Multipartite quantum correlations in the extended J₁- J₂ Heisenberg model

Multipartite entanglement and the maximum violation of Bell inequalities are studied in finite clusters of spins in an extended J₁-J₂ Heisenberg model at zero temperature. The ensuing highly frustrated states will unveil a rich structure for different values of the corresponding spin-spin interaction strengths. The interplay between nearest-neighbors, next-nearest neighbors and further couplings will be explored using multipartite correlations. The model is relevant to certain quantum annealing computation architectures where an all-to-all connectivity is considered.