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The consideration of oxygen vacancies influence on the relaxors withperovskite structure was considered in the framework ofLandau-Ginzburg-Devonshire phenomenological theory. The theory applicabilityfor relaxors is based on the existence of some hidden soft phonon polar mode inthem, and its frequency could be zero at some negative temperature TC*. Mainattention was paid to PZN-PLZT relaxor described by formula0.3Pb(Zn1/3Nb2/3)O3-0.7(Pb0.96La0.04(ZrxTi1-x)0.99O3) with x = 0.52, whereearlier experimental investigation of oxygen vacancies influence on the polarproperties was performed and the evidence of oxygen vacancies inducedferroelectricity was obtained. Since the oxygen vacancies are known to beelastic dipoles, they influence upon elastic and electric fields due to Vegardand flexoelectric coupling. We include the vacancies elastic andelectrostrictive contribution into free energy functional. The calculations ofthe vacancies impact on polar properties were performed using theirconcentration distribution function. It was shown that the negative Curietemperature of a relaxor TC* is renormalized by the elastic dipoles due to theelectrostrictive coupling and can become positive at some large enoughconcentration of the vacancies. We calculated the local polarization andelectric field induced by the flexo-chemical coupling in dependence on theconcentration of oxygen vacancies. The coexistence of FE phase and relaxorstate can take place because of inhomogeneity of vacancies concentrationdistribution.

Oxygen vacancies induced ferroelectricity in relaxors with ABO3 structure