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Recent measurements of the doping dependence of the London penetration depth\lambda(x) at low temperatures in clean samples of isovalentBaFe_2[As_(1-x)P_x]_2 at T<<Tc [Hashimoto et al., Science 336, 1554 (2012)]revealed a peak in \lambda(x) near optimal doping x=0.3. The observation of thepeak at T<<Tc, points to the existence of the quantum critical point (QCP)beneath the superconducting dome. We associate such a QCP with the onset of aspin- density-wave order and show that the renormalization of \lambda(x) bycritical magnetic fluctuations, gives rise to the observed feature. We arguethat the case of pnictides is conceptually different from a one-componentGalilean invariant Fermi liquid, for which correlation effects do not cause therenormalization of the London penetration depth at T=0.

Enhancement of the London penetration depth in pnictides at the onset of SDW order under superconducting dome