Berry phase approach to longitudinal dipole moments of infinite chains in electronic-structure methods with local basis sets

Konstantin N. Kudin, Roberto Car, Raffaele Resta

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

The authors provide a reformulation of the modern theory of polarization for one-dimensional stereoregular polymers, at the level of the single determinant Hartree-Fock and Kohn-Sham methods within a basis set of local orbitals. By starting with localization of one-electron orbitals, their approach naturally arrives to the Berry phases of Bloch orbitals. Then they describe a novel numerical algorithm for evaluation of longitudinal dipole moments, computationally more convenient than those presently implemented within the local basis periodic codes. This method is based on the straightforward evaluation of the usual direct space dipole matrix elements between local orbitals, as well as overlap matrices between wave functions at two neighboring k points of the reciprocal space mesh. The practical behavior of the algorithm and its convergence properties with respect to the k -point mesh density are illustrated in benchmark calculations for water chains and fluorinated trans-polyacetylene.

Original languageEnglish (US)
Article number234101
JournalJournal of Chemical Physics
Volume126
Issue number23
DOIs
StatePublished - Aug 2 2007

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

Fingerprint Dive into the research topics of 'Berry phase approach to longitudinal dipole moments of infinite chains in electronic-structure methods with local basis sets'. Together they form a unique fingerprint.

  • Cite this