Microfields Induced by Random Compensated Charge Pairs in Ferroelectric Materials

Abstract

The dc and microwave responses of the Ba(x)Sr(1-x)(X,Y)Ti(1-y)O3 family of ferroelectric compounds with various substitutional additives X(3+), Y(5+) are analyzed by combining the random-field technique with the mean-field (Landau-Devonshire) theory of ferroelectricity, along with a self consistent computation of the dielectric constant of the host material in the presence of the impurity fields. The fields in the material are assumed to arise from charge compensation at the Ti(4+) sites, leading to permanent dipoles made up of the resulting positive and negative ions separated by a few lattice constants. It is shown that whereas completely random placement of positive and negative ions generates a Holtsmark distribution of electric field, with infinite second moment and hence extremely large fluctuations in field strength, the association of ionized impurities into permanent dipoles leads to much lower fluctuations in field and a distribution with finite second moment, which makes a self-consistent dielectric constant meaningful.

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Document Details

Document Type
Technical Report
Publication Date
Apr 03, 2003
Accession Number
ADP013360

Entities

People

  • Arthur Tauber
  • Daniel M. Potrepka
  • Frank J. Crowne
  • Steven C. Tidrow

Organizations

  • United States Army Research Laboratory

Tags

DTIC Thesaurus Topics

  • Curie Temperature
  • Dielectric Permittivity
  • Displacement
  • Electric Fields
  • Electronics
  • Equations
  • Ferroelectric Materials
  • Free Energy
  • Impurities
  • Integrals
  • Materials
  • Mean Field Theory
  • Phase Transformations
  • Probability
  • Probability Distributions
  • Random Variables
  • Semiconductors

Fields of Study

  • Physics

Readers

  • Materials Science and Engineering.
  • Mathematical Modeling and Probability Theory.
  • Plasma Physics.