Abstract

The effects of dilute Zn impurities on the uniform magnetic susceptibility are calculated in the normal metallic state for a model of the spin fluctuations of the layered cuprates. It is shown that scatterings from extended impurity potentials can lead to a coupling of the $\mathbf{q}\ensuremath{\sim}(\ensuremath{\pi},\ensuremath{\pi})$ and the $\mathbf{q}\ensuremath{\sim}0$ components of the magnetic susceptibility $\ensuremath{\chi}(\mathbf{q}).$ Within the presence of antiferromagnetic correlations, this coupling can enhance the uniform susceptibility. The implications of this result for the experimental data on Zn substituted ${\mathrm{YBa}}_{2}{\mathrm{Cu}}_{3}{\mathrm{O}}_{7\ensuremath{-}\ensuremath{\delta}}$ are discussed.

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