Abstract
Abstract In recent years, spin-1/2 dimerized antiferromagnets have become a remarkable subject since rich eld-induced quantum phases can appear. In this work, we study second order quantum phase transition caculated by this combined algorithm of the innite timeevolving block decimation method and tensor renormalization group approach. By applying an enough magnetic eld, a spin superuid phase is observed. Moreover, a supersolid phase is also observed in small regime of magnetic eld. We will show the full phase diagrams in various weaker frustrating interlayer interaction.