Controllable quantum correlation of the Heisenberg models with inhomogeneous magnetic field

In this paper, we investigate the quantum correlation witnessed by trace distance discord and thermal entanglement in Heisenberg spin models with an inhomogeneous magnetic field. The results show that quantum correlation can be considerable controlled, and trace distance discord is more robust against temperature than thermal entanglement. Moreover, the quantum correlation at the fixed temperature T can be enhanced with coupling coefficient J increasing or magnetic field thinning. On the other hand, for any T and J both of them always exhibit the strict symmetry with respect to the inversion of magnetic field. Interestingly, we confirm that z-component Jz in XXZ model greatly influences its phase diagram.