Phonon-limited carrier mobility in monolayer black phosphorus

Abstract

We calculate an electron-phonon scattering and intrinsic transport properties of black phosphorus monolayer using tight-binding and Boltzmann treatments as a function of temperature, carrier density, and electric field. The low-field mobility shows weak dependence on density and, at room temperature, falls in the range of 300--1000 ${\mathrm{cm}}^{2}$/Vs in the armchair direction and 50--$120{\mathrm{cm}}^{2}$/Vs in the zigzag direction with an anisotropy due to the effective mass difference. At high fields, drift velocity is linear with field up to 1--2 V/$\ensuremath{\mu}\mathrm{m}$ reaching values of ${10}^{7}$ cm/s in the armchair direction, unless self-heating effects are included.