Structure factor of a relaxor ferroelectric

Guzmán-Verri, G. G.; Varma, C. M.

doi:10.1103/physrevb.91.144105

Cited by 11 publications

(11 citation statements)

References 52 publications

(78 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We now compare our results to previous theoretical works. When contrasted to uniaxial systems [37,38], we find that they share some similarities at the qualitative level such as the emergence of a RF state with an energy gap from the FE ground state and field-induced transitions that end at a critical point. The most significant difference appears in the correlation functions of polarization at short distances, where there is no partial screening of dipoles in the uniaxial case.…”

Section: Discussionmentioning

confidence: 77%

Random electric field instabilities of relaxor ferroelectrics

Arce-Gamboa

Guzmán-Verri

2017

npj Quant Mater

View full text Add to dashboard Cite

Relaxor ferroelectrics are complex oxide materials which are rather unique to study the effects of compositional disorder on phase transitions. Here, we study the effects of quenched cubic random electric fields on the lattice instabilities that lead to a ferroelectric transition and show that, within a microscopic model and a statistical mechanical solution, even weak compositional disorder can prohibit the development of long-range order and that a random field state with anisotropic and power-law correlations of polarization emerges from the combined effect of their characteristic dipole forces and their inherent charge disorder. We compare and reproduce several key experimental observations in the well-studied relaxor PbMg 1/3 Nb 2/3 O 3 -PbTiO 3 .

show abstract

Section: Discussionmentioning

confidence: 77%

Random electric field instabilities of relaxor ferroelectrics

Arce-Gamboa

Guzmán-Verri

2017

npj Quant Mater

View full text Add to dashboard Cite

show abstract

“…5) have been given by more realistic attempts to model relaxors [26,31], which consider mesoscopicity from the beginning. Another argument in favor of the primary importance of RFs is their linear coupling to the order parameter, which on principle should outrival the quadratic one of the RBs [65]. 6 Conclusions Early ideas of a glassy ground state of relaxor ferroelectrics [6][7][8] at the atomic level have finally enjoyed a revival at the mesoscale.…”

Section: Figurementioning

confidence: 99%

Relaxor ferroelectrics: Cluster glass ground state via random fields and random bonds

Kleemann

2014

Physica Status Solidi (b)

111

View full text Add to dashboard Cite

Quenched random fields (RFs) are well‐known to be a basic driving force of the relaxor behavior in disordered ferroelectrics containing either random charges as in PbMg1/3Nb2/3O3 or random cation vacancies as in SrxBa1−xNb2O6. They give rise to the formation of polar nanoregions in the paraelectric regime, which freeze into a nanodomain state at low temperatures thus precluding the ferroelectric phase transition. On the other hand, isovalent relaxors like bond‐disordered BaTi1−xZrxO3 prevalently experience random bonds (RBs), which are responsible for glassy features such as polydispersivity and non‐ergodic aging and rejuvenation processes. Inspection shows, however, that all of the above characteristics apply generally to relaxor systems albeit with different weight. Subsequent formation of ferroic nanoregions via RFs followed by mesoscopic cluster glassy freezing via RBs upon cooling are universal signatures.

show abstract

“…Ferroelectrics with diffuse phase transition (DPT) behavior and/or relaxor characteristics have been continuously investigated in the last decades due to their interesting electrical, mechanical, and structural properties, as well as the lack of complete explanations of the underlying physical mechanism . Different from normal ferroelectrics, DPT exhibits an extended phase transition over a broad temperature interval around the peak temperature T m , where the real part of the dielectric permittivity ε assumes its maximum value ε m .…”

Section: Introductionmentioning

confidence: 99%

Revisiting the temperature‐dependent dielectric permittivity of Ba(Ti_1−xZr_x)O₃

et al. 2018

View full text Add to dashboard Cite

It has been a challenge to provide a unified description of the dielectric response vs temperature for ferroelectrics with diffuse phase transition (DPT) and relaxor behaviors, which can be used to fit the dielectric response both below and above the peak temperature (Tm). Most of the available functions used in fitting experimental data only provide a description of the dielectric permittivity near and above Tm. In this work, employing a macroscopic and phenomenological statistical model and using Ba(Ti1−x Zrx)O3 ceramics as an example, we revisit the dielectric permittivity's temperature dependence, analyzing their DPT and relaxor behaviors and providing a complete description over the whole temperature range. We show that good agreements between theoretical and experimental results can be achieved. To better understand how Ba(Ti1−x Zrx)O3 ceramics changes from DPT to relaxor with increasing x, we also discuss the relation between the fitting parameters and Ba(Ti1−x Zrx)O3's composition and structure, which suggests that the parameters from the statistical model reflect the size of the correlated Ti ions (small clusters or polar nanoregions), which largely determine the behavior of Ba(Ti1−x Zrx)O3 ceramics.

show abstract

Structure factor of a relaxor ferroelectric

Cited by 11 publications

References 52 publications

Random electric field instabilities of relaxor ferroelectrics

Random electric field instabilities of relaxor ferroelectrics

Relaxor ferroelectrics: Cluster glass ground state via random fields and random bonds

Revisiting the temperature‐dependent dielectric permittivity of Ba(Ti_1−xZr_x)O₃

Contact Info

Product

Resources

About

Structure factor of a relaxor ferroelectric

Cited by 11 publications

References 52 publications

Random electric field instabilities of relaxor ferroelectrics

Random electric field instabilities of relaxor ferroelectrics

Relaxor ferroelectrics: Cluster glass ground state via random fields and random bonds

Revisiting the temperature‐dependent dielectric permittivity of Ba(Ti1−xZrx)O3

Contact Info

Product

Resources

About

Revisiting the temperature‐dependent dielectric permittivity of Ba(Ti_1−xZr_x)O₃