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arXiv 0911.0307cond-mat.str-el
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量子临界点附近Li_2ZrCuO_4 - a自旋1/2 Heisenberg系统的电子结构和磁性

Electronic structure and magnetic properties of Li_2ZrCuO_4 - a spin 1/2 Heisenberg system in vicinity to a quantum critical point

M. Schmitt, J. Malek, S. -L. Drechsler, H. Rosner

摘要:

基于密度泛函方法,我们对准一维链状铜酸盐Li_2ZrCuO_4(Li_2CuZrO_4)的电子结构和磁性进行了详细的理论研究.对于次近邻交换J_2与最近邻交换J_1的相关比率,我们发现α = -J_2/J_1 = 0.22 \pm 0.02,其非常接近临界点1/4。由于这附近的铁磁螺旋临界点,我们详细研究了结构特点,如报告的Li无序和非平面链几何形状的磁相互作用结合LDA的紧束缚模型与LDA+U导出的交换参数的结果的影响。我们的调查是补充的精确对角化研究有限团簇的多带哈伯德模型预测Li_2ZrCuO_4的光学电导率的强烈的温度依赖性。

英文摘要:

Based on density functional calculations, we present a detailed theoretical study of the electronic structure and the magnetic properties of the quasi-one dimensional chain cuprate Li_2ZrCuO_4 (Li_2CuZrO_4). For the relevant ratio of the next-nearest neighbor exchange J_2 to the nearest neighbor exchange J_1 we find alpha = -J_2/J_1 = 0.22\pm0.02 which is very close to the critical point at 1/4. Owing this vicinity to a ferromagnetic-helical critical point, we study in detail the influence of structural peculiarities such as the reported Li disorder and the non-planar chain geometry on the magnetic interactions combining the results of LDA based tight-binding models with LDA+U derived exchange parameters. Our investigation is complemented by an exact diagonalization study of a multi-band Hubbard model for finite clusters predicting a strong temperature dependence of the optical conductivity for Li_2ZrCuO_4.

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