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Journal of Magnetism and Magnetic Materials

A study of the spin- XZ chain with long-range interactions in the external magnetic field

Jialiang Li, Lei Shuguo

Published Jun 25, 2008• 2 citations
Publisher
DOI
10.1016/j.jmmm.2008.06.025

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Jialiang Li, Shuguo Lei, (1)常熟理工学院江苏省新型功能材料重点建设实验室,常熟 215500;常熟理工学院物理与电子科学系,常熟 215500; (2)南京工业大学应用物理系,南京 210009

Using the mean-field Jordan-Wigner transformation analysis, we have studied the one-dimensional spin-1/2 XY chain with Z-directional uniform long-range interactions in the external magnetic field. We have obtained such results as the Helmholtz free energy, internal energy, specific heat, magnetization and isothermal susceptibility. We also discuss the first and second-order phase transitions of the system at a finite temperature. Our results agree with results published in literature.

Acta Physica Sinica•Jan 1, 2008•1 citation
Magnetic Transition in Antiferromagnetic Spin-12\frac{1}{2}21​ Chains with Staggered Long-Range Interactions
The entanglement at zero-temperature is studied in a two-qubit XZ spin-1/2 chain model in an external magnetic field which is applied in the z direction. We have obtained an analytical relation for the effect of the external magnetic field on the concurrence. It is shown that the ground state of the system depends on the strength of exchange coupling. We have shown that the analytical relation of the concurrence is independent of Jz. It is shown that for Jz >0 the concurrence is depended on the critical value of the external magnetic field and it is changed at the critical external magnetic field. Also we have shown that for h hc, the concurrence decreases by increasing the external magnetic field. For Jz <0, the concurrence decreases by increasing the external magnetic field.