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arXiv 0808.0931cond-mat.str-el
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带隙石墨烯中的动态极化、屏蔽和等离子体激元

Dynamical polarization, screening, and plasmons in gapped graphene

P. K. Pyatkovskiy

摘要:

在零温度下计算了石墨烯的单圈极化函数,其中包括任意波矢、频率、化学势(掺杂)和带隙。结果表示在初等函数,并被用来找到的等离子体激元模式和静态屏蔽内的随机相位近似的色散。在长波长的等离子体激元光谱的二维(2D)系统的通常平方根行为得到。一个小的(相比于化学势)间隙的存在导致一个新的无阻尼等离子体振子模式的外观。在较大的间隙值,该模式合并与长波长的一个,并消失时,费米能级进入间隙。在大距离处的带电杂质的筛选与无间隙石墨烯中的不同之处在于弗里德尔振荡的较慢衰减($1/r^2$而不是$1/r^3$),类似于常规的2D系统。

英文摘要:

The one-loop polarization function of graphene has been calculated at zero temperature for arbitrary wavevector, frequency, chemical potential (doping), and band gap. The result is expressed in terms of elementary functions and is used to find the dispersion of the plasmon mode and the static screening within the random phase approximation. At long wavelengths the usual square root behaviour of plasmon spectra for two-dimensional (2D) systems is obtained. The presence of a small (compared to a chemical potential) gap leads to the appearance of a new undamped plasmon mode. At greater values of the gap this mode merges with the long-wavelength one, and vanishes when the Fermi level enters the gap. The screening of charged impurities at large distances differs from that in gapless graphene by slower decay of Friedel oscillations ($1/r^2$ instead of $1/r^3$), similarly to conventional 2D systems.

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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