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This paper investigates the effect of correlations in electronic bilayers onthe longitudinal collective mode structure. We employ the dielectricpermeability constructed by means of the classical theory of moments. It isshown that the neglection of damping processes overestimates the role ofcorrelations. We conclude that the correct account of damping processes leadsto an absence of an energy gap.Comment: 4 page

Effect of correlations on the energy gap in electronic bilayers: Critical analysis of different approaches