Theory of structural response to macroscopic electric fields in ferroelectric systems

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Abstract

We have developed and implemented a formalism for computing the structural response of a periodic insulating system to a homogeneous static electric field within density-functional perturbation theory (DFPT). We consider the thermodynamic potentials E(R, η,ε) and F(R, η,P), whose minimization with respect to the internal structural parameters R and unit cell strain 77 yields the equilibrium structure at fixed electric field ε and polarization P, respectively. First-order expansion of E(R, η,ε) in S leads to a useful approximation in which R(P) and η(P) can be obtained by simply minimizing the zero-field internal energy with respect to structural coordinates subject to the constraint of a fixed spontaneous polarization P. To facilitate this minimization, we formulate a modified DFPT scheme such that the computed derivatives of the polarization are consistent with the discretized form of the Berry-phase expression. We then describe the application of this approach to several problems associated with bulk and short-period superlattice structures of ferroelectric materials such as BaTiO3 and PbTiO3. These include the effects of compositionally broken inversion symmetry, the equilibrium structure for high values of polarization, field-induced structural phase transitions, and the lattice contributions to the linear and the nonlinear dielectric constants.

Original languageEnglish (US)
Article number104108
Pages (from-to)1041081-10410817
Number of pages9369737
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume66
Issue number10
DOIs
StatePublished - Sep 1 2002

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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