  In this review we focus on the effect of the Dirac nature of graphene
quasiparticles on two separate aspects. The first of these involves transport
across superconducting graphene junctions with barriers of thickness $d_0$ and
arbitrary gate voltages $V_0$ applied across the barrier region. The second
aspect involves study of the presence of localized magnetic impurities in
graphene and we show that Kondo effect in graphene is unconventional and can be
tuned by gate voltage. We also discuss scanning tunneling conductance spectra
phenomenon for both doped and undoped graphene. We show that the position of
the impurity on or in graphene plays a subtle role and affects the underlying
physics of STM spectra in doped graphene.
