Abstract
The electrical transport of $p$-type monolayer ${\mathrm{MoS}}_{2}$ from acoustic phonon scattering at low temperature ($Tl100$ K) is theoretically analyzed. The formalism of conductivity is systemically derived through the standard Green's functions technique (a full quantum-mechanical treatment) by taking into account the realistic band structure of ${\mathrm{MoS}}_{2}$. It is found that the main contribution to resistivity is from piezoelectric scattering in the transverse direction. Analogous to graphene, the conductivity exhibits a transition from $\ensuremath{\sigma}\ensuremath{\sim}{T}^{\ensuremath{-}4}$ temperature dependence in the Bloch-Gr\uneisen temperature regime to weaker $\ensuremath{\sigma}\ensuremath{\sim}{T}^{\ensuremath{-}1}$ dependence at high temperature. It is remarkable that we observe the derivation of Matthiessen's rule in the presence of both disorder scattering and phonon scattering due to the abrupt variation of phonon-induced transport scattering rates.
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