The Magnetoelectric (ME) effect in solids is a prominent cross correlationphenomenon, in which the electric field (${\bm E}$) controls the magnetization(${\bm M}$) and the magnetic field (${\bm H}$) controls the electricpolarization (${\bm P}$). A rich variety of ME effects and their potential inpractical applications have been investigated so far within thetransition-metal compounds. Here, we report a possible way to realize the MEeffect in organic molecular solids, in which two molecules build a dimer unitaligned on a lattice site. The linear ME effect is predicted in a long-rangeordered state of spins and electric dipoles, as well as in a disordered state.One key of the ME effect is a hidden ferroic order of the spin-charge compositeobject. We provide a new guiding principle of the ME effect in materialswithout transition-metal elements, which may lead to flexible and lightweightmultifunctional materials.
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