Accurate band structures and effective masses for InP, InAs, and InSb using hybrid functionals

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Abstract

The band structures of In X (X=P, As, and Sb) are calculated using the hybrid HSE06 functional and GW with spin-orbit coupling effects included up to second order. Conventional local or semilocal density functionals predict an incorrect band ordering for InAs and InSb when spin-orbit coupling is included. We show that inclusion of one quarter of the exact exchange allows us to predict very accurate band gaps for InP, InAs, and InSb, i.e., 1.48, 0.42, and 0.28 eV, respectively, in good agreement with recent experiments. Furthermore, calculated effective masses for the conduction band (electron) and the valence band (heavy-hole, light-hole, and split-off band) are in fairly good agreement, whereas the values obtained using semilocal functionals deviate significantly from experiment even for InP. The calculated Luttinger parameters are also in reasonable agreement with experiment, although a tendency toward underestimation is observed with increasing anion mass. This underestimation is shown to be partially related to a tendency to overestimate the band gaps for the heavier elements using the particular hybrid functional used in this study. By adjusting the screening parameter in the hybrid functional, agreement with the experimental band gap can be achieved, but even then the Luttinger parameters are 15% smaller than the experimental values for InAs and InSb.
Original languageEnglish
Article number035203
Number of pages9
JournalPhysical Review B
Volume80
Issue number3
DOIs
Publication statusPublished - 2009

Austrian Fields of Science 2012

  • 103009 Solid state physics
  • 103015 Condensed matter
  • 103025 Quantum mechanics
  • 103036 Theoretical physics

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