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- W2136186046 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 $E(mathbf{R},ensuremath{eta},mathcal{E})$ and $F(mathbf{R},ensuremath{eta},mathbf{P}),$ whose minimization with respect to the internal structural parameters $mathbf{R}$ and unit cell strain $ensuremath{eta}$ yields the equilibrium structure at fixed electric field $mathcal{E}$ and polarization $mathbf{P},$ respectively. First-order expansion of $E(mathbf{R},ensuremath{eta},mathcal{E})$ in $mathcal{E}$ leads to a useful approximation in which $mathbf{R}(mathbf{P})$ and $ensuremath{eta}(mathbf{P})$ 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 $mathbf{P}.$ 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 ${mathrm{BaTiO}}_{3}$ and ${mathrm{PbTiO}}_{3}.$ 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." @default.
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- W2136186046 date "2002-09-30" @default.
- W2136186046 modified "2023-10-12" @default.
- W2136186046 title "Theory of structural response to macroscopic electric fields in ferroelectric systems" @default.
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- W2136186046 doi "https://doi.org/10.1103/physrevb.66.104108" @default.
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