  It is shown that usually used theoretical model for double layered
heterostructures as a pseudospin ferromagnet, does not give the observed two
dimensional spectrum. Its existence is possible only neglecting Coulomb
interaction destroying two dimensional structures and can be realized only in a
strong magnetic field. That is connected also with the plain vortex lattices
arising at strong magnetic field due to thermodynamic instability. This model
gives the reasonable explanations of various observed effects depending on the
filling of the corresponding bands.In particular in this work we show that in
double layered heterostructures can exist large inter layer conductance really
observed.
