The electric field control of magnetism in the solid state has become a very active topic of research recently, made possible by the advances in the synthesis and fabrication of new materials and artificial heterostructures. Key strategies include structural manipulation through epitaxial growth to create single crystalline multiferroic materials with enhanced properties, and exploring proximity effects between magnetic and ferroelectric materials to create strong magnetoelectric couplings. The current state-of-the-art shows that tremendous progress has been achieved in this field and that functionalisation of this class of materials is within reach. Long-range ordering in condensed matter is at the origin of the many functional properties of materials that underpin science and technology. Hence, not surprisingly, a large fraction of the research effort to date has been devoted to discovering new states of matter and to enhancing the properties of ordered materials. One example is provided by the renewed interest in a special class of materials systems characterised by the simultaneous presence of magnetic and ferroelectric order, called magnetoelectric multiferroics. 1,2 These are systems that fulll both requirements for the presence of magnetism (break in time-reversal symmetry) and ferroelectricity (break in space-inversion symmetry), representing therefore a much smaller subset of the magnetic and ferroelectric systems. Examples of naturally occurring multiferroics include Fe 3 O 4 (magnetite) 3,4 and CuO (tenorite). 5 The motivation for studying multiferroic systems is twofold: at a basic science level, they provide model systems for the investigation of electron correlation effects and their role on the material properties, both at the experimental and theoretical levels. 6,7 From an applied physics perspective, the electrostatic control of magnetism and the direct magnetic generation of electromotive forces in the solid state have potential for the development of disruptive technologies, including novel electronic devices in which both charge and spin carry information (spintronics), non-volatile randomaccess memories, ultra-sensitive detectors and actuators, and solid state transformers. 8-10 A feature common to all intrinsic (single phase) multiferroics is the presence of strong electron correlations, which renders a full understanding of the microscopic mechanisms of magnetoelectric coupling challenging. 6,7 They can be divided into type Carlos A. F. Vaz graduated from Lisbon University and received his Ph.D. degree from Cambridge University. Aer a spell at Yale University as a Postdoctoral Associate, he joined the Paul Scherrer Institut, where he currently works as a staff scientist. His research interests include magnetism, spintronics, multiferroics, X-ray and electron spectroscopy, and epitaxial growth and characterization of multifunctional materials, with a focus on thin lms, heterostructures, and patterned elements of transition metal ferromagnets and complex oxides. Urs Staub received his Ph....