Coulomb coupling between spatially separated electron and hole layers: Generalized random-phase approximation

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Abstract
Coulomb coupling between spatially separated quasi-two-dimensional electron and hole gases is studied as a function of temperature and/or electron (hole) gas density. Because of the exclusion principle mainly electrons and holes of antiparallel spin screen the electron-hole interaction at low densities. The coupling is described by a generalized random-phase approximation which takes into account exchange processes to all orders of the Hartree-Fock potential. The temperature dependence of the transimpedance agrees very well with experiment for relatively high densities; its density dependence agrees well for high densities and reasonably well for low and intermediate densities.