Bias field effect on the temperature anomalies of dielectric permittivity in PbMg1/3Nb2/3O3- PbTiO3 single crystals

In contrast to ordinary ferroelectrics where the temperature, Tm, of the permittivity maximum monotonically increases with bias field, E, in (1-x)PbMg1/3Nb2/3O3-(x)PbTiO3 (0<x<0.35) single crystals, Tm was found to remain constant or decrease with E up to a certain threshold field, Et, above which Tm starts increasing. Et decreases with x and almost disappears at about x=0.4. We explain this field dependence by the quenched random fields and coupling between the orientable dipoles with average polarization. For crystals with 0.06<x<0.13, the T-E phase diagrams are constructed, which include the relaxor, ferroelectric, glass and mixed ferroelectric-glass phases. The boundary between the ferroelectric and relaxor phases corresponds to a first-order phase transition and is characterized by thermal hysteresis with a large curvature of the line obtained in the field cooling mode, and by the presence of the end-point above which there is no difference between the ferroelectric and relaxor phases. The glass phase has a nearly field-independent boundary in the vicinity of the Vogel-Fulcher temperature TVF. The coupling between the glass order parameter and polarization changes the ferroelectric boundary at temperatures lower than TV