Exciton binding energy and heat capacity of gapped semi-Dirac materials 

We investigate theoretically and numerically the thermal and excitonic properties of tilted semi-Dirac (TSD) materials. These are characterized by quadratic energy dispersion in one momentum direction and linear dispersion in the perpendicular direction.  The energy  band gap employed in our calculations can be provided by a substrate or tensile strain.  We compute the specific heat of the TSD   material   varying   the band gap. We calculate the exciton binding energy and exciton energy of the TSD materials by exploiting well known results for the one-dimensional hydrogen atom.  These calculations were carried out with truncated Coulomb potentials. By varying the band gap for chosen model interactions, we  compare   the quantitative differences  between results for the exciton energy and exciton binding energy.