  We study the interplay of quantum impurity, and collective spinon and holon
dynamics in Zn doped high-T$_c$ cuprates in the normal state. The
two-dimensional t-t$^{\prime}$-J models with one and a small amount of Zn
impurity are investigated within a numerical method based on the double-time
Green function theory. We study the inhomogeneities of holon density and
antiferromagnetic correlation background in cases with different Zn
concentrations, and obtain that doped holes tend to assemble around the Zn
impurity with their mobility being reduced. Therefore a bound state of holon is
formed around the nonmagnetic Zn impurity with the effect helping Zn to
introduce local antiferromagnetism around itself. The incommensurate peaks we
obtained in the spin structure factor indicate that Zn impurities have effects
on mixing the q=($\pi$, $\pi$) and q=0 components in spin excitations.
