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arXiv 0909.5598cond-mat.mtrl-scicond-mat.quant-gas
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运动外电荷作用下石墨烯的动态极化:无规相位近似

Dynamic polarization of graphene by moving external charges: random phase approximation

K. F. Allison, D. Borka, I. Radović, Lj. Hadžievski, Z. L. Mišković

摘要:

我们评估的停止和图像力的带电粒子平行移动到掺杂的石墨烯片通过使用石墨烯的$π$ -电子带的无规相位近似(RPA)的介电响应形式主义。力的函数的粒子的速度和粒子的距离为一个广泛的范围内的电荷载流子密度在石墨烯。与动力学方程模型的结果进行了详细的比较,揭示了RPA模型中带间单粒子激发对高粒子速度的重要性。我们还考虑了石墨烯和支撑衬底之间的有限间隙的影响,以及通过使用Mermin的程序包括的有限阻尼率的影响。阻尼率估计从一个试探性的比较Mermin损失函数与HREELS实验。在低颗粒速度的限制下,获得了几个分析结果的摩擦系数,显示电荷载流子密度,阻尼率和颗粒距离之间的复杂关系,这可能与涉及石墨烯的表面过程和电化学有关。

英文摘要:

We evaluate the stopping and image forces on a charged particle moving parallel to a doped sheet of graphene by using the dielectric response formalism for graphene's $π$-electron bands in the random phase approximation (RPA). The forces are presented as functions of the particle speed and the particle distance for a broad range of charge-carrier densities in graphene. A detailed comparison with the results from a kinetic equation model reveal the importance of inter-band single-particle excitations in the RPA model for high particle speeds. We also consider the effects of a finite gap between graphene and a supporting substrate, as well as the effects of a finite damping rate that is included through the use of Mermin's procedure. The damping rate is estimated from a tentative comparison of the Mermin loss function with a HREELS experiment. In the limit of low particle speeds, several analytical results are obtained for the friction coefficient that show an intricate relationship between the charge-carrier density, the damping rate, and the particle distance, which may be relevant to surface processes and electrochemistry involving graphene.

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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