Thermal Equilibration on the Edges of Topological Liquids
Thermal Equilibration on the Edges of Topological Liquids
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DOI：
10.1103/physrevlett.125.016801
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发表时间：
2020-07-01
影响因子：
8.6
通讯作者：
Feldman, D. E.
中科院分区：
文献类型：
--
作者：
Ma, Ken K. W.;Feldman, D. E.
热导已经成为量子霍尔效应及其他领域拓扑有序性的有力探针。实验结果的解释主要取决于样品尺寸和平衡长度的比值，对向传播手征模之间的能量交换变得显着。我们发现，在低温下的平衡长度发散为1/T-2几乎所有的阿贝尔和非阿贝尔拓扑秩序。一个更快的1/T-4的发散是目前的边缘上的非阿贝尔PH-Pfiran和负通量Read-Rezayi液体。我们解决的实验结果的1/T-2和1/T-4法律在一个样本，短于平衡长度。
Thermal conductance has emerged as a powerful probe of topological order in the quantum Hall effect and beyond. The interpretation of experiments crucially depends on the ratio of the sample size and the equilibration length, on which energy exchange among contrapropagating chiral modes becomes significant. We show that at low temperatures the equilibration length diverges as 1/T-2 for almost all Abelian and non-Abelian topological orders. A faster 1/T-4 divergence is present on the edges of the non-Abelian PH-Pfaffian and negative-flux Read-Rezayi liquids. We address experimental consequences of the 1/T-2 and 1/T-4 laws in a sample, shorter than the equilibration length.