Bose-Einstein condensation of magnetoexcitons in ideal two-dimensional system in a strong magnetic field

We present theoretical study of ideal two-dimensional electron-hole system in a strong magnetic field. The Bose- Einstein condensation of the correlated electron-hole pairs takes place in a single particle state with an arbitrary wave vector k in a symmetric two-dimensional model. We show that the ground state energy per one exciton and the chemical potential at low exciton damping rates are nonmonotonic functions versus the value of the filling factor, and they form metastable states of dielectric liquid phase with positive compressibility consisting of the Bose-Einstein condensate of magnetoexcitons and liquid drops. Since the dielectric liquid phase of the Bose-condensed magnetoexcitons with low damping rate corresponds to the relative minima of chemical potential, it is more stable than the electron-hole metallic liquid phase