arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2008.01619cond-mat.mes-hallcond-mat.dis-nn
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随机界面热传导中的量子多重分形

Quantum multifractality in thermal conduction across random interfaces

Taishan Zhu, Giuseppe Romano, Lina Yang, Martin Ostoja-Starzewski, Jeffrey C. Grossman

摘要:

随机界面的自仿射形态控制着它们在摩擦学、地质学、(光)电和生物学应用中的功能。然而,关于能量载体或通常的经典/量子波如何与结构不规则性相互作用的知识仍然是不完整的。在这项工作中,我们研究了二维六方晶格上具有不同关联函数的随机界面的振动能量输运。我们发现,在原子尺度上的随机接口康托复合材料填充几何分形,因此多重分形,并计算其量子化电导使用原子的方法。我们得到了一个普遍的标度律,它包含了质量扰动的自相似性,以及用分形维数量化的结构不规则性的指数标度。多重分形性质和康托复合图像也可以扩展到电荷和光子在随机界面上的输运。

英文摘要:

Self-affine morphology of random interfaces governs their functionalities across tribological, geological, (opto-)electrical and biological applications. However, the knowledge of how energy carriers or generally classical/quantum waves interact with structural irregularity is still incomplete. In this work, we study vibrational energy transport through random interfaces exhibiting different correlation functions on the two-dimensional hexagonal lattice. We show that random interfaces at the atomic scale are Cantor composites populated on geometrical fractals, thus multifractals, and calculate their quantized conductance using atomistic approaches. We obtain a universal scaling law, which contains self-similarity for mass perturbation, and exponential scaling of structural irregularity quantified by fractal dimension. The multifractal nature and Cantor-composite picture may also be extendable to charge and photon transport across random interfaces.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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