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arXiv 1409.0621cond-mat.mes-hall
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空穴掺杂石墨烯的阻尼效应:弛豫时间近似

Damping effects in hole-doped graphene: the relaxation-time approximation

I. Kupcic

摘要:

本文讨论了相互作用多带电子系统的动力学电导率。[1]与沃德恒等式的一般形式一致。利用这个电导率公式的半唯象形式,我们证明了只有当系统中的局域电荷守恒和响应理论的规范不变性得到适当处理时,弛豫时间近似才能用来描述弱相互作用多带系统中的阻尼效应。这样的规范不变的响应理论说明在空穴掺杂的石墨烯中的传导电子的共同紧束缚模型。该模型预测两个明显的解决能量损失函数谱的最大值。第一个对应于带内等离子体(通常称为狄拉克等离子体)。另一方面,第二个最大值($π$等离子体结构)只是单电子态密度中的范霍夫奇点的结果。的直流电阻率和动态电导率的实部被发现是很好地描述的弛豫时间近似,但只有在参数空间中的阻尼是由直接散射过程为主。因此,狄拉克等离子体的弹道输运和阻尼问题需要放弃弛豫时间近似。

英文摘要:

The dynamical conductivity of interacting multiband electronic systems derived in Ref.[1] is shown to be consistent with the general form of the Ward identity. Using the semiphenomenological form of this conductivity formula, we have demonstrated that the relaxation-time approximation can be used to describe the damping effects in weakly interacting multiband systems only if local charge conservation in the system and gauge invariance of the response theory are properly treated. Such a gauge-invariant response theory is illustrated on the common tight-binding model for conduction electrons in hole-doped graphene. The model predicts two distinctly resolved maxima in the energy-loss-function spectra. The first one corresponds to the intraband plasmons (usually called the Dirac plasmons). On the other hand, the second maximum ($π$ plasmon structure) is simply a consequence of the van Hove singularity in the single-electron density of states. The dc resistivity and the real part of the dynamical conductivity are found to be well described by the relaxation-time approximation, but only in the parametric space in which the damping is dominated by the direct scattering processes. The ballistic transport and the damping of Dirac plasmons are thus the questions that require abandoning the relaxation-time approximation.

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