  We present an infinite lattice DMRG sweeping procedure which can be used as a
replacement for the standard infinite lattice blocking schemes. Although the
scheme is generally applicable to any system, its main advantages are the
correct representation of commensurability issues and the treatment of
degenerate systems. As an example we apply the method to a spin chain featuring
a highly degenerate ground state space where the new sweeping scheme provides
an increase in performance as well as accuracy by many orders of magnitude
compared to a recently published work.
