Abstract
Abstract The magnetization and quantum phase transitions (QPTs) in a spin-( 1 2 , 1) XXZ chain under external magnetic field are investigated by the infinite time-evolving block-decimation method. A Δ−h magnetization phase diagram including three different ground-state phases, i.e., a ferromagnetic phase, a 1 3 plateau phase, and a spin-fluid phase, is determined. The Kosterlitz–Thouless (KT) point, where the 1 3 plateau phase vanishes, is determined to be (Δc=−0.53, hc=0.23). Except for the KT transition, all the other QPTs belong to the second-order category. By the logarithm behavior of the bipartite entanglement, the central charge in the whole critical spin-fluid phase is evaluated to be c=1. It is found that the Haldane mechanism (picture) can be used to understand the formation of the 1 3 plateau state in the present model. Strong enough longitudinal antiferromagnetic correlation is found to be necessary for the appearance of such a Haldane plateau.
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