  In this paper, the effect of B and N doping on the phonon induced thermal
conductivity of graphene has been investigated. This study is important when
one has to evaluate the usefulness of electronic properties of B and N doped
graphene. We have performed the calculations by employing density functional
perturbation theory(DFPT) to calculate the inter-atomic forces=force constants
of pristine/doped graphene. Thermal conductivity calculations have been carried
out by making use of linearized Boltzmann transport equations (LBTE) under
single-mode relaxation time approximation (RTA). The thermal conductivity of
pristine graphene has been found to be of the order of 4000W/mK at 100K, which
decreases gradually with an increase in temperature. The thermal conductivity
decreases drastically by 96 % to 190 W/mK when doped with 12.5 % B and reduces
by 99 % to 30 W/mK with 25 % B doping. When graphene is doped with N, the
thermal conductivity decreases to 4 W/mK and 55 W/mK for 12.5 % and 25 % doping
concentration, respectively. We have found that the thermal conductivity of
doped graphene show less sensitivity to change in temperature. It has also been
shown that the thermal conductivity of graphene can be tuned with doping and
has a strong dependence on doping concentration.
