Band widths and gaps from the Tran-Blaha functional: Comparison with many-body perturbation theory

David Waroquiers, Aurélien Lherbier, Anna Miglio, Martin Stankovski, Samuel Poncé, Micael J.T. Oliveira, Matteo Giantomassi, Gian Marco Rignanese, Xavier Gonze

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66 Citations (Scopus)


For a set of ten crystalline materials (oxides and semiconductors), we compute the electronic band structures using the Tran-Blaha (TB09) functional. The band widths and gaps are compared with those from the local-density approximation (LDA) functional, many-body perturbation theory (MBPT), and experiments. At the density-functional theory (DFT) level, TB09 leads to band gaps in much better agreement with experiments than LDA. However, we observe that it globally underestimates, often strongly, the valence (and conduction) band widths (more than LDA). MBPT corrections are calculated starting from both LDA and TB09 eigenenergies and wave functions. They lead to a much better agreement with experimental data for band widths. The band gaps obtained starting from TB09 are close to those from quasiparticle self-consistent GW calculations, at a much reduced cost. Finally, we explore the possibility to tune one of the semiempirical parameters of the TB09 functional in order to obtain simultaneously better band gaps and widths. We find that these requirements are conflicting.

Original languageEnglish
Article number075121
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number7
Publication statusPublished - 15 Feb 2013
Externally publishedYes


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