In this paper, we study the thermal entanglement and geometric quantum discord in Heisenberg XXZ Hamiltonian with nonuniform magnetic field and Dzyaloshinskii–Moriya (DM) interaction. Here, we consider primarily the effect of different factors such as nonuniform magnetic field, exchange interaction \(J\) , Dzyaloshinskii–Moriya interaction \(D\) on the thermal entanglement and the geometric quantum discord for the antiferromagnetic in Heisenberg qubit system. The results indicate that strong DM interaction plays the essential role in the conservation of quantum correlation. For any \(J,\,\,D\) and \(T\) quantum correlation indicates the exact symmetry about the inversion of nonuniform part of magnetic field. Also, these results indicate robustness of the thermal entanglement and the geometric quantum discord against the increasing \(J\) and \(D\) . On the other hand, the geometric quantum discord is more robust for temperature than thermal entanglement. Thus, the results indicate that Quantum correlation can be appreciably manipulated according to the exchange interaction and DM interaction, uniform part and nonuniform part of magnetic field.
