  We take a wide-angle view of the problem of monolayer graphene where the
valley-mixing and the spin-degeneracy lifting are assumed to be possible by
wedging in the requisite ingredients, viz. the atomically sharp scatterers and
the strong Rashba coupling dominating over the intrinsic spin-orbit coupling.
This leads to eight Majorana-like modes (quasi-particles which are
self-conjugate) close to the experimentally inaccessible Dirac points. Using
Kubo formula we also show that the semi-classical diffusive (longitudinal)
conductivity is nearly (2.018 e2/h) at room temperature for the disordered
system. Though this is an overestimation, we have been, never-the-less, able to
qualitatively capture the fact that the room temperature conductivity of
graphene is finite and the contribution to the conductivity arises from the
momentum very close to the Dirac points.
