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Spin dynamics evolution of BaFe$_2$(As$_{1-x}$P$_x$)$_2$ was probed as afunction of P concentration via $^{31}$P NMR. Our NMR study reveals thattwo-dimensional antiferromagnetic (AF) fluctuations are notably enhanced withlittle change in static susceptibility on approaching the AF phase from thesuperconducting dome. Moreover, magnetically ordered temperature $\theta$deduced from the relaxation rate vanishes at optimal doping. These resultsprovide clear-cut evidence for a quantum-critical point (QCP), suggesting thatthe AF fluctuations associated with the QCP play a central role in thehigh-$T_c$ superconductivity.

Unconventional superconductivity and antiferromagnetic quantum critical behavior in the isovalent-doped BaFe2(As1-xPx)2