Thermal entanglement in spin chain with XX, XY, and XZ Heisenberg interaction

In this paper, the quantum correlation of the ۲- spin Heisenberg model systems with Dzyaloshinskii-Moriya interaction and in the presence of the external magnetic field is studied. Three types of the exchange interaction, XX, XY, and XZ interactions are considered . The thermal entanglement of these systems is investigated under the change of the external magnetic field. We found that the temperature behavior of three models is similar, although the critical temperature is different. Also, we investigated the effect of the external magnetic field on the negativity of the system. We observed that all three models have the critical magnetic field in which the negativity of the system becomes zero. In fact, the anisotropic Heisenberg interaction can affect the critical temperature and critical magnetic field of the two- spin systems.

Keywords:

quantum entanglement , Heisenberg Interaction , Dzyaloshinskii-Moriya interaction , external magnetic field , spin chain