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arXiv 1608.02547cond-mat.mtrl-sci
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超窄石墨烯纳米带热导率与沟道宽度的关系

On the channel width-dependence of the thermal conductivity in ultra-narrow graphene nanoribbons

Hossein Karamitaheri, Neophytos Neophytou

摘要:

特别是低维材料和石墨烯纳米带的热导率受到线边缘粗糙度散射强度的限制。表征粗糙度强度的一种方式是热导率对W^β形式的沟道宽度的依赖性。虽然在电子输运的情况下,这种依赖性已经得到了很好的研究,导致纳米线和量子阱的W^6和纳米带的W^4,但在声子输运的情况下,这种依赖性是什么还不清楚。在这项工作中,使用晶格动力学和非平衡格林函数模拟,我们研究了线边缘粗糙度的影响下的超窄石墨烯纳米带的热导率的宽度依赖性。我们表明,指数β实际上不是一个单一的定义明确的数字,但它是不同的声子谱的不同部分取决于声子输运是弹道,扩散,或本地化。指数β对于半弹道声子输运取β < 1的值,对于亚扩散或局域声子取β >> 1的值,并且仅在输运是扩散的情况下取β = 1。热导率对W^β的总体依赖性取决于主要声子模式(通常是声学模式)的宽度依赖性。我们表明,由于长的声子平均自由路径,热导率的宽度依赖性成为一个通道长度依赖的属性,因为通道长度决定运输是弹道,扩散,或本地化。

英文摘要:

The thermal conductivity of low-dimensional materials and graphene nanoribbons in particular, is limited by the strength of line-edge-roughness scattering. One way to characterize the roughness strength is the dependency of the thermal conductivity on the channel width in the form W^β. Although in the case of electronic transport this dependency is very well studied, resulting in W^6 for nanowires and quantum wells and W^4 for nanoribbons, in the case of phonon transport it is not yet clear what this dependence is. In this work, using lattice dynamics and Non-Equilibrium Greens Function simulations, we examine the width dependence of the thermal conductivity of ultra-narrow graphene nanoribbons under the influence of line edge-roughness. We show that the exponent β is in fact not a single well-defined number, but it is different for different parts of the phonon spectrum depending on whether phonon transport is ballistic, diffusive, or localized. The exponent β takes values β < 1 for semi-ballistic phonon transport, values β >> than 1 for sub-diffusive or localized phonons, and β = 1 only in the case where the transport is diffusive. The overall W^β dependence of the thermal conductivity is determined by the width-dependence of the dominant phonon modes (usually the acoustic ones). We show that due to the long phonon mean-free-paths, the width-dependence of thermal conductivity becomes a channel length dependent property, because the channel length determines whether transport is ballistic, diffusive, or localized.

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