Density of states and specific heat of three dimensional quasiperiodic lattices using real space renormalization group technique

In this paper we have introduced a new method based on real space renormalization group technique to find the density of states of three dimensional quasiperiodic lattices in the thermodynamic limit. The importance of this method lies in the fact that for three dimensional quasiperiodic lattices in this limit, no other technique is available in the literature for the density of states fill now. Finding the density of states, we have also studied the electronic specific heat of such lattices and revealed the nature of temperature dependence of the specific heat.