  Here we show the connection between topological order and the geometric
entanglement, as measured by the logarithm of the overlap between a given state
and its closest product state of blocks, for the topological universality class
of the toric code model. As happens for the entanglement entropy, we find that
for large block sizes the geometric entanglement is, up to possible subleading
corrections, the sum of two contributions: a non-universal bulk contribution
obeying a boundary law times the number of blocks, and a universal contribution
quantifying the underlying pattern of long-range entanglement of a
topologically-ordered state.
