We construct a dyon solution for a Yang-Mills-Higgs theory in a 4 dimensional Schwarzschild-anti-de Sitter black hole background with temperature T. We then apply the AdS/CFT correspondence to describe the strong coupling regime of a 2 + 1 quantum field theory which undergoes a phase transition exhibiting the condensation of a composite charge operator below a critical temperature T c .Facultad de Ciencias Exactas