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arXiv 0710.0622cond-mat.mes-hall
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石墨烯中的电荷响应函数和一种新的等离激元模式

Charge response function and a novel plasmon mode in graphene

S. Gangadharaiah, A. M. Farid, E. G. Mishchenko

摘要:

非相互作用的二维Dirac电子的极化率在电子-空穴激发边界处具有1/ \sqrt{qv-ω}奇异性。长程电子-电子相互作用对这种奇异性的屏蔽通常在无规相位近似下处理。后者仅在N ->无穷大的极限中是精确的,其中N是“色”简并度。我们发现当n阶梯形项与同阶RPA贡献之比为(\ln)时,梯形顶点修正在接近阈值时变得至关重要|qv-ω|)^n/N^n$.我们对描述激子效应的梯形图的无穷级数进行了解析求和。超过阈值,qv>ω,偏振算子的实部被发现是正的,导致出现强而窄的等离子体共振。

英文摘要:

Polarizability of non-interacting 2D Dirac electrons has a 1/\sqrt{qv-ω} singularity at the boundary of electron-hole excitations. The screening of this singularity by long-range electron-electron interactions is usually treated within the random phase approximation. The latter is exact only in the limit of N -> infinity, where N is the ``color'' degeneracy. We find that the ladder-type vertex corrections become crucial close to the threshold as the ratio of the n-th order ladder term to the same order RPA contribution is (\ln|qv-ω|)^n/N^n$. We perform analytical summation of the infinite series of ladder diagrams which describe excitonic effect. Beyond the threshold, qv>ω, the real part of the polarization operator is found to be positive leading to the appearance of a strong and narrow plasmon resonance.

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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