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We present a theoretical study on polaritons in highly doped semiconductormicrocavities. In particular, we focus on a cavity mode that is resonant withthe absorption threshold (`Fermi edge'). In agreement with experimentalresults, the strong light-matter coupling is maintained under very high dopingwithin our ladder diagram approximation. While the lower polariton isqualitatively unaltered, it acquires a finite lifetime due to relaxation of thevalence band hole if the electron density exceeds a certain critical value. Onthe other hand the upper polariton has a finite lifetime for all densities,because it lies in the electron-hole continuum where no bound state exists. Ourcalculations show that a narrow upper polariton quasiparticle still exists as aresult from the interplay between light-matter coupling and final state Coulombinteraction.

Fermi edge polaritons in a highly degenerate 2D electron gas: a diagrammatic theory