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We present a systematic investigation of the effects of "nonmagnetic"impurities on the $s$-wave BCS-BEC crossover in atomic Fermi gases within apairing fluctuation theory. Both pairing and impurity scattering $T$-matricesare treated self-consistently at the same time. While the system is lesssensitive to impurity scattering in the Born limit, for strong impurityscatterers, both the frequency and the gap function are highly renormalized,leading to significant suppression of the superfluid $T_c$, the order parameterand the superfluid density. We also find the formation of impurity bands andsmearing of coherence peak in the fermion density of states, leading to aspectrum weight transfer and finite lifetime of Bogoliubov quasiparticles. Inthe BCS regime, the superfluidity may be readily destroyed by the impurity ofhigh density. In comparison, the superfluidity in unitary and BEC regimes isrelatively more robust.

Impurity effects on BCS-BEC crossover in ultracold atomic Fermi gases