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arXiv 1706.02418cond-mat.mtrl-sci
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锯齿形石墨烯纳米带中电流注入的相干控制

Coherent control of current injection in zigzag graphene nanoribbons

Cuauhtémoc Salazar, J. L. Cheng, J. E. Sipe

摘要:

我们提出了费米的黄金法则计算的光学载流子注入和电流注入的锯齿形几何形状的石墨烯纳米带的相干控制,使用包络函数的方法。该系统具有强局域态(平带),在低光子能量下具有大的联合态密度;对于宽度超过几十纳米的带,该系统还具有大量的(非平)态,其最大值和最小值接近费米能级。因此,即使掺杂量很小,这些局域态的占据也可以显著改变。在这项工作中,我们计算了在不同的化学势相干控制的相关量,显示了该系统的边缘状态的占领的敏感性。我们考虑相干控制方案所产生的单光子吸收在$2\hbarω$与双光子吸收在$\hbarω$的干扰,和那些所产生的单光子吸收在$\hbarω$的干扰与受激电子拉曼散射(虚拟吸收在$2\hbarω$其次是发射在$\hbarω$)。虽然在大光子能量下,这些过程遵循与2D石墨烯类似的能量依赖性,但锯齿形纳米带在低光子能量下表现出更丰富的结构,这是由联合态密度的发散和共振吸收过程引起的,这可以通过掺杂进行强烈修改。作为注入的载流子电流的品质因数,我们计算得到的群速度。最后,我们提供了我们的模型的有效性限度的估计。

英文摘要:

We present Fermi's golden rule calculations of the optical carrier injection and the coherent control of current injection in graphene nanoribbons with zigzag geometry, using an envelope function approach. This system possesses strongly localized states (flat bands) with a large joint density of states at low photon energies; for ribbons with widths above a few tens of nanometers, this system also posses large number of (non-flat) states with maxima and minima close to the Fermi level. Consequently, even with small dopings the occupation of these localized states can be significantly altered. In this work, we calculate the relevant quantities for coherent control at different chemical potentials, showing the sensitivity of this system to the occupation of the edge states. We consider coherent control scenarios arising from the interference of one-photon absorption at $2\hbarω$ with two-photon absorption at $\hbarω$, and those arising from the interference of one-photon absorption at $\hbarω$ with stimulated electronic Raman scattering (virtual absorption at $2\hbarω$ followed by emission at $\hbarω$). Although at large photon energies these processes follow an energy-dependence similar to that of 2D graphene, the zigzag nanoribbons exhibit a richer structure at low photon energies, arising from divergences of the joint density of states and from resonant absorption processes, which can be strongly modified by doping. As a figure of merit for the injected carrier currents, we calculate the resulting swarm velocities. Finally, we provide estimates for the limits of validity of our model.

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