Multipartite entanglement serves as a faithful detector for quantum phase transitions

We investigate quantum phase transitions (QPTs) in various spin chain systems using the multipartite entanglement measure tau SEF based on the monogamy inequality of squared entanglement of formation (EOF). Our results demonstrate that tau SEF is more effective and reliable than bipartite entanglement or bipartite correlation measures such as EOF, von Neumann entropy, and quantum discord in characterizing QPTs. tau SEF not only detects critical points that may go unnoticed by other detectors but also avoids the issue of singularity at non-critical points encountered by other measures. Furthermore, by applying tau SEF , we have obtained the phase diagram for the XY spin chain with three and four interactions and discovered a new quantum phase.