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arXiv 1501.02449cond-mat.mes-hallcond-mat.str-el
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纳米器件强电子关联的从头算理论

Towards a full ab initio theory of strong electronic correlations in nanoscale devices

D. Jacob

摘要:

在本文中,我给出了一个详细的从头计算方法来描述强电子相关性的纳米器件托管过渡金属原子开放$d$ -或$f$ -壳。该方法结合Kohn-Sham密度泛函理论处理弱相互作用电子的静态平均场水平与非微扰多体方法的强相互作用电子在开放的$d$和$f$ -壳层。考虑到原子基组的非正交性,通过在强关联子空间上的投影,得到了多轨道Anderson杂质模型对强相互作用电子的有效描述.一个特别的重点在于对安德森模型的有效屏蔽相互作用矩阵U的从头计算。用单交叉近似或其他杂质求解器技术求解有效安德森模型产生强相关子空间内的动态相关性,从而产生例如近藤效应。作为一个例子,该方法被应用到的情况下的Co吸附原子的Cu(001)表面。计算的低偏压隧道谱显示Fano-Kondo线型与实验测量的相似。Fano-Kondo特征的确切形状以及其宽度相当强烈地依赖于Co $3d$ -壳层的填充。虽然这在一定程度上阻碍了对线形和近藤温度的准确定量预测,但总体物理情况可以相当可靠地预测。

英文摘要:

In this paper I give a detailed account of an ab initio methodology for describing strong electronic correlations in nanoscale devices hosting transition metal atoms with open $d$- or $f$-shells. The method combines Kohn-Sham Density Functional Theory for treating the weakly interacting electrons on a static mean-field level with non-perturbative many-body methods for the strongly interacting electrons in the open $d$- and $f$-shells. An effective description of the strongly interacting electrons in terms of a multi-orbital Anderson impurity model is obtained by projection onto the strongly correlated subspace properly taking into account the non-orthogonality of the atomic basis set. A special focus lies on the ab initio calculation of the effective screened interaction matrix U for the Anderson model. Solution of the effective Anderson model with the One-Crossing approximation or other impurity solver techniques yields the dynamic correlations within the strongly correlated subspace giving rise e.g. to the Kondo effect. As an example the method is applied to the case of a Co adatom on the Cu(001) surface. The calculated low-bias tunnel spectra show Fano-Kondo lineshapes similar to those measured in experiments. The exact shape of the Fano-Kondo feature as well as its width depend quite strongly on the filling of the Co $3d$-shell. Although this somewhat hampers accurate quantitative predictions regarding lineshapes and Kondo temperatures, the overall physical situation can be predicted quite reliably.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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