https://doi.org/10.1140/epjb/s10051-021-00150-7
Regular Article - Solid State and Materials
Multipartite quantum nonlocality and topological quantum phase transitions in a spin-1/2 two-leg Kitaev ladder
School of Electrical and Electronic Engineering, Wuhan Polytechnic University, 430000, Wuhan, China
Received:
28
March
2021
Accepted:
29
June
2021
Published online:
12
July
2021
Multipartite nonlocality, a measure of multipartite quantum correlations, is used to characterize topological quantum phase transitions (QPTs) in an infinite-size spin-1/2 two-leg Kitaev ladder model. First of all, the nonlocality measure 
is singular at the critical points, thus these topological QPTs are accompanied by dramatic changes of multipartite quantum correlations. The influence of the inter-chain coupling upon multipartite nonlocality is also investigated. Furthermore, we carry out scaling analysis and find that the logarithm measure scales linearly as 
, with n the length of the concerned subchain. It is clear that the slope 
plays a central role in the large-n behavior of the nonlocality in the ladder. Especially, as n increases, we find the finite-size slope 
converges slowly in the 
phases which present non-local string orders, and quite rapidly in the 
phase which does not present any string order. We figure out a clear picture to explain these different behaviors.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021
