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arXiv 1003.2271cond-mat.str-elcond-mat.mes-hall
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石墨烯中电子-电子相互作用在RKKY耦合中的重要性

The importance of electron-electron interactions in the RKKY coupling in graphene

Annica M. Black-Schaffer

摘要:

我们表明,载体介导的交换相互作用,所谓的RKKY耦合,在石墨烯中的两个磁性杂质的时刻之间的显着修改中存在的电子-电子相互作用。使用平均场近似的Hubbard- $U$模型,我们表明,$(1+\cos(2{\bf k}_D\cdot {\bf R})$振荡存在于散装的非相互作用的电子消失和幂律衰减变得更长的范围内增加电子相互作用。在锯齿形石墨烯纳米带中,任何有限的$U$的影响甚至更大,使得长距离RKKY耦合距离独立。将我们的平均场结果与第一原理结果进行比较,我们还提取了令人惊讶的大值$U$,表明石墨烯非常接近反铁磁不稳定性。

英文摘要:

We show that the carrier-mediated exchange interaction, the so-called RKKY coupling, between two magnetic impurity moments in graphene is significantly modified in the presence of electron-electron interactions. Using the mean-field approximation of the Hubbard-$U$ model we show that the $(1+\cos(2{\bf k}_D\cdot {\bf R})$-oscillations present in the bulk for non-interacting electrons disappear and the power-law decay becomes more long ranged with increasing electron interactions. In zigzag graphene nanoribbons the effects are even larger with any finite $U$ rendering the long-distance RKKY coupling distance independent. Comparing our mean-field results with first-principles results we also extract a surprisingly large value of $U$ indicating that graphene is very close to an antiferromagnetic instability.

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