  We study structural phase transition of polymer-grafted colloidal particles
by Monte Carlo simulations on hard spherical particles. The interaction
potential, which has a weak repulsive step outside the hard core, was validated
with use of the self-consistent field calculations. With this potential,
canonical Monte Carlo simulations have been carried out in two and three
dimensions using the Metropolis algorithm. At low temperature and high density,
we find that the particles start to self-assemble and finally align in strings.
By analyzing the cluster size distribution and string length distribution, we
construct a phase diagram and find that this string-like assembly is related to
the percolation phenomena. The average string length diverges in the region
where the melting transition line and the percolation transition line cross,
which is similar to Ising spin systems where the percolation transition line
and the order-disorder line meet on the critical point.
