  We examine strain-induced quantized Landau levels in graphene. Specifically,
arc-bend strains are found to cause nonuniform pseudomagnetic fields. Using an
effective Dirac model which describes the low-energy physics around the nodal
points, we show that several of the key qualitative properties of graphene in a
strain-induced pseudomagnetic field are different compared to the case of an
externally applied physical magnetic field. We discuss how using different
strain strengths allows us to spatially separate the two components of the
pseudospinor on the different sublattices of graphene. These results are
checked against a tight-binding calculation on the graphene honeycomb lattice,
which is found to exhibit all the features described. Furthermore, we find that
introducing a Hubbard repulsion on the mean-field level induces a measurable
polarization difference between the A and the B sublattices, which provides an
independent experimental test of the theory presented here.
