Finite-temperature plasmons in α-T₃ materials.

We calculated the polarization function and plasmon excitations for all types of α-T3 materials at various temperatures. We derived a semi-analytical expression for a wide range of temperatures (not extra low and extra high ones as it was done in all previous works graphene). Apart from the plasma frequencies, we calculated the damping rates for four different relative hopping parameters α and for various temperatures. We have also derived analytical expressions for the polarization function in the long-wave limit, as well as in the static limit for an α-T3 lattice. Our results significantly depend on α and, therefore, are very different from graphene.