We calculate the full phase diagram of spherical charged colloids using Monte Carlo free energy calculations. The system is described using the primitive model, consisting of explicit colloids and counterions in a uniform dielectric continuum. We show that the gas-liquid critical point becomes metastable with respect to a gas-solid phase separation at colloid charges Q>=20e. Figure shows the phase diagram for colloid charge Q=20e in the colloid packing fraction, reduced temperature representation. The phase diagram consists of a broad gas-solid phase coexistence at low temperatures, a narrow fluid-solid coexistence at high temperatures, and a metastable gas-liquid coexistence (whose critical point marked by the star). Employing approximate free energy calculations, we are able to determine the critical temperature Tc below which a broad gas-solid phase separation occurs for highly charged colloids up to Q=2000e and propose a scaling law Tc = Q^0.5. We therefore extend the knowledge of like-charge attraction from modestly charged micellar systems with charge Q < 100e to highly charged colloidal suspensions with Q=2000e.
