Ma Ken K W, Feldman D E
Brown Theoretical Physics Center and Department of Physics, Brown University, Providence, Rhode Island 02912, USA.
Phys Rev Lett. 2020 Jul 3;125(1):016801. doi: 10.1103/PhysRevLett.125.016801.
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.
热导率已成为量子霍尔效应及其他领域中拓扑序的有力探测手段。实验结果的解读关键取决于样品尺寸与平衡长度的比值，在此比值下，反向传播的手征模式之间的能量交换变得显著。我们表明，在低温下，对于几乎所有阿贝尔和非阿贝尔拓扑序，平衡长度按1/T²发散。在非阿贝尔PH - 普法夫液体和负磁通里德 - 雷扎伊液体的边缘存在更快的1/T⁴发散。我们探讨了在一个比平衡长度短的样品中1/T²和1/T⁴定律的实验结果。
