The presence of exciton phonon interactions is shown to play a key role in the exciton superfluidity. We apply the Landau criterion for an exciton-phonon condensate moving uniformly at zero temperature. It turns out that there are essentially two critical velocities in the theory. Within the range of these velocities the condensate can exist only as a bright soliton. The excitation spectrum and...

In this review, we summarize recent progress on the possible phases of quantum chromodynamics (QCD) in presence a strong magnetic field, mainly from views chiral effective Nambu--Jona-Lasinio model. Four kinds phase transitions are explored detail: symmetry breaking and restoration, neutral pseudoscalar superfluidity, charged pion superfluidity rho superconductivity. particular, revisit unsolve...