Chirality-dependent phonon-limited resistivity in multiple layers of graphene

We develop a theory for the temperature and density dependence of phonon-limited resistivity $\rho (T)$ in bilayer and multilayer graphene, and compare with the corresponding monolayer result. For the unscreened case, we find $\rho \approx CT$ with $C\propto v_{\mathrm{F}}^{-2}$ in the high-temperature limit, and $\rho \approx A{T}^4$ with $A\propto v_{\mathrm{F}}^{-2}{k}_{\mathrm{F}}^{-3}$ in the low-temperature Bloch-Gr"uneisen limit, where $v_{\mathrm{F}}$ and $k_{\rm F}$ are Fermi velocity and Fermi wavevector, respectively. If screening effects are taken into account, $\rho \approx CT$ in the high-temperature limit with a renormalized $C$ which is a function of the screening length, and $\rho \approx A T^6$inthelow-temperaturelimitwith$A \propto k_{\rm F}^{-5}$ but independent of $v_{\mathrm{F}}$. These relations hold in general with $v_{\mathrm{F}}$ and a chiral factor in $C$ determined by the specific chiral band structure for a given density.