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arXiv 1406.6765cond-mat.mes-hall
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石墨烯中反常Dirac电子的杂质回旋共振

Impurity cyclotron resonance of anomalous Dirac electrons in graphene

S. C. Kim, S. -R. Eric Yang, A. H. MacDonald

摘要:

我们研究了一个新的特点,杂质回旋共振共同的各种局域化的潜力的石墨烯。在石墨烯中,局域势可以以一种意想不到的方式与磁场相互作用。它可以导致形成异常的束缚态,在势内的概率密度中具有宽度为$R$的尖锐峰,而在势外具有尺寸为磁长度$\ell$的宽峰。我们研究了反常态的光学矩阵元,发现它们异常小,并且对磁场敏感。采用自洽含时Hartree-Fock方法(TDHFA)研究了多体相互作用对其光学电导率的影响。对于完全填充的朗道能级,我们发现一个激发的电子-空穴对,起源于两个反常杂质态之间的光学跃迁,与其它电子-空穴对几乎不相关,尽管它表现出很大的交换自能效应。这种相关性的缺乏是一个小的顶点校正的结果相比,在一个电子-空穴对近似计算的重整化跃迁能量之间的差异。然而,源自正常和异常杂质状态之间的光学跃迁的激发电子-空穴对可以与具有显著光学强度的其他电子-空穴状态基本上相关。

英文摘要:

We have investigated a new feature of impurity cyclotron resonances common to various localized potentials of graphene. A localized potential can interact with a magnetic field in an unexpected way in graphene. It can lead to formation of anomalous boundstates that have a sharp peak with a width $R$ in the probability density inside the potential and a broad peak of size magnetic length $\ell$ outside the potential. We investigate optical matrix elements of anomalous states, and find that they are unusually small and depend sensitively on magnetic field. The effect of many-body interactions on their optical conductivity is investigated using a self-consistent time-dependent Hartree-Fock approach (TDHFA). For a completely filled Landau level we find that an excited electron-hole pair, originating from the optical transition between two anomalous impurity states, is nearly uncorrelated with other electron-hole pairs, although it displays a substantial exchange self-energy effects. This absence of correlation is a consequence of a small vertex correction in comparison to the difference between renormalized transition energies computed within the one electron-hole pair approximation. However, an excited electron-hole pair originating from the optical transition between a normal and an anomalous impurity states can be substantially correlated with other electron-hole states with a significant optical strength.

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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