声子在石墨烯频率依赖热导率中的作用
Role of acoustic phonons in frequency dependent thermal conductivity of graphene
摘要：
我们研究了电子-声子相互作用对二维石墨烯有限频率依赖的电子热导率的影响。我们计算它的各种声学声子存在于石墨烯，其特征在于不同的色散关系，使用记忆函数的方法。发现在零频极限下，纵/横声子和弯曲声子的热导率$κ(T)$服从不同的幂律。对于纵/横声子，$κ(T) \sim T^{-1}$在低温下饱和，在高温下饱和。这些签名定性地同意由玻尔兹曼方程预测的结果。同样，对于弯曲声子，我们发现$κ(T)$在低温下表现出$T^{1/2}$定律，然后在高温下饱和。在有限频率范围内，我们观察到热导率的实部$\text{Re}[κ(ω,T)]$在低频下遵循$ω^{-2}$行为，在高频下变得与频率无关。
英文摘要：
We study the effect of the electron-phonon interaction on the finite frequency dependent electronic thermal conductivity of two dimensional graphene. We calculate it for various acoustic phonons present in graphene and characterized by different dispersion relations using the memory function approach. It is found that the thermal conductivity $κ(T)$ in the zero frequency limit follows different power law for the longitudinal/transverse and the flexural acoustic phonons. For the longitudinal/transverse phonons, $κ(T) \sim T^{-1}$ at the low temperature and saturates at the high temperature. These signatures are qualitatively agree with the results predicted by the Boltzmann equation. Similarly, for the flexural phonons, we find that $κ(T)$ shows $T^{1/2}$ law at the low temperature and then saturates at the high temperature. In the finite frequency regime, we observe that the real part of the thermal conductivity, $\text{Re}[κ(ω,T)]$ follows $ω^{-2}$ behavior at the low frequency and becomes frequency independent at the high frequency.
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