Investigating quantum criticality and multipartite entanglement in the anisotropic XY model with staggered Dzyaloshinskii–Moriya interaction.

In this work, we utilize the quantum renormalization-group (QRG) method to investigate quantum phase transitions (QPT) in a one-dimensional anisotropic spin-1/2 XY model with Dzyaloshinskii–Moriya (DM) interaction. Within this model, it has been demonstrated that phase diagrams are influenced by both the anisotropy parameter and DM interaction strength. Particularly noteworthy is our identification of QPT in global entanglement (GE) and tripartite negativity as the number of QRG iterations increases, allowing for a clear distinction between the Spin-fluid and Néel phases. Additionally, both GE and tripartite negativity decrease with rising anisotropy parameter, eventually stabilizing. However, we have observed that the robustness of tripartite negativity exceeds that of GE. To gain deeper insights, we conduct a detailed analysis of the first derivative of GE, unveiling scaling and nonanalytic behavior at the critical point. Our findings provide crucial insights into multipartite entanglement dynamics in condensed matter systems, significantly advancing our understanding of the quantum critical properties in Heisenberg spin models. [ABSTRACT FROM AUTHOR]