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We study theoretically the structure and melting transition of two-dimensional (2D) binary mixtures of colloidal particles interacting via a dipole-dipole potential. Using a lattice sum method, we find that at zero temperature (T = 0) the system forms a rich variety of stable crystalline phases whose structure depends on the composition and dipole moment ratio. Using Monte Carlo (MC) simulations, we also find that the melting temperature of the different T = 0 structures is a very strong and non-monotonic function of composition. For example, from a direct analysis of the radial distribution function vs.temperature, we find that the melting temperature of hexagonal AB2 and AB6 phases is three orders of magnitude higher than that of hexagonal AB5. Finally the melting transition for our binary colloidal system is found to proceed via at least two stages for hexagonal AB2 and AB6 and at least three stages for hexagonal AB5 and is thus much richer compared to the melting transition of 2D one component colloidal systems.
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