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Spin fluctuations and the local spin susceptibility in isovalentlyZn-substituted La$_{2-x}$Sr$_{x}$Cu$_{1-y}$Zn$_y$O$_4$ ($x=0.25$,$y\approx0.01$) are measured via inelastic neutron scattering techniques. AsZn$^{2+}$ is substituted onto the Cu$^{2+}$-sites, an anomalous enhancement ofthe local spin susceptibility $\chi^{\prime\prime}(\omega)$ appears due to theemergence of a commensurate antiferromagnetic excitation centered at wavevector \textbf{Q}$=(\pi, \pi, 0)$ that coexists with the known incommensurateSDW excitations at \textbf{Q}$_{HK}=(\pi\pm\delta,\pi), (\pi,\pi\pm\delta)$.Our results support a picture of Zn-induced antiferromagnetic (AF) fluctuationsappearing through a local staggered polarization of Cu$^{2+}$-spins, and thesimultaneous suppression of T$_c$ as AF fluctuations are slowed in proximity toZn-impurities suggests the continued importance of high energy AF fluctuationsat the far overdoped edge of superconductivity in the cuprates.

Zn-induced spin dynamics in overdoped La$_{2-x}$Sr$_x$Cu$_{1-y}$Zn$_y$O$_4$