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We propose the existence, via analytical derivations, novel phenomenologies,and first-principles-based simulations, of a new class of materials that arenot only spontaneously optically active, but also for which the sense ofrotation can be switched by an electric field applied to them-- via an inducedtransition between the dextrorotatory and laevorotatory forms. Such systemspossess electric vortices that are coupled to a spontaneous electricalpolarization. Furthermore, our atomistic simulations provide a deep microscopicinsight into, and understanding of, this class of naturally optically activematerials.

Natural optical activity and its control by electric field in electrotoroidic systems