Thermal Entanglement in a Two-Qutrit Spin-1 Anisotropic Heisenberg Model

The negativity (N) as a measure of thermal entanglement (TE) is studied for a two−qutrit spin-1 anisotropic Heisenberg XXZ chain with Dzyaloshinskii–Moriya (DM) interaction in an inhomogeneous magnetic field in detail. The effects of the DM interaction parameter D_z on the thermal variation of the N for given values of the external magnetic field B, a parameter b which controls the inhomogeneity of B and the bilinear interaction parameters J_x=J_y≠J_z are obtained. It is found that N persists to higher values and to higher temperatures for the higher values of ±D_z and for the higher positive values of J_z, i.e. in the antiferromagnetic (AFM) case. When J_z<0, the ferromagnetic (FM) case, and D_z is small, and if J_z is strong enough to compete with D_z, N decreases. In addition, N declines with the increasing values of B and b.