无规共形场论中的扩散热波
Diffusive Heat Waves in Random Conformal Field Theory
摘要：
我们提出并研究了一个共形场论（CFT）模型与随机位置相关的速度，因为我们认为，自然出现的一维量子多体系统中的热输运的有效描述与某些静态随机杂质。我们提出了精确的分析结果，阐明如何纯粹的弹道热波在标准CFT可以获得正常和异常扩散的贡献，由于我们的杂质。我们的研究结果包括杂质平均格林函数描述的时间演化的能量密度和热流，和一个明确的公式的热导率，除了一个普遍的德鲁德峰，有一个非平凡的真正的经常性的贡献，取决于细节的杂质。
英文摘要：
We propose and study a conformal field theory (CFT) model with random position-dependent velocity that, as we argue, naturally emerges as an effective description of heat transport in one-dimensional quantum many-body systems with certain static random impurities. We present exact analytical results that elucidate how purely ballistic heat waves in standard CFT can acquire normal and anomalous diffusive contributions due to our impurities. Our results include impurity-averaged Green's functions describing the time evolution of the energy density and the heat current, and an explicit formula for the thermal conductivity that, in addition to a universal Drude peak, has a nontrivial real regular contribution that depends on details of the impurities.
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