https://doi.org/10.1140/epjb/s10051-022-00416-8
Regular Article - Solid State and Materials
Multipartite nonlocality and topological quantum phase transitions in a spin-1/2 XXZ model on a zigzag lattice
School of Electrical and Electronic Engineering, Wuhan Polytechnic University, 430000, Wuhan, China
Received:
5
May
2022
Accepted:
29
August
2022
Published online:
12
September
2022
Multipartite nonlocality is a measure of multipartite quantum correlations. In this paper, we investigate multipartite nonlocality in a spin-
XXZ model on a one-dimensional (1D) infinite-size zigzag lattice. In the ground states, the model can undergo topological-type quantum phase transitions (QPTs) between a singlet dimer (SD) phase and an even-parity dimer (ED) phase. Two nonlocality measures 
(defined on the odd-bond subchains) and 
(defined on the even-bond subchains) are used to characterize these topological-type QPTs. Both measures show some kinds of singularity (i.e., a discontinuity of the measure or the divergence of its derivative) in the QPTs. Furthermore, in the SD phase and in the vicinity of critical regions, is relatively large, and in most regions of the ED phase, is nearly zero. Thus, similar to order parameters in traditional phase transitions, is an effective physical quantity to characterize these topological-type QPTs. Scaling behavior of the nonlocality measure is also discussed.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
