Thermal entanglement of the spin-1 Ising–Heisenberg diamond chain with biquadratic interaction

doi:10.1088/1674-1056/26/7/070302

中国物理B ›› 2017, Vol. 26 ›› Issue (7): 70302-070302.doi: 10.1088/1674-1056/26/7/070302

Thermal entanglement of the spin-1 Ising–Heisenberg diamond chain with biquadratic interaction

Yi-Dan Zheng(郑一丹), Zhu Mao(毛竹), Bin Zhou(周斌)

Department of Physics, Hubei University, Wuhan 430062, China

收稿日期:2016-11-06 修回日期:2017-03-18 出版日期:2017-07-05 发布日期:2017-07-05
通讯作者: Zhu Mao, Bin Zhou E-mail:maozhu1115@163.com;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 spin-1 Ising–Heisenberg diamond chain with biquadratic interaction

Yi-Dan Zheng(郑一丹), Zhu Mao(毛竹), Bin Zhou(周斌)

Department of Physics, Hubei University, Wuhan 430062, China

Received:2016-11-06 Revised:2017-03-18 Online:2017-07-05 Published:2017-07-05
Contact: Zhu Mao, Bin Zhou E-mail:maozhu1115@163.com;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 of the spin-1 Ising–Heisenberg diamond chain, which can be regarded as a theoretical model for the homometallic molecular ferrimagnet[Ni₃(C₄H₂O₄)₂-(μ₃-OH)₂(H₂O)₄]_n·(2H₂O)_n. Two cases, i.e., the isotropic Heisenberg (Ising–XXX) coupling model and anisotropic Heisenberg (Ising–XXZ) coupling model, are discussed respectively. The negativity is chosen as the measurement of the thermal entanglement. By means of the transfer-matrix approach, we focus on the effects of biquadratic interaction parameters on the negativity of the infinite spin-1 Ising–Heisenberg diamond chain. In the Ising–XXX coupling model, it is shown that for the case with ferromagnetic coupling the thermal entanglement can be induced by the biquadratic interaction, but the external magnetic field will suppress the occurrence of the entanglement induced by the biquadratic interaction. In the Ising–XXZ coupling model, for the case with antiferromagnetic coupling, due to the biquadratic interaction the effect of the anisotropy parameter on the entanglement will be suppressed at near-zero temperature. Moreover, the biquadratic interaction makes the threshold temperature increase. The effects of the external magnetic field on the thermal entanglement are also discussed, and it is observed that the entanglement revival phenomena exist in both models considered.

关键词: thermal entanglement, Ising–, Heisenberg diamond chain, negativity, transfer-matrix approach

Abstract: We investigate the thermal entanglement of the spin-1 Ising–Heisenberg diamond chain, which can be regarded as a theoretical model for the homometallic molecular ferrimagnet[Ni₃(C₄H₂O₄)₂-(μ₃-OH)₂(H₂O)₄]_n·(2H₂O)_n. Two cases, i.e., the isotropic Heisenberg (Ising–XXX) coupling model and anisotropic Heisenberg (Ising–XXZ) coupling model, are discussed respectively. The negativity is chosen as the measurement of the thermal entanglement. By means of the transfer-matrix approach, we focus on the effects of biquadratic interaction parameters on the negativity of the infinite spin-1 Ising–Heisenberg diamond chain. In the Ising–XXX coupling model, it is shown that for the case with ferromagnetic coupling the thermal entanglement can be induced by the biquadratic interaction, but the external magnetic field will suppress the occurrence of the entanglement induced by the biquadratic interaction. In the Ising–XXZ coupling model, for the case with antiferromagnetic coupling, due to the biquadratic interaction the effect of the anisotropy parameter on the entanglement will be suppressed at near-zero temperature. Moreover, the biquadratic interaction makes the threshold temperature increase. The effects of the external magnetic field on the thermal entanglement are also discussed, and it is observed that the entanglement revival phenomena exist in both models considered.

Key words: thermal entanglement, Ising–Heisenberg diamond chain, negativity, transfer-matrix approach

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)

郑一丹, 毛竹, 周斌. Thermal entanglement of the spin-1 Ising–Heisenberg diamond chain with biquadratic interaction[J]. 中国物理B, 2017, 26(7): 70302-070302.

Yi-Dan Zheng(郑一丹), Zhu Mao(毛竹), Bin Zhou(周斌). Thermal entanglement of the spin-1 Ising–Heisenberg diamond chain with biquadratic interaction[J]. Chin. Phys. B, 2017, 26(7): 70302-070302.

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Thermal entanglement of the spin-1 Ising–Heisenberg diamond chain with biquadratic interaction

Thermal entanglement of the spin-1 Ising–Heisenberg diamond chain with biquadratic interaction

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