arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.04543cond-mat.mtrl-sci
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描述磁性的亚GGA泛函的简化

Shortcomings of meta-GGA functionals when describing magnetism

Fabien Tran, Guillaume Baudesson, Jesús Carrete, Georg K. H. Madsen, Peter Blaha, Karlheinz Schwarz, David J. Singh

摘要:

最近的一些研究表明,SCAN,属于亚广义梯度近似(MGGA)家庭的功能,导致显着高估磁矩在巡回铁磁金属。然而,这种行为并不是MGGA近似水平所固有的,因为TPSS不会导致如此严重的高估。为了提供一个更广泛的看法MGGA泛函的磁性的准确性,我们扩展到更多的泛函评估,但也反铁磁固体。结果表明,为了描述磁性,与GGA相比,使用MGGA泛函总体上没有真正的优势。对于这两种近似,铁磁金属的改进必然伴随着反铁磁绝缘体的退化(低估),反之亦然。我们还提供了一些分析,以便更详细地了解泛函的数学形式和结果之间的关系。

英文摘要:

Several recent studies have shown that SCAN, a functional belonging to the meta-generalized gradient approximation (MGGA) family, leads to significantly overestimated magnetic moments in itinerant ferromagnetic metals. However, this behavior is not inherent to the MGGA level of approximation since TPSS, for instance, does not lead to such severe overestimations. In order to provide a broader view of the accuracy of MGGA functionals for magnetism, we extend the assessment to more functionals, but also to antiferromagnetic solids. The results show that to describe magnetism there is overall no real advantage in using a MGGA functional compared to GGAs. For both types of approximation, an improvement in ferromagnetic metals is necessarily accompanied by a deterioration (underestimation) in antiferromagnetic insulators, and vice-versa. We also provide some analysis in order to understand in more detail the relation between the mathematical form of the functionals and the results.

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