Superfluidity of a hydrogenlike gas in a strong magnetic field

Superfluidity is studied for a hydrogen gas and a hydrogenlike gas of excitons in a strong magnetic field, such that the distance between the Landau levels, e{}B/meffc, is greater than the Rydberg, meff{e}⁴$/2${{{}}}²$. The expression obtained for the energy spectrum demonstrates the existence of a phonon branch of the energy spectrum and the appearance of the superfluid state of the hydrogenlike gas at low temperature. The phase transition into the superfluid state is possible at gas number densities below a certain critical value (which changes with B). The Green's functions, the energy spectrum, and the critical temperature are calculated in a low-density approximation for the condensed state of such atoms in the strong magnetic field.