  We report on the self-assembly of inverse patchy colloids (IPC) using Monte
Carlo simulations in two-dimensions. The IPC model considered in this work
corresponds to either bipolar colloids or colloids decorated with complementary
DNA on their surfaces, where only patch and non-patch parts attract. The patch
coverage is found to be a dominant factor in deciding equilibrium
self-assembled structures. In particular, both regular square and triangular
crystals are found to be stable at 0.5 patch coverage. Upon decreasing the
patch coverage to 0.33, the regular square crystal is destablized; instead
rhombic and triangular crystals are found to be stable. At low patch coverages
such as 0.22 and 0.12, only triangular crystal is stabilized at high density.
Particles of all the patch coverages show kinetically stable cluster phases of
different shape and size, and the average cluster sizes are found to strongly
depend on the patch coverage and particle density. State-diagrams showing all
the stable phases for each patch coverage are presented. Ordered phases are
characterized by bond order parameters {\psi}4, {\psi}6 and radial distribution
function. The effect on patch coverage on polarization of the stable structures
are also studied. The study demonstrates that inverse patchy colloids are
potential candidates to form various ordered two-dimensional structures by
tuning the size of the patch.
