Electron-phonon couplings and carrier mobility in graphynes sheet calculated using the Wannier-interpolation approach

Electron-phonon couplings and charge transport properties of α- and γ-graphyne nanosheets were investigated from first-principles calculations by using the density-functional perturbation theory and the Boltzmann transport equation. Wannier function-based interpolation techniques were applied to obtain the ultra-dense electron-phonon coupling matrix elements. Due to the localization feature in Wannier space, the interpolation based on truncated space is found to be accurate. We demonstrated that the intrinsic electron-phonon scatterings in these two-dimensional carbon materials are dominated by low-energy longitudinal-acoustic phonon scatterings over a wide range of temperatures. In contrast, the high-frequency optical phonons play appreciable roles only at high temperature regimes. The electron mobilities of α- and γ-graphynes are predicted to be ∼10⁴ cm² V⁻¹ s⁻¹ at room temperature.