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arXiv 1504.04552cond-mat.mes-hall
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有限能隙石墨烯的变温等离子体激元及其阻尼率

Temperature-dependent Plasmons and Their Damping Rates for Graphene with a Finite Energy Bandgap

Andrii Iurov, Godfrey Gumbs, Danhong Huang, V. Silkin

摘要:

我们获得了数值和封闭形式的解析表达式的有限温度等离子体激元色散关系的内在石墨烯的存在下,在一个有限的能隙的能谱。采用随机相位近似进行计算。分析结果已在高温区和长波长的限制。我们已经发现,在带隙的存在下,等离子体激元阻尼率降低。我们的计算方法也可以应用于硅烯和其他屈曲的蜂窝晶格结构。给出了单层石墨烯与半无限导体库仑耦合时的有限温度等离子体色散关系。无间隙和有间隙的单层石墨烯的两种情况下,厚基板在其附近时进行了研究。当单层与导电基底相互作用时,等离子体激元激发频率和阻尼率都是长波长极限中的平面内波矢量的线性函数,而对于独立的原始或有间隙的石墨烯则不是这种情况。

英文摘要:

We obtained numerical and closed-form analytic expressions for finite-temperature plasmon dispersion relations for intrinsic graphene in the presence of a finite energy gap in the energy spectrum. The calculations were carried out using the random-phase approximation. The analytic results have been derived in the high temperature regime and long-wavelength limit. We have found that the plasmon damping rate decreases in the presence of a band gap. Our method of calculation could also be applied to silicene and other buckled honeycomb lattice structures. The finite-temperature plasmon dispersion relations are presented when a single graphene layer is Coulomb coupled to a semi infinite conductor. Both cases of gapless and gapped monolayer graphene have been investigated when a thick substrate is in their proximity. Both the plasmon excitation frequency and damping rate are linear functions of the in-plane wave vector in the long wavelength limit when a monolayer interacts with a conducting substrate which is not the case for free-standing pristine or gapped graphene.

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