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理论物理通讯:英文版

Application of Mean-Field Jordan-Wigner Transformation to Antiferromagnet System

Jia Li, Lei Shu

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

By using the mean-field Jordan-Wigner transformation analysis,this paper studies the one-dimensional spin-1/2 XYZ antiferromagnetic chain in the transverse field with uniform long-range interactions among the z- components of the spins.The thermodynamic quantities,such as Helmholtz free energy,the internal energy,the specific heat,and the isothermal susceptibility,are obtained.Under degenerating condition,our results agree with numerical results of the other literatures.

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•Jul 15, 2010•0 citations
By using the mean-field Jordan-Wigner transformation analysis,this paper studies the one-dimensional spin-1/2 XYZ antiferromagnetic chain in the transverse field with uniform long-range interactions among the z- components of the spins.The thermodynamic quantities,such as Helmholtz free energy,the internal energy,the specific heat,and the isothermal susceptibility,are obtained.Under degenerating condition,our results agree with numerical results of the other literatures.
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The one-dimensional spin-1/2 Heisenberg XXZ ferromagnetic chain with uniform long-range interactions among the z components of the spins in the transverse field was studied by using the mean-field Jordan-Wigner transformation.The analytic expressions and the numerical results of the thermodynamic quantities,including the Helmholtz free energy,internal energy,specific heat,magnetization and isothermal susceptibility,were obtained.We also discussed the phase transitions of the system at a finite temperature.Our results agreed with that from other literatures in the degenerate condition.