Abstract
Impurity scattering of low-energy, long-wavelength spin waves in a Mott-Hubbard antiferromagnet doped with static, nonmagnetic impurities is studied using a perturbative approach within the random phase approximation for the transverse spin-fluctuation propagator. Corrections to spin-wave energy are obtained to first order in impurity concentration, and in two dimensions a logarithmically divergent reduction in spin-wave velocity is obtained. The analysis is extended to a layered Mott-Hubbard antiferromagnet and the logarithmic divergence is shown to be cutoff by the interlayer hopping term. Magnetic dynamics in the layered antiferromagnet is studied, and a quantitative estimate is obtained for the reduction in N\'eel temperature with impurity concentration which is in agreement with neutron-scattering results for zinc-doped ${\mathrm{La}}_{2}$ ${\mathrm{CuO}}_{4}$. \textcopyright{} 1996 The American Physical Society.
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