Besides providing a comprehensive review on magnetically induced ferroelectricity, this work focuses on answering the key questions regarding correlated order parameters and associated domain structures in magnetically induced ferroelectrics. Optical second harmonic generation is applied to analyze the evolution of the symmetry breaking order parameters in the model systems MnWO4 and TbMn2O5. The nature and spatial distribution of domains are studied including correlation effects, their manipulation by thermal annealing procedures, as well as their control by external magnetic or electric fields.
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