Density of States of Twisted Bilayer Graphene at Low Energy

We report the calculation of the Density of States
(DOS) in Twisted Bilayer Graphene (TBG) system for low energy
range near Fermi level using commensurate rotation of 1.16

and 3.48
0
. We obtain a logarithmic behaviour of DOS showing that
van Hove Singularities (VHS) are occurred in this system and its
position depends on twisted angle. This behaviour coming from the
saddle points (SP) of band dispersion of TBG. The position of
VHS will move away from Fermi level along with the increase of
twisted angle. This result can be used to calculate others physical
quantities such as optical conductivity or critical temperature of
superconductivity that may occur in TBG.