Acoustic deformation potentials of n -type PbTe from first principles

We calculate the uniaxial and dilatation acoustic deformation potentials ΞuL and ΞdL of the conduction band L valleys of PbTe from first principles, using the local density approximation (LDA) and hybrid functional (HSE03) exchange-correlation functionals. We find that the choice of a functional does not substantially affect the effective band masses and deformation potentials as long as a physically correct representation of the conduction band states near the band gap has been obtained. Fitting of the electron-phonon matrix elements obtained in density functional perturbation theory (DFPT) with the LDA excluding spin-orbit interaction (SOI) gives ΞuL=7.0 eV and ΞdL=0.4 eV. Computing the relative shifts of the L valleys induced by strain with the HSE03 functional including SOI gives ΞuL=5.5 eV and ΞdL=0.8 eV, in good agreement with the DFPT values. Our calculated values of ΞuL agree fairly well with experiment (∼3-4.5 eV). The computed values of ΞdL are substantially smaller than those obtained by fitting electronic transport measurements (∼17-22 eV), indicating that intravalley acoustic phonon scattering in PbTe is much weaker than previously thought.