Thermal entanglement in three-qubitIzing model with nearest and next-nearestneighbor interactionswith added Dzyaloshinskii-Morriya interaction at low temperatures

ABSTRACT: Most quantum entanglement investigations are focused on two qubits or some finite (small) chain structure, since the infinite chain structure is a considerably cumbersome task. Therefore, the quantum entanglement properties involving an infinite chain structure is quite important,not only because the mathematical calculation is cumbersome but also because real materialsare well represented by an infinite chain. In this paper we consider a system of 3-spin ½ particles inIzing model with nearest and next-nearest neighbor interactions with added Dzyaloshinskii-Morriya interaction at low temperatures. Lack of inversion symmetry in the presence of the DM interaction stimulated us to study entanglement of the three-qubit through symmetric(SY) and non-symmetric (NYS) ways and calculate the thermal entanglement (concurrence) of any two spins as a function of DM interaction and temperature andfind some intriguing result.