Thermal entanglement of the Ising–Heisenberg diamond chain with Dzyaloshinskii–Moriya interaction

doi:10.1088/1674-1056/24/11/110306

中国物理B ›› 2015, Vol. 24 ›› Issue (11): 110306-110306.doi: 10.1088/1674-1056/24/11/110306

Thermal entanglement of the Ising–Heisenberg diamond chain with Dzyaloshinskii–Moriya interaction

谯洁, 周斌

Department of Physics, Hubei University, Wuhan 430062, China

收稿日期:2015-03-12 修回日期:2015-07-26 出版日期:2015-11-05 发布日期:2015-11-05
通讯作者: Zhou Bin E-mail:binzhou@hubu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11274102), the New Century Excellent Talents in University of Ministry of Education of China (Grant No. NCET-11-0960), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20134208110001).

Thermal entanglement of the Ising–Heisenberg diamond chain with Dzyaloshinskii–Moriya interaction

Qiao Jie (谯洁), Zhou Bin (周斌)

Department of Physics, Hubei University, Wuhan 430062, China

Received:2015-03-12 Revised:2015-07-26 Online:2015-11-05 Published:2015-11-05
Contact: Zhou Bin E-mail:binzhou@hubu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11274102), the New Century Excellent Talents in University of Ministry of Education of China (Grant No. NCET-11-0960), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20134208110001).

摘要/Abstract

摘要： We investigate the thermal entanglement in a spin-1/2 Ising-Heisenberg diamond chain, in which the vertical Heisenberg spin dimers alternate with single Ising spins. Due to the fact that the Dzyaloshinskii-Moriya (DM) interaction contributes to unusual and interesting magnetic properties in actual materials, and moreover it plays a significant role in the degree of the entanglement of the Heisenberg quantum spin systems, we focus on the effects of different DM interactions, including D_z and D_x, on the thermal entanglement of the Heisenberg spin dimer. The concurrence, as a measure of spin dimer entanglement, is calculated for different values of exchange interactions, DM interaction, external magnetic field, and temperature. It is found that the critical temperature and the critical magnetic field corresponding to the vanishing of entanglement increase with DM interaction, and the entanglement revival region gets larger by increasing DM interaction, thus DM interaction favors the formation of the thermal entanglement. It is observed that different DM interaction parameters (D_z and D_x) have remarkably different influences on the entanglement. Different from the case D_z, there is the non-monotonic variation of the concurrence with temperature in the case D_x, and additionally the DM interaction D_x can induce the entanglement near zero temperature in the case that the antiferromagnetic Ising-type interaction constant is larger than the antiferromagnetic Heisenberg interaction constant. It is also shown that for the same value of DM interaction the critical magnetic field of the case D_x is larger than that of the case D_z.

关键词: thermal entanglement, Ising-Heisenberg diamond chain, Dzyaloshinskii-Moriya interaction

Abstract: We investigate the thermal entanglement in a spin-1/2 Ising-Heisenberg diamond chain, in which the vertical Heisenberg spin dimers alternate with single Ising spins. Due to the fact that the Dzyaloshinskii-Moriya (DM) interaction contributes to unusual and interesting magnetic properties in actual materials, and moreover it plays a significant role in the degree of the entanglement of the Heisenberg quantum spin systems, we focus on the effects of different DM interactions, including D_z and D_x, on the thermal entanglement of the Heisenberg spin dimer. The concurrence, as a measure of spin dimer entanglement, is calculated for different values of exchange interactions, DM interaction, external magnetic field, and temperature. It is found that the critical temperature and the critical magnetic field corresponding to the vanishing of entanglement increase with DM interaction, and the entanglement revival region gets larger by increasing DM interaction, thus DM interaction favors the formation of the thermal entanglement. It is observed that different DM interaction parameters (D_z and D_x) have remarkably different influences on the entanglement. Different from the case D_z, there is the non-monotonic variation of the concurrence with temperature in the case D_x, and additionally the DM interaction D_x can induce the entanglement near zero temperature in the case that the antiferromagnetic Ising-type interaction constant is larger than the antiferromagnetic Heisenberg interaction constant. It is also shown that for the same value of DM interaction the critical magnetic field of the case D_x is larger than that of the case D_z.

Key words: thermal entanglement, Ising-Heisenberg diamond chain, Dzyaloshinskii-Moriya interaction

中图分类号: (Entanglement production and manipulation)

03.67.Bg

03.67.Mn (Entanglement measures, witnesses, and other characterizations) 75.10.Pq (Spin chain models)

谯洁, 周斌. Thermal entanglement of the Ising–Heisenberg diamond chain with Dzyaloshinskii–Moriya interaction[J]. 中国物理B, 2015, 24(11): 110306-110306.

Qiao Jie (谯洁), Zhou Bin (周斌). Thermal entanglement of the Ising–Heisenberg diamond chain with Dzyaloshinskii–Moriya interaction[J]. Chin. Phys. B, 2015, 24(11): 110306-110306.

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Thermal entanglement of the Ising–Heisenberg diamond chain with Dzyaloshinskii–Moriya interaction

Thermal entanglement of the Ising–Heisenberg diamond chain with Dzyaloshinskii–Moriya interaction

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