The effect of Dzyaloshinskii-Moriya interaction on entanglement in one-dimensional XY spin model

Abstract

The effects of Dzyaloshinskii-Moriya (DM) interaction on the thermal entanglement of mixed-spin XY chain (1/2,3/2) and spin 1 XY chain are investigated through negativity. By calculating the entanglement between two particles, it was found that the DM interaction can not only increase the entanglement, but also make the entanglement of the particles reach a stationary value. The higher the temperature, the greater the DM interaction is required to make the thermal entanglement arrive at this stationary value. Under the same condition, the entanglement between two spin 1 particles is less than that between mixed-spin. The exchange-coupling interactions between the spins are helpful to strengthen the thermal entanglement, hence the exchange-coupling can be used to modulate the entanglement along with the DM interaction. When the exchange-coupling interaction is small, one can enlarge the DM interaction to increase the entanglement, whereas, when the DM interaction is small, one can increase the thermal entanglement through increasing the exchange-coupling interaction.