The regulation of thermal transport is a challenging topic in complex networks. At present, the hidden physical mechanism behind thermal transport is poorly understood. This paper addresses this issue by proposing a complex network model that focuses on the thermal transport regulation through the manipulation of the network's degree distribution and clustering coefficient. Our findings indicate that increasing the degree distribution regulation parameter $\sigma$ leads to reduced phonon localization and improved thermal transport efficiency. Conversely, increasing the clustering coefficient $c$ results in enhanced phonon localization and reduced thermal transport efficiency. Meanwhile, by calculating the pseudodispersion relation of the network, we find that the maximum (or the second smallest) eigenfrequency decreases with increasing $\sigma$ (or $c$). Finally, we elucidate that phonon localization plays a pivotal role in the thermal transport of the network, as demonstrated through density of states and the participation ratio.

中文翻译：

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复杂网络中热传输的声子局域化调控

热传输的调节是复杂网络中的一个具有挑战性的话题。目前，人们对热传输背后隐藏的物理机制知之甚少。本文通过提出一个复杂的网络模型来解决这个问题，该模型侧重于通过操纵网络的度分布和聚类系数来进行热传输调节。我们的研究结果表明，增加度分布调节参数$\sigma$导致声子局域化减少并提高热传输效率。反之，增加聚类系数$C$导致增强的声子局域化和降低的热传输效率。同时，通过计算网络的伪色散关系，我们发现最大（或第二小）特征频率随着增加而减小$\sigma$（或者$C$）。最后，我们阐明声子局域化在网络的热传输中起着关键作用，正如通过态密度和参与比所证明的那样。