Institut für Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany.
Institut für Theorie der Kondensierte Materie, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany.
Phys Rev Lett. 2019 Sep 27;123(13):137701. doi: 10.1103/PhysRevLett.123.137701.
Electrical and thermal transport on a fractional quantum Hall edge are determined by topological quantities inherited from the corresponding bulk state. While electrical transport is the standard method for studying edges, thermal transport appears more challenging. Here, we show that the shot noise generated on the edge provides a fully electrical method to probe the edge structure. In the incoherent regime, the noise falls into three topologically distinct universality classes: charge transport is always ballistic while thermal transport is either ballistic, diffusive, or "antiballistic." Correspondingly, the noise either vanishes, decays algebraically, or is constant up to exponentially small corrections in the edge length.
分数量子霍尔边缘的电输运和热输运由来自相应体相的拓扑量决定。尽管电输运是研究边缘的标准方法，但热输运似乎更具挑战性。在这里，我们表明边缘上产生的散粒噪声提供了一种完全电学的方法来探测边缘结构。在非相干 regime 下，噪声分为三个拓扑上不同的普遍类：电荷输运总是弹道的，而热输运要么是弹道的，要么是扩散的，要么是“反弹道的”。相应地，噪声要么消失，要么按幂次衰减，要么在边缘长度上只有指数小的修正时保持常数。
