  Recent experiments showed that non-uniform strain can be produced by
depositing graphene over pillars. We employed atomistic calculations to study
the non-uniform strain and the induced pseudo-magnetic field up to 5000 Tesla
in graphene on top of nano-pillars. By decreasing the distance between the
nano-pillars a complex distribution for the pseudo-magnetic field can be
generated. Furthermore, we performed tight-binding calculations of the local
density of states (LDOS) by using the relaxed graphene configuration obtained
from the atomistic calculations. We find that the quasiparticle LDOS are
strongly modified near the pillars, both at low energies showing sub-lattice
polarization, and at high energies showing shifts of the van Hove singularity.
Our study shows that changing the specific pattern of the nano-pillars allows
us to create a desired shape of the pseudo-magnetic field profile while the
LDOS maps provide an input for experimental verifications by scanning tunneling
microscopy.
