Dynamical matrices, Born effective charges, dielectric permittivity tensors, and interatomic force constants from density-functional perturbation theory

X Gonze, C Lee - Physical Review B, 1997 - APS
Starting from the knowledge of first-order changes of wave functions and density with
respect to small atomic displacements or infinitesimal homogeneous electric fields within the …

Phonons and related crystal properties from density-functional perturbation theory

S Baroni, S De Gironcoli, A Dal Corso… - Reviews of modern Physics, 2001 - APS
This article reviews the current status of lattice-dynamical calculations in crystals, using
density-functional perturbation theory, with emphasis on the plane-wave pseudopotential …

Density-functional approach to nonlinear-response coefficients of solids

X Gonze, JP Vigneron - Physical Review B, 1989 - APS
We propose a general scheme, within the density-functional theory, for an accurate
computation of a large class of nonlinear-response coefficients of solids. The scheme is …

First-principles responses of solids to atomic displacements and homogeneous electric fields: Implementation of a conjugate-gradient algorithm

X Gonze - Physical Review B, 1997 - APS
The changes in density, wave functions, and self-consistent potentials of solids, in response
to small atomic displacements or infinitesimal homogeneous electric fields, are considered …

Efficient real-space approach to time-dependent density functional theory for the dielectric response of nonmetallic crystals

F Kootstra, PL de Boeij, JG Snijders - The Journal of Chemical Physics, 2000 - pubs.aip.org
Time-dependent density functional theory has been used to calculate the static and
frequency-dependent dielectric function ε (ω) of nonmetallic crystals. We show that a real …

Metric tensor formulation of strain in density-functional perturbation theory

DR Hamann, X Wu, KM Rabe, D Vanderbilt - Physical Review B—Condensed …, 2005 - APS
The direct calculation of the elastic and piezoelectric tensors of solids can be accomplished
by treating homogeneous strain within the framework of density-functional perturbation …

Systematic treatment of displacements, strains, and electric fields in density-functional perturbation theory

X Wu, D Vanderbilt, DR Hamann - Physical Review B—Condensed Matter and …, 2005 - APS
The methods of density-functional perturbation theory may be used to calculate various
physical response properties of insulating crystals including elastic, dielectric, Born charge …

Density-functional theory of the dielectric constant: Gradient-corrected calculation for silicon

A Dal Corso, S Baroni, R Resta - Physical Review B, 1994 - APS
We study the screening of a macroscopic electric field in a crystalline dielectric. Density-
functional perturbation theory provides the static dielectric constant (or tensor) as a bulk …

Application of time-dependent density-functional theory to the dielectric function of various nonmetallic crystals

F Kootstra, PL De Boeij, JG Snijders - Physical Review B, 2000 - APS
The dielectric function of a range of nonmetallic crystals of various lattice types is studied by
means of a real-space and full-potential time-dependent density-functional method within …

Nonlinear optical susceptibilities, Raman efficiencies, and electro-optic tensors from first-principles density functional perturbation theory

M Veithen, X Gonze, P Ghosez - Physical Review B—Condensed Matter and …, 2005 - APS
The nonlinear response of infinite periodic solids to homogenous electric fields and
collective atomic displacements is discussed in the framework of density functional …