Radiation-induced zero-resistance state at low magnetic fields and near half-filling of the lowest Landau level

We theoretically predict the radiation-induced ``zero-resistance state'' near half-filling of the lowest Landau level, which is caused by the photon-assisted transport in the presence of oscillating density of states due to composite fermion Landau levels, and is analogous to the radiation-induced ``zero-resistance state'' of electrons at low magnetic fields. Based on a non-perturbative theory, we show that the radiation field does not break the bound state of electrons and flux quanta, i.e., composite fermions. Our prediction is independent of the power and frequency of radiation field.