materials*

We have numerically calculated the dynamical polarization function, the plasmon dispersion relation and their lifetimes due to Landau damping for various types of the recently discovered α-T₃ lattices at finite temperature. We do so by choosing the hopping parameter 0 < α < 1. Both intrinsic and extrinsic cases with zero or finite Fermi energy and T = 0 have been addressed. We obtained analytic results for the plasmon dispersion relation in the long wavelength limit q → 0 for a dice lattice with α = 1.