Superfluidity of electron-hole pairs in randomly inhomogeneous bilayer systems

Electron-hole (e-h) pairs with spatially separated components in bilayer systems make a transition to a superfluid state with decreasing temperature. The article deals with the influence of random inhomogeneities on the superfluid properties of bilayer systems. It is shown that the ionized impurities and the curvature of the conducting layers decrease the superfluid current density of the e-h-pairs. If the interlayer distance is less than or of the order of magnetic length, the fluctuations of the interlayer distance considerably reduce the superfluid transition temperature.