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首页> 外文期刊>Physical review >Effect of nonhomogenous dielectric background on the plasmon modes in graphene double-layer structures at finite temperatures
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Effect of nonhomogenous dielectric background on the plasmon modes in graphene double-layer structures at finite temperatures

机译：有限温度下非均匀介电背景对石墨烯双层结构中等离子体激元模的影响

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摘要

We have calculated the plasmon modes in graphene double layer structures at finite temperatures, taking into account the inhomogeneity of the dielectric background of the system. The effective dielectric function is obtained from the solution of the Poisson equation of a three-layer dielectric medium with graphene sheets located at the interfaces, separating the different materials. Due to the momentum dispersion of the effective dielectric function, the intra- and interlayer bare Coulomb interactions in the graphene double layer system acquires an additional momentum dependence-an effect that is of the order of the interlayer interaction itself. We show that the energies of the in-phase and out-of-phase plasmon modes are determined largely by different values of the spatially dependent effective dielectric function. The effect of the dielectric inhomogeneity increases with temperature, and even at high temperatures the energy shift induced by the dielectric inhomogeneity and temperature itself remains larger than the broadening of the plasmon energy dispersions due to the Landau damping. The obtained new features of the plasmon dispersions can be observed in frictional drag measurements and in inelastic light scattering and electron energy-loss spectroscopies.
机译：考虑到系统介电背景的不均匀性，我们在有限温度下计算了石墨烯双层结构中的等离子体激元模。有效介电函数是从三层介电介质的泊松方程的解中获得的，该介电层的石墨烯片位于界面处，从而分隔了不同的材料。由于有效介电功能的动量散布，石墨烯双层系统中的层内和层间裸库仑相互作用获得了附加的动量依赖性，该效应约为层间相互作用本身的量级。我们表明，同相和异相等离子体激元模式的能量很大程度上取决于空间相关有效介电函数的不同值。介电不均匀性的影响随温度而增加，即使在高温下，由于Landau阻尼，由介电不均匀性和温度本身引起的能移也仍然大于等离激元能量色散的展宽。可以在摩擦阻力测量以及非弹性光散射和电子能量损失光谱学中观察到等离激元分散体的新特征。

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