We present a first-principles approach to compute the transport properties of 2D materials in an accurate and automated framework. We use density-functional perturbation theory in the appropriate bidimensional setup with open-boundary conditions in the third direction. The materials are charged by field-effect via the presence of planar counter-charges. In this approach, we obtain electron-phonon matrix elements in which dimensionality and doping effects are inherently accounted for, without the need for post-processing corrections. The framework shows some unexpected consequences, such as an increase of electron-phonon coupling with doping in transition-metal dichalcogenides. We use symmetries and define pockets of relevant electronic states to limit the number of phonons to compute; the integrodifferential Boltzmann transport equation is then linearized and solved beyond the relaxation-time approximation. We apply the entire protocol to a set of much studied materials with diverse electronic and vibrational band structures: electron-doped MoS 2 , WS 2 , WSe 2 , phosphorene and arsenene, and hole-doped phosphorene. Among these, hole-doped phosphorene is found to have the highest mobility, with a room temperature value around 600 cm$^2cdot$V$^{-1}cdot$s$^{-1}$. We identify the factors that affect most the phonon-limited mobilities, providing a broader understanding of the driving forces behind high-mobility in two-dimensional materials.

Published in: "arXiv Material Science".