Аннотация:Abstract The influence of many‐body effects on the cyclotron resonance mass of two‐dimensional polarons is investigated. Firstly, the occupation effect is considered, which arises from the Fermi‐Dirac statistics. In the calculation the Landau levels are considered to be perfectly sharp. It is found that (1) the occupation effect reduces the polaron effect, i.e. the cyclotron resonance mass renormalization due to the polaron effect is reduced over the whole magnetic field region, (2) for a fixed electron density the cyclotron resonance mass shows an oscillating behaviour as a function of the magnetic field. The polaron cyclotron resonance mass attains minimal values when the filling factor passes through integer values. Secondly, the effect of static screening on the polaron cyclotron resonance mass is examined. The electron screening is found to reduce further the cyclotron resonance mass renormalization. The effect of the finite width of the two‐dimensional electron layer is included into the present calculations by considering the lowest subband. After taking into account the nonparabolicity of the electron energy band, the calculated cyclotron resonance mass is compared to the recent experimental data for GaAsAl 1− x Ga x As heterostructures. Good agreement is found in the high magnetic field region, i.e. for magnetic fields H > 12 T.
