Electron localization: Band-by-band decomposition and application to oxides

M. Veithen, X. Gonze, Ph Ghosez

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


Using a plane-wave pseudopotential approach to density functional theory we investigate the electron localization length in various oxides. For this purpose, we first set up a theory of the band-by-band decomposition of this quantity, more complex than the decomposition of the spontaneous polarization (a related concept), because of the interband coupling. We show its interpretation in terms of Wannier functions and clarify the effect of the pseudopotential approximation. We treat the case of different oxides: BaO, α-PbO, BaTiO3, and PbTiO3. We also investigate the variation of the localization tensor during the ferroelectric phase transitions of BaTiO3 as well as its relationship with the Born effective charges.

Original languageEnglish
Article number235113
Pages (from-to)2351131-23511310
Number of pages21160180
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number23
Publication statusPublished - 15 Dec 2002
Externally publishedYes


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