Nano-phononic crystals have attracted a great deal of research interest in the field of nanoscale thermal transport due to their unique coherent thermal transport behavior. So far, there have been many advances in the theory and simulation studies of coherent thermal transport in nano-phononic crystals. In this paper, we summarize the state-of-the-art studies in this field from the perspective of coherent thermal transport at low temperatures, minimum thermal conductivity, Anderson localization, in various nanosystems, and in the frame of machine learning driven studies. Each part is specifically presented under different simulation methodologies, in which the background theories are also summarized. Accordingly, the controversies between different methodologies in describing wave-like/coherent and particle-like/incoherent thermal phonons are discussed. Various effects on coherent thermal transport are reviewed, including interface roughness, mass disorder, structural randomness, aperiodic ordering, and temperature effect. Finally, an outlook on the future research on coherent thermal transport in nano-phononic crystals is given. This overview provides fundamental and advanced knowledge to understand the coherent thermal transport in nano-phononic crystals, which will be beneficial to the further understanding of the physical picture of thermal phonons and heat transfer related applications.

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纳米声子晶体中的相干热传输：概述

纳米声子晶体由于其独特的相干热传输行为，在纳米级热传输领域引起了极大的研究兴趣。迄今为止，纳米声子晶体相干热输运的理论和模拟研究取得了许多进展。在本文中，我们从低温相干热传输、最小热导率、安德森定域、各种纳米系统和机器学习驱动研究的角度总结了该领域的最新研究。每个部分都在不同的模拟方法下具体呈现，其中还总结了背景理论。因此，讨论了描述波状/相干和粒子状/非相干热声子的不同方法之间的争议。综述了对相干热传输的各种影响，包括界面粗糙度、质量无序、结构随机性、非周期性排序和温度效应。最后，对纳米声子晶体相干热输运的未来研究进行了展望。该概述提供了了解纳米声子晶体中相干热传输的基础和高级知识，这将有利于进一步了解热声子的物理图和热传递相关应用。和温度效应。最后，对纳米声子晶体相干热输运的未来研究进行了展望。本概述提供了了解纳米声子晶体中相干热传输的基础和高级知识，这将有利于进一步了解热声子的物理图和热传递相关应用。和温度效应。最后，对纳米声子晶体相干热输运的未来研究进行了展望。该概述提供了了解纳米声子晶体中相干热传输的基础和高级知识，这将有利于进一步了解热声子的物理图和热传递相关应用。