The energy of the n=0 to n=1 cyclotron resonance transition for a two-dimensional polaron is studied in fourth-order Rayleigh-Schrödinger perturbation theory. Current theories of polaron cyclotron resonance—the generalized Haga variational theory and the generalized Feynman theory calculation of Peeters, Xiaoguang, and Devreese—are compared to the exact weak-coupling results obtained. It is pointed out that the n=1 level pins to the n=0 level at integral numbers of LO-phonon energies. The strength of the two-phonon pinning matrix element is calculated.

• Received 21 August 1986

DOI:https://doi.org/10.1103/PhysRevB.35.4427