A theoretical model is presented for the phonon limited mobility of the Dirac-Fermion gas in a three-dimensional (3D) Dirac semimetal Cd3As2 considering scattering from both the acoustic and the optical phonons. Screening effects are taken into account and it is found that they lead to a significant enhancement of the mobility. Simple analytical equations and power laws are obtained in both the Bloch-Gruneisen and equipartition regimes. The dependence of mobility on the temperature T and the electron density ne is investigated. It is found that optical phonon limited mobility μop dominates over the acoustic phonon limited mobility μap in the higher temperature region. There is a crossover of μap and μop and the crossover temperature Tc shifts to higher value with increasing ne. Our calculations of the mobility are in good agreement with the recent experimental data. Comparison is also made with the results in the conventional 3D electron gas in a degenerate semiconductor.
@article{arxiv.1907.13165,
title = {Phonon limited mobility of the Dirac-Fermions in a three-dimensional Dirac semimetal Cd$_3$As$_2$},
author = {S S Kubakaddi},
journal= {arXiv preprint arXiv:1907.13165},
year = {2019}
}