Abstract
In this paper, the dynamical behavior of the renormalization of negativity in the quantum phase transition has been studied by exploiting the quantum renormalization group method. The results show that the negativity develops two saturated values after several iterations of the renormalization. These values are associated with two different phases, that is, spin-liquid and Neel phases. Furthermore, we not only investigate the performance of the first derivative of the negativity, but explicitly discuss the nonanalytic and scaling behavior which comes from the divergence of the first derivative of negativity as the system becomes large.
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