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In the review we briefly analyze the state-of-art in the theory offlexoelectric phenomena and analyze how significantly the flexoelectriccoupling can change the polar order parameter distribution in differentferroics and liquid crystals. The special attention in paid to the appearanceof the spatially modulated phases induced by the flexocoupling in condensed andsoft matter. Results of theoretical modeling performed in the framework of theLandau-Ginzburg-Devonshire formalism revealed that the general feature,inherent to both ferroics and liquid crystals, is the appearance of thespatially-modulated phases is taking place with increasing of the flexocouplingstrength. We'd like to underline that theoretical and experimental study offlexoelectricity and related phenomena in nanosized and bulk ferroics, liquidcrystals and related materials are very important for their advancedapplications in nanoelectronics, memory devices and LC displays.

Flexoelectricity induced spatially modulated phases in ferroics and liquid crystals (Author review)