arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1402.0767cond-mat.mes-hall
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表面波纹对单层石墨烯电磁响应的影响

Surface corrugations influence on monolayer graphene electromagnetic response

Yu. A. Firsov, N. E. Firsova

摘要:

我们考虑了波纹单层石墨烯膜在太赫兹范围内的电磁(从两个谷)响应。我们研究了辐照石墨烯产生的总电流,第一次考虑到合成电场由于(不可避免的)存在于石墨烯中的固有面外纳米变形和狄拉克电荷粒子的双谷能谱。我们的方法是基于原子量子力学用于描述价$π-σ$键的变化所产生的激活外部周期性电场和狄拉克电子相互作用的机制,这种依赖于时间的扰动。我们考虑的框架内的非相互作用的狄拉克电子模型的问题。假设表面波纹不是很粗糙,我们得到弱场的公式在石墨烯膜中感应的总电流。对于给定的石墨烯表面形式,我们的公式描述了在$E^{ext}(t)$近似下的线性弯曲电流线。我们表明,电流线的局部方向是由合成电场的方向可能本质上不同于一个外部场,并取决于石墨烯膜的局部曲率。我们还证明了由外场产生的谷电流具有依赖于点(x,y)的非零椭圆极化角。谷电流被示出为在不同的谷中以相反的方向旋转。所得结果可应用于太赫兹光学和光电子学中不同器件的分析以及狄拉克点的成像实验。

英文摘要:

We consider the corrugated monolayer graphene membrane electromagnetic (from both valleys) response in terahertz range. We study the generated in irradiated graphene total current for the first time taking into account both the synthetic electric fields arising due to the (inevitable) presence in graphene of inherent out-of-plane nanodeformations and the double-valleys energy spectrum of Dirac charge particles. Our approach is based on atomistic quantum mechanics used for the description of valence $π-σ$ bonds changes generated by activating external periodic electric field and also for mechanism of Dirac electron interaction with this time-dependent perturbation. We consider the problem in the framework of the model of noninteracting Dirac electrons. Assuming surface corrugations not to be very rough we obtain for weak fields the formula for the total current induced in graphene membrane. Our formula describes the curved current lines in the linear in $E^{ext}(t)$ approximation for the given graphene surface form. We show that the local direction of current lines is determined by synthetic electric field whose direction may essentially differ from the one of the external field and depends on the local curvature of the graphene membrane. We also demonstrate that valley currents generated by the external field have nonzero elliptic polarization angles depending on the point (x,y). Valley currents are shown to rotate in opposite directions in different valleys. The results obtained below can be applied to the analysis of different devices in terahertz optics and optoelectronics and the imaging experiments at the Dirac point.

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