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We propose the Bose-Einstein condensation (BEC) and superfluidity ofquasi-two-dimensional (2D) spatially indirect magnetobiexcitons in a slab ofsuperlattice with alternating electron and hole layers consisting from thesemiconducting quantum wells (QWs) and graphene superlattice in high magneticfield. The two different Hamiltonians of a dilute gas of magnetoexcitons with adipole-dipole repulsion in superlattices consisting of both QWs and graphenelayers in the limit of high magnetic field have been reduced to one effectiveHamiltonian a dilute gas of two-dimensional excitons without magnetic field.Moreover, for $N$ excitons we have reduced the problem of $2N\times 2$dimensional space onto the problem of $N\times 2$ dimensional space byintegrating over the coordinates of the relative motion of an electron (e) anda hole (h). The instability of the ground state of the system of interactingtwo-dimensional indirect magnetoexcitons in a slab of superlattice withalternating electron and hole layers in high magnetic field is established. Thestable system of indirect quasi-two-dimensional magnetobiexcitons, consistingof pair of indirect excitons with opposite dipole moments is considered. Thedensity of superfluid component $n_{s}(T)$ and the temperature of theKosterlitz-Thouless phase transition to the superfluid state in the system oftwo-dimensional indirect magnetobiexcitons, interacting as electricalquadrupoles, are obtained for both QW and graphene realizations.

Bose-Einstein condensation and superfluidity of magnetobiexcitons in quantum wells' and graphene superlattices