CORRELATIONS IN COUPLED LAYERS OF ELECTRONS AND HOLES

We investigate interparticle correlations for two layers of charge-car rier liquid trapped in adjacent wells of a gallium arsenide heterostru cture. We determine in the absence of appreciable tunneling the static polarizability, the pair correlation functions, and the local-held co rrections both within a layer and between the layers. The Liquid groun d state has points of instability to states that are inhomogeneous in the density. An important result is that, in contrast with electron-el ectron layers, for electron-hole layers the interlayer correlations fa vor the formation of the inhomogeneous states. The pair correlation fu nctions display unusual behavior near the points of instability.