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arXiv 0903.1282cond-mat.str-el
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任意自旋层状海森堡磁体的热力学

Thermodynamics of layered Heisenberg magnets with arbitrary spin

I. Juhász Junger, D. Ihle, J. Richter

摘要:

本文给出了任意自旋量子数S的铁磁和反铁磁海森堡模型中长程有序和短程有序的自旋旋转不变格林函数理论。计算了居里温度T_C、Néel温度T_N、比热C_V、层内和层间关联长度等热力学量,探讨了层间耦合和S依赖性的影响。此外,对S>=1的有限二维晶格进行了精确对角化,发现两种方法的结果非常一致,对于准二维和各向同性的三维磁体,我们的理论与量子Monte Carlo和高温级数展开的数据符合得很好.通过与准二维S=1/2磁体的比较,我们得到了不等式T_N>T_C,当层间耦合足够小时,T_N<T_C。计算结果与准二维反铁磁体Zn_2VO(PO_4)_2(S=1/2)和La_2NiO_4(S=1)的实验结果进行了比较。

英文摘要:

We present a spin-rotation-invariant Green-function theory of long- and short-range order in the ferro- and antiferromagnetic Heisenberg model with arbitrary spin quantum number S on a stacked square lattice. The thermodynamic quantities (Curie temperature T_C, Néel temperature T_N, specific heat C_V, intralayer and interlayer correlation lengths) are calculated, where the effects of the interlayer coupling and the S dependence are explored. In addition, exact diagonalizations on finite two-dimensional (2D) lattices with S>=1 are performed, and a very good agreement between the results of both approaches is found. For the quasi-2D and isotropic 3D magnets, our theory agrees well with available quantum Monte Carlo and high-temperature series-expansion data. Comparing the quasi-2D S=1/2 magnets, we obtain the inequalities T_N>T_C and, for small enough interlayer couplings, T_N<T_C. The results for C_V and the intralayer correlation length are compared to experiments on the quasi-2D antiferromagnets Zn_2VO(PO_4)_2 with S=1/2 and La_2NiO_4 with S=1, respectively.

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