties.The ferromagnetic-like magnetic hysteresis loop that couples to hystereticpolarization can be attributed not to ordinary ferromagnetic domains, but tothe rich physics of magnetic frustration of Ising-like spins in the axialnext-nearest neighbor interaction model.

Electric polarization observed in single crystals of multiferroic Lu2MnCoO6