Microwave-dressed electron–impurity interaction in a two-dimensional electron gas system under intense microwave radiation fields and weak magnetic fields

•The microwave-dressed electron–impurity interaction is investigated analytically.•A splitting of CR is observed when the radiation field becomes intense.•The effective electron–impurity interaction is suppressed at intense radiation field.•Multiphoton transition channels can't be neglected in the vicinity of resonant region.

Within a nonperturbative approach, the electron energy transfer rate induced by microwave-dressed electron–impurity interaction is analyzed theoretically in 2DEGs under weak perpendicular magnetic field. We find that for relatively low radiation levels cyclotron resonance (CR) is observed. However, when the radiation becomes intense, the peak of CR begins to split and the splitting increases with radiation intensity. Furthermore, we also show that multiphoton transition channels cannot be neglected in the vicinity of resonant region. The physical reasons behind these interesting finding are discussed.