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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.

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