Entanglement and Measurement-induced quantum correlation in Heisenberg spin models

Correlation beyond entanglement is a subject of interest in quantum information. Here we showed the existence of quantum correlation without entanglement in Heisenberg XYZ spin model with external magnetic field, using different versions of measurement-induced nonlocality. Maximally entangled states are shown to possess maximum correlation. •Points of zero entanglement with non-zero correlation are calculated.•Presence of Field induced entanglement.•Consistency of Measurement-Induced Nonlocalities in capturing correlations.•Maximum correlation is ensured only if entanglement is maximum.