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We consider a single impurity with spin $S$ embedded in a three-dimensionalantiferromagnetic system which is close to the quantum critical point (QCP),separating magnetically ordered and disordered phases. Approaching the QCP fromthe disordered phase we study the spatial distribution of spin density andstaggered magnetization induced by the impurity. Using two methods(self-consistent Born approximation and renormalization group) we found a powerlaw decay of the spin density $\propto 1/r^3$, and of the staggeredmagnetization $\propto 1/r$ with relevant logarithmic corrections. Wedemonstrate that the local spin at the impurity site $r=0$ approaches to zeroat the QCP. We show that in the semiclassical limit of large $S$ the problem isequivalent to the exactly solvable independent boson model. Our resultsdemonstrate existence of spin-charge separation in the three dimensionalsystems in the vicinity of the QCP.

Impurity-induced magnetization in three dimensional antiferromagnet at quantum critical point