We include the treatment of quadrupolar fields beyond the Fr\"ohlich interaction in the first-principles electron-phonon vertex in semiconductors. Such quadrupolar fields induce long-range interactions that have to be taken into account for accurate physical results. We apply our formalism to Si (nonpolar), GaAs, and GaP (polar) and demonstrate that electron mobilities show large errors if dynamical quadrupoles are not properly treated.
@article{arxiv.2002.00628,
title = {Electron-Phonon Beyond Fr\"ohlich: Dynamical Quadrupoles in Polar and Covalent Solids},
author = {Guillaume Brunin and Henrique Pereira Coutada Miranda and Matteo Giantomassi and Miquel Royo and Massimiliano Stengel and Matthieu J. Verstraete and Xavier Gonze and Gian-Marco Rignanese and Geoffroy Hautier},
journal= {arXiv preprint arXiv:2002.00628},
year = {2020}
}