The energy competition of the reentrant integer quantum Hall state and the superfluid Bose Einstein condensate of indirect excitons in twin 2D Hall systems separated by an insulating barrier and with complementary layer fillings, ##IMG## [http://ej.iop.org/images/0295-5075/123/1/16001/epl19212ieqn1.gif] {$nu_{textit{bot}}+nu_{textit{top}}=1$} , has been analysed and compared with experimental observations in GaAs/GaAlAs/GaAs and bilayer-graphene/hBN/bilayer-graphene in the so-called counterflow and drag configurations. The related phase diagrams for varying fillings of layers and barrier thickness have been determined. A modification of the phase transition diagrams due to a change of the drag to the counterflow configuration is illustrated in agreement with the observations. The presented model appears to be consistent with the experimental observations.

Published in: "EPL".