Abstract

The analog of the Griffiths' phase with nonanalytic field dependence of polarization and nonexponential relaxation is shown to exist in dilute ferroelectric in spite of the presence of the long-range dipole-dipole interaction. The Griffiths' anomalies emerge as a consequence of condensation of the localized neutral band edge modes having the “Lifshitz tail” asymptotics of the density of states and the divergent localization length near the band edge same as in the short-range case. The relation of the present approach to the original Griffiths' one is discussed.

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