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

Xavier Gonze, Changyol Lee

Research output: Contribution to journalArticlepeer-review

2198 Citations (Scopus)

Abstract

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 density-functional theory, we write the expressions for the diagonal or mixed second-order derivatives of the total energy with respect to these perturbations: dynamical matrices for different wave vectors, Born effective-charge tensors and electronic dielectric permittivity tensors. Interatomic force constants and the phonon-band structure are then obtained by computing the Fourier transform of dynamical matrices on a regular mesh of wave vectors, with an eventual, separate treatment of the long-range dipole-dipole interaction. The same ingredients also allow one to compute the low-frequency response of the crystal to homogeneous electric fields.

Original languageEnglish
Pages (from-to)10355-10368
Number of pages14
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume55
Issue number16
DOIs
Publication statusPublished - 1997
Externally publishedYes

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