File Name : fig_si_1.eps

Caption : calculated electronic band structures with different slater-koster parametrizations.

File Name : fig_si_3.eps

Caption : (a) valence and (b) conduction bands graphyne (gy), with the analytical parabolic and kane bands.

File Name : fig_si_2.eps

Caption : calculated phonon band structures with different slater-koster parametrizations.

File Name : fig_si_4.eps

Caption : (a) valence and (b) conduction bands in graphdiyne (gdy), with the analytical parabolic and kane bands.

File Name : fig_si_5.eps

Caption : densities for (a) holes and (b) electrons graphyne (gy). effective mass $m$ and non-parabolicity parameter $\alpha$ values are annotated in the figure. conductivity values for (c) holes and (d) electrons.

File Name : fig_si_6.eps

Caption : densities for (a) holes and (b) electrons graphdiyne (gdy). effective mass $m$ and non-parabolicity parameter $\alpha$ values are annotated in the figure. conductivity values for (c) holes and (d) electrons.

File Name : fig_si_7.eps

Caption : the scattering rates (inverse life-times) for (a) the holes and (b) the electrons in monolayer graphyne (gy), as well as for the (c) holes and (d) electrons in monolayer graphdiyne (gdy). in this plot, scatterings were calculated at fixed temperature $t = 300$ k and fixed chemical potential  within serta. the chemical potentials were set to the band edge values.