We develop an ab initio formalism for dipolar electron-phonon interactions (EPI) in two-dimensional (2D) materials. Unlike purely longitudinal Fr\"ohlich model, we show that the out-of-plane dipoles also contribute to the long-wavelength non-analytical behavior of EPI. And the 2D dipolar EPI plays an important role not only in the typical polar material MoS2, but also in graphane and fluorinated graphene. By incorporating this formalism into Wannier-Fourier interpolation, we enable accurate EPI calculations for 2D materials and subsequent intrinsic carrier mobility prediction. The results show that Fr\"ohlich model is inadequate for 2D materials and correct long-wavelength interaction must be included for the reliable prediction.
@article{arxiv.2010.02437,
title = {Ab initio dipolar electron-phonon interactions in two-dimensional materials},
author = {Tianqi Deng and Gang Wu and Wen Shi and Zicong Marvin Wong and Jian-Sheng Wang and Shuo-Wang Yang},
journal= {arXiv preprint arXiv:2010.02437},
year = {2021}
}