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We have investigated the ground state configurations of an equimolar, binarymixture of classical charged particles (with nominal charges $Q_1$ and $Q_2$)that condensate on a neutralizing plane. Using efficient Ewald summationtechniques for the calculation of the ground state energies, we have identifiedthe energetically most favourable ordered particle arrangements with the helpof a highly reliable optimization tool based on ideas of evolutionaryalgorithms. Over a large range of charge ratios, $q = Q_2 / Q_1$, we identifysix non-trivial ground states, some of which show a remarkable and unexpectedstructural complexity. For $0.59 \lesssim q < 1$ the system undergoes a phaseseparation where the two charge species populate in a hexagonal arrangementspatially separated areas.

Wigner crystals for a planar, equimolar binary mixture of classical, charged particles