  By using a model Hamiltonian with d-wave superconductivity and competing
antiferromagnetic (AF) orders, the local staggered magnetization distribution
due to nonmagnetic impurities in cuprate superconductors is investigated. From
this, the net magnetic moment induced by a single or double impurities can be
obtained. We show that the net moment induced by a single impurity corresponds
to a local spin with S_z=0, or 1/2 depending on the strength of the AF
interaction and the impurity scattering. When two impurities are placed at the
nearest neighboring sites, the net moment is always zero. For two unitary
impurities at the next nearest neighboring sites, and at sites separated by a
Cu-ion site, the induced net moment has S_z=0, or 1/2, or 1. The consequence of
these results on experiments will be discussed.
